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 the $P (x < 3.5 ∣ x < 4)$ is $0.80$ .

Step by step solution

Given information

Table,

Sample mean = 2.50

Standard deviation = 0.8302

Solution

The probability density function to calculate $P (x < 3.5 ∣ x < 4)$ for $1.5 \leq x \leq 4.5$ will be:

$f (x) = \frac{1}{4 - 1.5}$

$= \frac{1}{2.5}$

Thus, the value of $P (x < 3.5 ∣ x < 4)$ is:

$P (x < 3.5 ∣ x < 4) = (3.5 - 1.5) \times (\frac{1}{2.5})$

$= 2 \times \frac{1}{2.5}$

$= 0.80$

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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

Step by step solution

Given information

Solution

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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

Step by step solution

Given information

Solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Pure Maths

Decision Maths

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

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 $P (x < 3.5 | x < 4)$ ?