Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

a) At a small community Museum, the number of visitor\'s per-hour during the day

ID: 3238179 • Letter: A

Question

a) At a small community Museum, the number of visitor's per-hour during the day has the distribution shown below. Find the mean, the variance and the standard deviation for the data. Before finding the mean, variance and standard deviation, determine of the distribution is a probability distribution. If it is, explain why and if it is not. explain also. i) What is the probability that 13 or 17 visitors will visit the Museum for hour during the day? ii) What is the probability that 14, 15 and 16 people will visit for an hour during different times of the day?

Explanation / Answer

i. P(13 or 17)=P(13)+P(17)=0.12+0.19=0.31

ii. P(14,15 and 16)=P(14)*P(15)*P(16)=0.15*0.29*0.25=0.0109