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Mars2501 [29]
3 years ago
14

A normal distribution has \mu = 65 and \sigma = 10. Find the probability that the average score of a group of n = 4 people is be

tween 70 and 75 (both limits included).
Mathematics
1 answer:
Kipish [7]3 years ago
4 0

Answer:

The probability that the average score of a group of n = 4 people is between 70 and 75=0.13591

Step-by-step explanation:

We are given that

\mu=65

\sigma=10

n=4

We have to find the probability that the average score of a group of n = 4 people is between 70 and 75.

P(70

=P(\frac{5}{5}

=P(1

=P(Z

=0.97725-0.84134

=0.13591

Hence,  the probability that the average score of a group of n = 4 people is between 70 and 75=0.13591

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