M4 Problem Set

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Portage Learning *

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110

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Industrial Engineering

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Jan 9, 2024

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Uploaded by ProfessorPonyMaster1003

M4: Problem Set Question 1 A barber expects to get between zero and six customers per hour in his barber shop. The probability of these is given as follows: Find the number of expected customers that the barber will get per hour. Also, find the variance and standard deviation of this data.

Question 2 A baseball player has a batting average of .211 (in other words, he gets a hit 21.1 % of the time that he goes up to bat). If he goes up to bat 13 times, what is the probability that he will get exactly 4 hits?

Question 3 A large shipment of light bulbs has just arrived at a store. It has been revealed that 17 % of the light bulbs are defective (the other light bulbs are good). Suppose that you choose 6 light bulbs at random. What is the probability that 2 or less of the bulbs are defective.

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Question 4 (Remember: You may find the standard normal table by clicking Help Files.) Be sure to number each of your answers.

Question 5 (Remember: You may find the standard normal table by clicking Help Files) Be sure to number each of your answers.

Question 6 A farmer harvests several heads of iceberg lettuce. The weight of the heads of lettuce are normally distributed with a mean weight of 2.2 pounds and a standard deviation of .55 pounds. If you choose a head of lettuce at random, what is the probability that the head you chose will weigh: a) Less than 2 pounds? b) Greater than 2.5 pounds? c) Between 1.8 pounds and 2.7 pounds? Your Answer: a) 35.9% chance it will weigh less than 2 lb. b) 29.1% chance it will weigh more than 2.5 lb. c) 58.6% chance it will weigh between 1.8 and 2.7 lb.

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Question 6 Answer

Question 7 The time that people stand in the waiting line at a particular fast food restaurant is normally distributed with a mean time of 130 seconds and a standard deviation of 25 seconds. If you go to that fast food restaurant, what is the probability that you will stand in the waiting line for: a) More than 150 seconds? b) Less than 120 seconds? c) Between 110 seconds and 150 seconds?

Question 7 Answer

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M4 Problem Set

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