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Chapter 5: Q.5.23 (page 348)

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)?

Short Answer

Expert verified

The value of theP(x=1.5)is zero.

Step by step solution

01

Given information

Table,

Sample mean = 2.50

Standard deviation = 0.8302

02

Solution

Because the probability of a single point is always zero because the region under the curve for any given single point is always 0, the value of P(x=1.5) will be 0.

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Most popular questions from this chapter

Use the following information to answer the next ten questions. The data that follow are the square footage (in 1,000feet squared) of 28homes

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

In this distribution, outcomes are equally likely. What does this mean?

According to the American Red Cross, about one out of nine people in the U.S. have Type B blood. Suppose the blood types of people arriving at a blood drive are independent. In this case, the number of Type B blood types that arrive roughly follows the Poisson distribution.

a. If 100 people arrive, how many on average would be expected to have Type B blood?

b. What is the probability that over 10people out of these 100 have type B blood?

c. What is the probability that more than 20 people arrive before a person with type B blood is found?

What is the area under f(x) if the function is a continuous probability density function?

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

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.
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