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wariber [46]
3 years ago
10

The average number of earthquakes that occur in Los Angeles over one month is 36. Assume the standard deviation is 3.6. if a ran

dom sample of 35 months is selected, find the probability that the mean of the sample is between 34 and 37.5.
Mathematics
1 answer:
Ghella [55]3 years ago
4 0

Answer: 0.9927

Step-by-step explanation:

We assume that  the number of earthquakes that occur in Los Angeles follows normal distribution.

As per given , we have

\mu=36\\\\ \sigma= 3.6

Sample size : n= 35

Let \overline{x} be the sample mean.

Now ,

P(34

Hence, the probability that the mean of the sample is between 34 and 37.5. is 0.9927 .

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