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Chapter 5: Q.5.4 (page 345)

What does the shaded area represent? P(___< x < ___)

Short Answer

Expert verified

The shaded region represents the probabilityP(2<x<5).

Step by step solution

01

Given information

Given in the question is a graph

02

Solution

In the question, it is asked to find the probability of the shaded region

So, here the shaded region represent the following probability

=P(2<x<5)

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Most popular questions from this chapter

Use the following information to answer the next three exercises.

The Sky Train from the terminal to the rental–car and long–term parking center is supposed to arrive every eight minutes. The waiting times for the train are known to follow a uniform distribution.

79. What is the average waiting time (in minutes)?

a. zero

b. two

c. three

d. four

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).

For a continuous probability distribution, 0≤x≤15. What is P(x>15)?

Suppose that on a certain stretch of highway, cars pass at an average rate of five cars per minute. Assume that the duration of time between successive cars follows the exponential distribution.

a. On average, how many seconds elapse between two successive cars?

b. After a car passes by, how long on average will it take for another seven cars to pass by?

c. Find the probability that after a car passes by, the next car will pass within the next 20 seconds.

d. Find the probability that after a car passes by, the next car will not pass for at least another 15 seconds.

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)?
See all solutions

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