For a certain online store, the distribution of number of purchases per hour is approximately normal with mean 1,200 purchases a nd standard deviation 200 purchases. For what proportion of hours will the number of purchases at the online store exceed 1,400 ?
1 answer:
Answer:
0.1587
Detailed explanation:
Given: The number of purchases per hour follows a normal distribution with a mean of 1,200 purchases and a standard deviation of 200 purchases.
That means
Let X represent the number of purchases each hour.
Thus, the proportion of hours during which the peak purchases will exceed 1,400 = 0.1587
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Step-by-step explanation:
The conversions yield 45/60 and 10/60 since the common denominator is established as 60, thus 3/4 of an hour equals 45 minutes and 1/6 of an hour translates to 10 minutes.
