Question 2: The daily amount of coffee, in liters, dispensed by a machine locate

Question

Question 2: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a random variable X having a continuous uniform distribution with a = 7 and b-10. Use this information and answer question Question 8 5 pts Question 2a: What is the distribution of X, and its domain? X-, U(7.10), domain: {7,8,9,10} ·X ~ DU7, 10), domain: {7.8.9, 10} X-U(7.10), domain: [7,101 X-DUI7, 10), domain: 17,10 Question 9 6 pts Question 2b What is the probability that the amount of coffee dispensed by this machine on a given day is at most 8.8 liters? Question 10 7 pts Question 2c: What is the probability that the amount of coffee dispensed by this machine on a given day is less than 7.2 liters or more than 9.5? (use 3 decimal places) Question 11 6 pts Question 2d What is the average amount of coffee dispensed by this machine on a given day?

Explanation / Answer

8) correct option has been chosen

9) P(X<8.8) =(x-a)/(b-a) =(8.8-7)/3 =0.6

10) P(X<7.2)+P(X>9.5) =1-P(7.2<X<9.5)=1-(9.5-7.2)/3 =0.233

11) average =(a+b)/2 =(7+10)/2 =8.5

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