Math

StatisticsEssentials Of StatisticsFor a math test on which the mean score was 59 and the standard deviation was 4, what is the probability that a student randomly selected from this class will have a score a. between 55 and 65? __________ b. between 60 and 65? ________ c. above 65? _____________ d. between 60 and 50? ____________ e. between 55 and 50? ___________ f. below 55? ___________BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 5, Problem 5.9P

Textbook Problem

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For a math test on which the mean score was 59 and the standard deviation was 4, what is the probability that a student randomly selected from this class will have a score

**a.** between 55 and 65? __________

**b.** between 60 and 65? ________

**c.** above 65? _____________

**d.** between 60 and 50? ____________

**e.** between 55 and 50? ___________

**f.** below 55? ___________

Expert Solution

To determine

a)

**To find:**

The probability that the student selected will have a score between 55 and 65.

**Given:**

The distribution of the scores is normal with a mean of 59 and standard deviation of 4.

**Description:**

The normal curve is symmetrical and its mean is equal to the median. The area below and above the mean is 50% or 0.05.

**Formula used:**

Let the data values be denoted by

The formula to calculate the

Where,

**Calculation:**

Given that the mean is 59 and standard deviation is 4.

For the score of 55,

Substitute 55 for

The area between mean and the score

Expert Solution

To determine

**To find:**

The probability that the student selected will have a score between 60 and 65.

Expert Solution

To determine

c)

**To find:**

The probability that the student selected will have a score above 65.

Expert Solution

To determine

d)

**To find:**

The probability that the student selected will have a score between 60 and 50.

Expert Solution

To determine

e)

**To find:**

The probability that the student selected will have a score between 55 and 50.

Expert Solution

To determine

**To find:**

The probability that the student selected will have a score below 55.

Essentials Of Statistics

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