Question 1

A continuous random variable X has the probability density function: f(x) = 2  ,  0
-What is the probability that X is at most 2?

Accepted Answer

The answer of A continuous random variable X has the...

Question 2

The library is interested in estimating the number of individuals who use the computers during the lunch hour. Which probability distribution should they use?

Accepted Answer

The best choice would be the Poisson distribution as it is commonly used for modeling the number of events occurring in a fixed interval of time or space. In this case, we want to estimate the number of individuals using the computers during a specific time period (lunch hour). The Poisson distribution is appropriate for discrete events that occur randomly and independently in a given time or space, and it allows us to calculate the probability of a certain number of events occurring within that time or space.

Question 3

The local police department is interested in estimating the number of cars that fail to stop at a stop sign during a specified lunch hour. Which probability distribution should they use?​

Accepted Answer

The Poisson distribution is suitable for estimating the number of events (cars failing to stop) occurring within a fixed interval of time (lunch hour) when these events happen independently and at a constant average rate.

Question 4

A continuous random variable X has the probability density function: f(x) = 2  ,  0
-What is the probability that X is between 1 and 3?

Accepted Answer

The answer of A continuous random variable X has the...

Question 5

The public school system is interested in examining the probability of a child being late to school. The child is categorized as either late or not late. What type of distribution should the school use to examine this issue?

Accepted Answer

The situation involves two possible outcomes (late or not late), a fixed number of trials (days of school), and a constant probability of being late each day (which may vary from student to student but can be considered constant for the purpose of the analysis). This fits the criteria for a binomial distribution.

Quiz 5: Normal, Binomial, Poisson, and Exponential Distributions

A continuous random variable X has the probability density function: f(x) = 2 , 0 -What is the probability that X is at most 2?

The library is interested in estimating the number of individuals who use the computers during the lunch hour. Which probability distribution should they use?

The local police department is interested in estimating the number of cars that fail to stop at a stop sign during a specified lunch hour. Which probability distribution should they use?​

A continuous random variable X has the probability density function: f(x) = 2 , 0 -What is the probability that X is between 1 and 3?

The public school system is interested in examining the probability of a child being late to school. The child is categorized as either late or not late. What type of distribution should the school use to examine this issue?

The local police department is interested in estimating the number of cars that fail to stop at a stop sign during a specified lunch hour. Which probability distribution should they use?