consider the following context: The coffee house chain
Corner Café operates some of its retail locations around the clock,
twenty-four hours a day. The company's Chief Operations Officer,
Maxine Venti, was wondering about the number of customers overnight
between 2 AM and 5 AM. Let x represents the number of
customers who made purchases during that time overnight at these
open-all-night cafes at randomly selected locations on randomly
selected dates. For example, 5% of these locations had exactly
zero (0) customers during this overnight time
period on a specific date.
x
0
1
2
3
4
5
6
7
8
P(x)
5%
6%
?????
13%
21%
?????
15%
11%
?????
She forgot to enter two probabilities but recalls that or
the chance that there were two customers overnight was exactly half
the chance that there were exactly five customers overnight; also,
she recalls that the probabilities of either no customers
or eight customers making purchases at the kiosks
overnight were equally likely. Complete this
probability distribution table and answer the following questions:
[HINT: Express all answer as percentages using the
percent symbol. Ex: 1% or
99%]
- Random Variables Consider The Following Context The Coffee House Chain Corner Cafe Operates Some Of Its Retail Location 1 (42.32 KiB) Viewed 79 times
- Random Variables Consider The Following Context The Coffee House Chain Corner Cafe Operates Some Of Its Retail Location 2 (85.52 KiB) Viewed 79 times
QUESTION 5 #5: What is the chance that a randomly selected 24-hour cafe did not have exactly seven (7) customers overnight making purchases? QUESTION 6 #6: What is the chance that a randomly selected 24-hour cafe had either three (3) or four (4) customers overnight making purchases? QUESTION 7 #7: What is the chance that a randomly selected 24-hour cafe had neither three (3) nor four (4) customers overnight making purchases? QUESTION 8 #8: What is the chance that a randomly selected 24-hour cafe had no more than two (2) customers making purchases overnight?
QUESTION 9 #9: What is the chance that a randomly selected 24-hour cafe had at least five (5) customers making purchases overnight? QUESTION 10 #10: On average, how many customers did these randomly selected 24-hour cafe have making purchases during these overnight hours? [HINTS: What is the expectation or expected value for this random variable? Express the answer rounded to the nearest whole number of customers. Enter only as a counting number: report approximately 8.49 customers only as 8, or approximately 9.50 customers only as 10.]