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Kisachek [45]
3 years ago
8

Scores on the Wechsler intelligence quotient (IQ) test for adults have a normal probability distribution with a mean score of 10

0 and a standard deviation of 15 points. The US military has minimum enlistment standards at about an IQ score of 85. Based on IQ scores only, what is the probability that a randomly selected adult does not meet US military enlistment standards
Mathematics
1 answer:
bixtya [17]3 years ago
8 0

Answer:

Probability = 0.1587

Step-by-step explanation:

The provided information is:

Let X be the scores of the IQ test for adults that is normally distributed with mean (\mu) = 100 and standard deviation (\sigma) = 15.

Also, US military has minimum IQ score of 85.

Thus, the probability that randomly selected adult does not meet US military enlistment standards is: P(X

The probability can also be written as:

P(X < x) =P(Z

Thus,

P(X

Using the Normal probability table probability of Z = -1 is 0.1587

Thus, the required probability is 0.1587

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