Book edition 4th

Author(s) David Moore,Daren Starnes,Dan Yates

Pages 809 pages

ISBN 9781319113339

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Short Answer

Let $X$ represent the score when a fair six-sided die is rolled. For this random variable, $μ_{X} = 3.5$ and $σ_{X} = 1.71$ . If the die is rolled $100$ times, what is the approximate probability that the total score is at least $375$ ?

Result is:

$0.0721$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

we have been given that

$μ_{X} = 3.5$

$σ_{X} = 1.71$

$n = S a m p l e s i z e = 100$

Step 2: Simplify

The mean score is the total score divided by the sample

$\bar{x} = \frac{T o t a l s c o r e}{n}$

The Z score is the value decreased by the mean

$z = \frac{x - μ}{σ / \sqrt{n}} = \frac{3.75 - 3.5}{1.71 / \sqrt{100}} \approx 1.47$

Row is starting with $1.4$ and column is starting with 0.06 of the table.

$P (\bar{X} \geq 3.75) = P (Z > 1.46) = 1 - P (Z < 1.46) = 1 - 0.9279 = 0.0721$

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The Practice of Statistics for AP

Answers without the blur.

Short Answer

Let $X$ represent the score when a fair six-sided die is rolled. For this random variable, $μ_{X} = 3.5$ and $σ_{X} = 1.71$ . If the die is rolled $100$ times, what is the approximate probability that the total score is at least $375$ ?

Step by Step Solution

Step 1: Given information

Step 2: Simplify

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The Practice of Statistics for AP

Answers without the blur.

Short Answer

Let X represent the score when a fair six-sided die is rolled. For this random variable,μX=3.5 and σX=1.71. If the die is rolled 100 times, what is the approximate probability that the total score is at least 375?

Step by Step Solution

Step 1: Given information

Step 2: Simplify

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Let $X$ represent the score when a fair six-sided die is rolled. For this random variable, $μ_{X} = 3.5$ and $σ_{X} = 1.71$ . If the die is rolled $100$ times, what is the approximate probability that the total score is at least $375$ ?