91Ó°ÊÓ

In a small city, the number of automobile accidents occur with a Poisson distribution at an average of three per week.

a. Calculate the probability that there are at most $2$accidents occur in any given week.

b. What is the probability that there is at least two weeks between any $2$accidents?

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as $X~U(1.5,4.5)$.

What is $P(x<3.5|x<4)$?

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as $X~U(1.5,4.5)$.

What is the ${90}^{th}$percentile of square footage for homes?

The data that follow are the square footage (in 1,000 feet squared) of 28 homes.

The sample mean = 2.50 and the sample standard deviation = 0.8302. The distribution can be written as $X~U(1.5,4.5)$.

Find the probability that a randomly selected home has more than $3,000$square feet given that you already know the house has more than $2,000$square feet.

Use the following information to answer the next eight exercises. A distribution is given as $X~U(0,12)$.

What isa? What does it represent?

A customer service representative must spend different

amounts of time with each customer to resolve various concerns. The amount of time spent with each customer can be

modelled by the following distribution:$X~Exp(0.2)$

Find $P(2<x<10)$.

A distribution is given as $X~U(0,20)$. What is $P(2<x<18)$? Find the${90}^{\mathrm{th}}$percentile.

Use the following information to answer the next eight exercises. A distribution is given as $X~U(0,12)$.

What is the theoretical standard deviation?

Use the following information to answer the next eight exercises. A distribution is given as $X~U(0,12)$.

Draw the graph of the distribution for $P(x>9)$.

Use the following information to answer the next eight exercises. A distribution is given as $X~U(0,12)$.

Find $P(x>9)$.