Refer to the probability distribution in Section 3.1 Exercises 15-18 of the text

Question

Refer to the probability distribution in Section 3.1 Exercises 15-18 of the text. Use the rare event rule to determine if it is unusual for it to take 12 minutes for Susan to drive to school.

15. x= 5 minutes

16. x= 13 minutes

17. x= 6 minutes

18. x= 12 minutes

12. In Exercise 8, is it unusual for a customer to order a 10-inch pizza? 13. In Exercise 9, is it unusual for 6 vehicles to be serviced in a day? 14. In Exercise 10, is it unusual for 5 telephone lines to be in use? Exercises 15-18: The drive time, rounded to the nearest minute, from Susan's home to her school is given in the table below, along with the corresponding probabilities. Use the rare event rule to determine if the given event is unusual for the random variablex- "number of minutes for Susan to drive to school." Drive time (minutes) Probability 0.02 0.04 0.11 0.22 0.30 0.18 0.07 0.03 0.02 0.01 10 12 13 14

Explanation / Answer

Rare event when probability is less than 0.05

P(X=12)=0.03

Since this probability is less than 0.05

It is unusual for it to take 12 min

Same is case with 5 min, 13 min,6 min

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