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Chapter 5: Q.5.22 (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<3.5|x<4)?

Short Answer

Expert verified

The value of theP(x<3.5鈭�x<4)is0.80.

Step by step solution

01

Given information

Table,

Sample mean = 2.50

Standard deviation = 0.8302

02

Solution

The probability density function to calculate P(x<3.5鈭�x<4)for 1.5鈮�x鈮�4.5will be:

f(x)=14鈭�1.5

=12.5

Thus, the value of P(x<3.5鈭�x<4)is:

P(x<3.5鈭�x<4)=(3.5鈭�1.5)脳12.5

=2脳12.5

=0.80

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Most popular questions from this chapter

The percent of persons (ages five and older) in each state who speak a language at home other than English is approximately exponentially distributed with a mean of 9.848. Suppose we randomly pick a state.

a. Define the random variable.X=_________________________________.

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c.X~________

d.渭=________

e.蟽=________

f. Draw a graph of the probability distribution. Label the axes.

g. Find the probability that the percent is less than 12.

h. Find the probability that the percent is between eight and 14.

i. The percent of all individuals living in the United States who speak a language at home other than English is 13.8.

i. Why is this number different from 9.848%?

ii. What would make this number higher than 9.848%?

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f(x)a continuous probability function, is equal to 13and the function is restricted to 1鈮�x鈮�4. DescribePx>32.

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 90thpercentile of square footage for homes?

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