Determine the probability that the revenue from the bar exceeded R1 300 on a particular day.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Use the information provided below to answer questions 9 to 11.
A Cape Town-based restaurant has three sources of revenue: eat-in orders, take-out orders and a bar. The daily
revenue from each source is normally distributed with mean and standard deviation shown in Table 2, below:
Source
Eat-in
Take-out
Bar
Question 9
Table 2: The means and standard deviations of revenues across the three sources.
A 0.3051
B 0.6949
C 0.8051
D 0.1949
Question 10
Determine the probability that the revenue from the bar exceeded R1 300 on a particular day.
Mean
R11 560
R1 282
R1 424
A R11 574
B R13 915
C R12 027
D R11 093
Standard deviation
Question 11
R284
R156
R144
Determine the minimum amount spent on eat-in orders by the top 5 percent of spenders on a particular day.
A 0.0298
B 0.0191
C 0.0064
D 0.8118
Determine the probability that on a particular day, the restaurant generated revenues of exactly R11 699.16, R1 394.32 and
R1 596.80 from the eat-in orders, take-out orders and the bar respectively. Assume that the three revenue sources are
independent of each other.
Transcribed Image Text:Use the information provided below to answer questions 9 to 11. A Cape Town-based restaurant has three sources of revenue: eat-in orders, take-out orders and a bar. The daily revenue from each source is normally distributed with mean and standard deviation shown in Table 2, below: Source Eat-in Take-out Bar Question 9 Table 2: The means and standard deviations of revenues across the three sources. A 0.3051 B 0.6949 C 0.8051 D 0.1949 Question 10 Determine the probability that the revenue from the bar exceeded R1 300 on a particular day. Mean R11 560 R1 282 R1 424 A R11 574 B R13 915 C R12 027 D R11 093 Standard deviation Question 11 R284 R156 R144 Determine the minimum amount spent on eat-in orders by the top 5 percent of spenders on a particular day. A 0.0298 B 0.0191 C 0.0064 D 0.8118 Determine the probability that on a particular day, the restaurant generated revenues of exactly R11 699.16, R1 394.32 and R1 596.80 from the eat-in orders, take-out orders and the bar respectively. Assume that the three revenue sources are independent of each other.
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