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Chapter 5: Q.5.25 (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).

Find the probability that a randomly selected home has more than 3,000square feet given that you already know the house has more than 2,000square feet.

Short Answer

Expert verified

The probability that a randomly selected home has more than 3000square feet given that you already know the house has more than 2000 square feet will be0.60.

Step by step solution

01

Given information

Table,

Sample mean = 2.50

Standard deviation = 0.8302

02

Solution

According to the given details of the exercise, the required probability that needs to be calculated is P(x>3鈭�x>2). The probability density function to calculate P(x>3鈭�x>2)for 1.5鈮�x鈮�4.5will be:

f(x)=14.5鈭�2

=12.5

Here, the value of P(x>3鈭�x>2)will be:

P(x>3鈭�x>2)=(4.5鈭�3)脳12.5

=1.5脳12.5

=0.60

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