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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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