(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?

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Chapter1: Combinatorial Analysis
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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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