Question

A certain test is designed to measure the satisfaction of an individual with his/her relationship. Suppose that the scores on this test are approximately normally distributed with a mean of 60 and a standard deviation of 8. An individual with a score of 50 or less is considered dissatisfied with his/her relationship. According to this criterion, what proportion of people in relationships are dissatisfied? Round your answer to at least four decimal places.

Answer 1

The probability that an individual will score of 50 or less is 0.06.

Given mean of 60 and standard deviation of 8.

We have to find the probability that individual will score 50or less.

Probability is the chance of happening an event among all the events possible. The probability lies between 0 and 1. The formula to calculate probability is as under:

Probability = number of items/total items.

We have to first find the z value from 50 to 60 which can be found as under:

z value=(50-60)/60

=-0.167

P value from 50 to 60 is 0.44

probability that the individual will score 50 or less is 0.5-0.44

=0.06

Hence the probability that the individual will score 50 or less is 0.06.

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