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(a) What is the probability of shortage of material in any day? Shortage occurs whenever the available material is less than the amount needed for that day's construction. (b) If there is a shortage of material, what is the probability that there were fewer than 200 units available?

(a) What is the probability of shortage of material in any day? Shortage occurs whenever the available material is less than the amount needed for that day's construction. (b) If there is a shortage of material, what is the probability that there were fewer than 200 units available?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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(3) At a construction project, the amount of material available for any day is variable and can be described with the frequency diagram below. The amount of material used in a day's construction is either 150 units or 250 units, with the probabilities 0.7 and 0.3 (a) What is the probability of shortage of material in any day? Shortage occurs whenever the available material is less than the amount needed for that day's construction. (b) If there is a shortage of material, what is the probability that there were fewer than 200 units available? 0.6 % 0.4% A = Amount Of Moterial Available A 100 150 200 250 300 Hint: the area of the histogram shows the probability, e.g., P(100<A<200) = 0.4% * 100 = 0.4 % Per Unit
Transcribed Image Text:(3) At a construction project, the amount of material available for any day is variable and can be described with the frequency diagram below. The amount of material used in a day's construction is either 150 units or 250 units, with the probabilities 0.7 and 0.3 (a) What is the probability of shortage of material in any day? Shortage occurs whenever the available material is less than the amount needed for that day's construction. (b) If there is a shortage of material, what is the probability that there were fewer than 200 units available? 0.6 % 0.4% A = Amount Of Moterial Available A 100 150 200 250 300 Hint: the area of the histogram shows the probability, e.g., P(100<A<200) = 0.4% * 100 = 0.4 % Per Unit
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