Chapter 7: Q. 60 (page 430)

A uniform distribution has a minimum of six and a maximum of ten. A sample of $50$ is taken.
Find the $80$ th percentile for the sums.

Short Answer

Expert verified

The $80$ th percentile for the sums is $406.8586$ .

Step by step solution

Given Information

A uniform distribution has a minimum of six and a maximum of ten. A sample of $50$ is taken.

Calculation

We know that the distribution of the sums is $N (400, 8.165)$

We have to find $z$ from:

$P (Σ x < z) = 0.8$

$P (\frac{Σ x - 400}{8.165} < \frac{z - 400}{8.165}) = 0.8$

If variable $Z$ has a standard normal distribution, then

$P (Z < 0.84) = 0.8$

Thus, we can find $z$ from

$\frac{z - 400}{8.165} = 0.84$

$z - 400 = 6.8586$

$z = 406.8586$ .

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A uniform distribution has a minimum of six and a maximum of ten. A sample of $50$ is taken.
Find the $80$ th percentile for the sums.

Short Answer

Step by step solution

Given Information

Calculation

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A uniform distribution has a minimum of six and a maximum of ten. A sample of 50is taken.Find the 80th percentile for the sums.

Short Answer

Step by step solution

Given Information

Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Pure Maths

Mechanics Maths

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

A uniform distribution has a minimum of six and a maximum of ten. A sample of $50$ is taken.
Find the $80$ th percentile for the sums.