Chapter 5: Continuous Random Variables

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 $P(x=1.5)$?

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?

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

. What is b? What does it represent?

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

What is the probability density function?

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

What is the theoretical mean?

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 $P(2<x<10)$.

Use the following information to answer the next ten exercises. 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 modeled by the following distribution: $X~Exp(0.2)$

Graph the distribution

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