Question 1

Online Bankers: An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry.
-Find the probability that all 15 have profited from insider information.

Accepted Answer

The answer of Online Bankers: An official from the securities...

Question 2

Online Bankers: An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry.
-Find the probability that at least 6 have profited from insider information.

Accepted Answer

The answer of Online Bankers: An official from the securities...

Question 3

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.
-Find the probability that more than 1 student is a sports fan.

Accepted Answer

The answer of Sports Fans: Suppose that past history shows...

Question 4

Online Bankers: An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry.
-Find the probability that at most 10 have profited from insider information.

Accepted Answer

The answer of Online Bankers: An official from the securities...

Question 5

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.
-Find the probability that at least 1 student is a sports fan.

Accepted Answer

The answer of Sports Fans: Suppose that past history shows...

Question 6

Montana Highways: A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.
-Find P(3$\le$ X $\le$ 6).

Accepted Answer

The answer of Montana Highways: A recent survey in Montana...

Question 7

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.
-Find the probability that exactly 1 student is a sports fan.

Accepted Answer

The answer of Sports Fans: Suppose that past history shows...

Question 8

Montana Highways: A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.
-Find the expected number of vehicles that are traveling on Montana highways and exceeding the speed limit.

Accepted Answer

The answer of Montana Highways: A recent survey in Montana...

Question 9

Montana Highways: A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.
-Find P(X = 2).

Accepted Answer

The answer of Montana Highways: A recent survey in Montana...

Question 10

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.
-Find the probability that at most 1 student is a sports fan.

Accepted Answer

The answer of Sports Fans: Suppose that past history shows...

Question 11

Montana Highways: A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.
-Find the standard deviation of number of vehicles that are traveling on Montana highways and exceeding the speed limit.

Accepted Answer

The answer of Montana Highways: A recent survey in Montana...

Question 12

If X has a binomial distribution with n = 4 and p = 0.3, find P(X > 1).

Accepted Answer

The answer of If X has a binomial distribution with...

Question 13

If X has a binomial distribution with n = 4 and p = 0.3, find P(X = 0).

Accepted Answer

The answer of If X has a binomial distribution with...

Question 14

Online Bankers: An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry.
-What is the expected number of Online bankers who have profited from the use of insider information?

Accepted Answer

The answer of Online Bankers: An official from the securities...

Question 15

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at most one.

Accepted Answer

The answer of If X has a binomial distribution with...

Question 16

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at least one.

Accepted Answer

The answer of If X has a binomial distribution with...

Question 17

Online Bankers: An official from the securities commission estimates that 75% of all online bankers have profited from the use of insider information. Assume that 15 online bankers are selected at random from the commission's registry.
-Find the variance and standard deviation of the number of Online bankers who have profited from the use of insider information.

Accepted Answer

The answer of Online Bankers: An official from the securities...

Question 18

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.
-Find the probability that less than 1 student is a sports fan.

Accepted Answer

The answer of Sports Fans: Suppose that past history shows...

Question 19

Montana Highways: A recent survey in Montana revealed that 60% of the vehicles traveling on highways, where speed limits are posted at 70 miles per hour, were exceeding the limit. Suppose you randomly record the speeds of ten vehicles traveling on US 131 where the speed limit is 70 miles per hour. Let X denote the number of vehicles that were exceeding the limit.
-Find P(4 < X < 9).

Accepted Answer

The answer of Montana Highways: A recent survey in Montana...

Question 20

A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new on-line class, what is the probability that all 4 students selected are traditional students?

Accepted Answer

The answer of A remedial program evenly enrolls tradition and...

Quiz 6: Random Variables and Discrete Probability Distributions

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. -Find the probability that more than 1 student is a sports fan.

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. -Find the probability that at least 1 student is a sports fan.

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. -Find the probability that exactly 1 student is a sports fan.

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. -Find the probability that at most 1 student is a sports fan.

If X has a binomial distribution with n = 4 and p = 0.3, find P(X > 1).

If X has a binomial distribution with n = 4 and p = 0.3, find P(X = 0).

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at most one.

If X has a binomial distribution with n = 4 and p = 0.3, find the probability that X is at least one.

Sports Fans: Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected. -Find the probability that less than 1 student is a sports fan.

A remedial program evenly enrolls tradition and non-traditional students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new on-line class, what is the probability that all 4 students selected are traditional students?