question archive A grocery store is reviewing its restocking policies and has analyzed the number of half-gallon containers of orange juice sold each day for the past month
A grocery store is reviewing its restocking policies and has analyzed the number of half-gallon containers of orange juice sold each day for the past month
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A grocery store is reviewing its restocking policies and has analyzed the number of half-gallon containers of orange juice sold each day for the past month. The data are given below:
Number Sold Morning Afternoon Evening
0-19 3 8 2
20-39 3 4 3
40-59 12 6 4
60-79 4 9 9
80-99 5 3 6
100 or more 3 0 6
Total 30 30 30
(a) What is the probability that on a randomly selected day the number of cartons of orange juice sold in the evening is between 80 and 99?
(b) What is the probability that 39 or fewer cartons were sold during a randomly selected afternoon?
(c) What is the probability that either 0-19 or 100 or more cartons were sold in a randomly selected morning?
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Answer:
(a) What is the probability that on a randomly selected day the number of cartons of orange juice sold in the evening is between 80 and 99?
P = 6/30
(b) What is the probability that 39 or fewer cartons were sold during a randomly selected afternoon?
P = 12/30
(c) What is the probability that either 0-19 or 100 or more cartons were sold in a randomly selected morning?
P = 6/30
Step-by-step explanation
(a) By looking at the data, we can see 6 out of 30 days the number of cartons of orange juice sold in the evening is between 80 and 99. So its probability is 6/30.
(b) We pick two classes here: 0-19 and 20-39. Total number of days is 8+4 = 12 out of 30 for afternoon.
(c) We pick two classes here: 0-19 and 100 or more. Total number of days is 3+3 = 6 out of 30 for morning.
