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question 3 please QUESTION 2 The waiting time for a person in a clinic is X (in

ID: 3052861 • Letter: Q

Question

question 3 please

QUESTION 2 The waiting time for a person in a clinic is X (in minutes), which is uniformly distributed over the interval [1,9]. Calculate the probability that a person has to wait between 2 and 5 minutes. Use 3 decimal places for your answer QUESTION 3 The waiting time for a person in a clinic is X (in minutes), which is uniformly distributed over the interval [1,9]. What is the average waiting time for a person (in minutes)? QUESTION 4 The waiting time for a person in a clinic is X (in minutes), which is uniformly distributed over the interval [1,9]. A person is considered to have waited for too long if this person waits 3 minutes above the average waiting time. Calculate the probability that a person will wait for too long Use 3 decimal places for your answer QUESTION 5 A gamma randorm variable has mean of 1 and variance of 0.5. Find the parameter alpha of this distribution.

Explanation / Answer

QUESTION 3

Average of uniform distribution = (a+b)/2

Here, a = 1

b = 9

Average waiting time of a person (in minutes) = (1+9)/2

= 5