Question 1

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. What is the probability that a randomly selected vitamin will contain between 82 and 100 grams of pyridoxine?

Accepted Answer

The answer of The amount of pyridoxine (in grams) in...

Question 2

TABLE 6-6
The interval between consecutive hits at a web site is assumed to follow an exponential distribution with an average of 40 hits per minute.
-Referring to Table 6-6, what is the average time between consecutive hits?

Accepted Answer

The answer of TABLE 6-6
The interval between consecutive hits at...

Question 3

TABLE 6-5
Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 90 minutes.
-Referring to Table 6-5, what is the probability that the time interval between two consecutive defective light bulbs will be at least 90 minutes?

Accepted Answer

The answer of TABLE 6-5
Suppose the time interval between two...

Question 4

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. The probability is__________ that a product is assembled in between 14 and 16 minutes.

Accepted Answer

The answer of The amount of time necessary for assembly...

Question 5

TABLE 6-7
A company has 125 personal computers. The probability that any one of them will require repair on a given day is 0.15.
-Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution, compute the probability that there will be more than 25 but less than 30 computers that require repair on a given day using a normal approximation.

Accepted Answer

The answer of TABLE 6-7
A company has 125 personal computers....

Question 6

TABLE 6-1
The manager of a surveying company believes that the average number of phone surveys completed per hour by her employees has a normal distribution. She takes a sample of 15 days output from her employees and determines the average number of surveys per hour on these days. The ordered array for this data is: 10.0, 10.1, 10.3, 10.5, 10.7, 11.2, 11.4, 11.5, 11.7,
11.8, 11.8, 12.0, 12.2, 12.2, 12.5.
-Referring to Table 6-1, the last standard normal quantile is_____ .

Accepted Answer

The answer of TABLE 6-1
The manager of a surveying company...

Question 7

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. What is the probability that a randomly selected vitamin will contain at least 100 grams of pyridoxine?

Accepted Answer

The answer of The amount of pyridoxine (in grams) in...

Question 8

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. So, 17% of the products would be assembled within _______ minutes.

Accepted Answer

The answer of The amount of time necessary for assembly...

Question 9

TABLE 6-7
A company has 125 personal computers. The probability that any one of them will require repair on a given day is 0.15.
-Referring to Table 6-7 and assuming that the number of computers that requires repair on a given day follows a binomial distribution, compute the probability that there will be less than 8 computers that require repair on a given day using a normal approximation.

Accepted Answer

The answer of TABLE 6-7
A company has 125 personal computers....

Question 10

TABLE 6-4
John has two jobs. For daytime work at a jewelry store he is paid $200 per month, plus a commission. His monthly commission is normally distributed with mean $600 and standard deviation $40. At night he works as a waiter, for which his monthly income is normally distributed with mean $100 and standard deviation $30. John's income levels from these two sources are independent of each other.
-Referring to Table 6-4, the probability is 0.9 that John's income as a waiter is less than how much in a given month?

Accepted Answer

The answer of TABLE 6-4
John has two jobs. For daytime...

Question 11

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of
 So 50% of the possible Z values are between ______ and ______ (symmetrically distributed about the mean).

Accepted Answer

The answer of Suppose Z has a standard normal distribution...

Question 12

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of
So 85% of the possible Z values are smaller than ______.

Accepted Answer

The answer of Suppose Z has a standard normal distribution...

Question 13

The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh more than 4.4 pounds is______ .

Accepted Answer

The answer of The owner of a fish market determined...

Question 14

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of
The probability that Z is between -0.88 and 2.29 is ______

Accepted Answer

The answer of Suppose Z has a standard normal distribution...

Question 15

Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 15 patients per hour. What is the probability that a randomly chosen arrival to be less than 15 minutes?

Accepted Answer

The answer of Patients arriving at an outpatient clinic follow...

Question 16

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of
The probability that Z is between -2.33 and 2.33 is_____ .

Accepted Answer

The answer of Suppose Z has a standard normal distribution...

Question 17

Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1 patient per hour. What is the probability that a randomly chosen arrival to be less than 20 minutes?

Accepted Answer

The answer of Patients arriving at an outpatient clinic follow...

Question 18

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. Approximately 83% of the vitamins will have at least how many grams of pyridoxine?

Accepted Answer

The answer of The amount of pyridoxine (in grams) in...

Question 19

TABLE 6-5
Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over an interval from 0 to 90 minutes.
-Referring to Table 6-5, what is the probability that the time interval between two consecutive defective light bulbs will be less than 10 minutes?

Accepted Answer

The answer of TABLE 6-5
Suppose the time interval between two...

Question 20

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. The probability is _____ that a product is assembled in less than 12 minutes.

Accepted Answer

The answer of The amount of time necessary for assembly...

Quiz 6: The Normal Distribution and Other Continuous Distributions

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. What is the probability that a randomly selected vitamin will contain between 82 and 100 grams of pyridoxine?

TABLE 6-6 The interval between consecutive hits at a web site is assumed to follow an exponential distribution with an average of 40 hits per minute. -Referring to Table 6-6, what is the average time between consecutive hits?

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. The probability is__________ that a product is assembled in between 14 and 16 minutes.

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. What is the probability that a randomly selected vitamin will contain at least 100 grams of pyridoxine?

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. So, 17% of the products would be assembled within _______ minutes.

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of So 50% of the possible Z values are between and (symmetrically distributed about the mean).

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of So 85% of the possible Z values are smaller than ______.

The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh more than 4.4 pounds is______ .

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of The probability that Z is between -0.88 and 2.29 is ______

Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 15 patients per hour. What is the probability that a randomly chosen arrival to be less than 15 minutes?

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of The probability that Z is between -2.33 and 2.33 is_____ .

Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1 patient per hour. What is the probability that a randomly chosen arrival to be less than 20 minutes?

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. Approximately 83% of the vitamins will have at least how many grams of pyridoxine?

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. The probability is _____ that a product is assembled in less than 12 minutes.

Quiz 6: The Normal Distribution and Other Continuous Distributions

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. What is the probability that a randomly selected vitamin will contain between 82 and 100 grams of pyridoxine?

TABLE 6-6 The interval between consecutive hits at a web site is assumed to follow an exponential distribution with an average of 40 hits per minute. -Referring to Table 6-6, what is the average time between consecutive hits?

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. The probability is__________ that a product is assembled in between 14 and 16 minutes.

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. What is the probability that a randomly selected vitamin will contain at least 100 grams of pyridoxine?

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. So, 17% of the products would be assembled within _______ minutes.

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of So 50% of the possible Z values are between ______ and ______ (symmetrically distributed about the mean).

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of So 85% of the possible Z values are smaller than ______.

The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh more than 4.4 pounds is______ .

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of The probability that Z is between -0.88 and 2.29 is ______

Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 15 patients per hour. What is the probability that a randomly chosen arrival to be less than 15 minutes?

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of The probability that Z is between -2.33 and 2.33 is_____ .

Patients arriving at an outpatient clinic follow an exponential distribution at a rate of 1 patient per hour. What is the probability that a randomly chosen arrival to be less than 20 minutes?

The amount of pyridoxine (in grams) in a multiple vitamin is normally distributed with µ = 110 grams and a = 25 grams. Approximately 83% of the vitamins will have at least how many grams of pyridoxine?

The amount of time necessary for assembly line workers to complete a product is a normal random variable with a mean of 15 minutes and a standard deviation of 2 minutes. The probability is _____ that a product is assembled in less than 12 minutes.

Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of So 50% of the possible Z values are between and (symmetrically distributed about the mean).