1) Marketing: Income What is the income distribution of super shoppers. In the following table, income units are given in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars

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1) Marketing: Income What is the income distribution of super shoppers. In the following
table, income units are given in thousands of dollars, and each interval goes up to but
does not include the given high value. The midpoints are given to the nearest thousand
dollars
Income
5-15
15-25
25-35
35-45
45-55
55 and
range
more
Midpoint, x
10
20
30
40
50
60
Percent of
21%
14%
22%
15%
20%
8%
super
shoppers
a) Using the income midpoints, x and the percentage of super shoppers, do we have a
valid probability distribution? Explain.
b) Use a histogram to graph the probability distribution of part (a)
c) Compute the expected incomepu of a super shopper.
d) Compute the standard deviation o for the income of super shoppers.
2)The director of a health club conducted a survey and found that 23% of members used only
the pool for workouts. Based on this information, what is the probability that, for a random
sample of 10 members, 4 used the pool for workouts?
3) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a
random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the
acer
Transcribed Image Text:Eht///55BJPRC4rQHWKawiv2z PlohPZXNnCn4sJc6i79t9nMQ/edit $ scholarships Request 1) Marketing: Income What is the income distribution of super shoppers. In the following table, income units are given in thousands of dollars, and each interval goes up to but does not include the given high value. The midpoints are given to the nearest thousand dollars Income 5-15 15-25 25-35 35-45 45-55 55 and range more Midpoint, x 10 20 30 40 50 60 Percent of 21% 14% 22% 15% 20% 8% super shoppers a) Using the income midpoints, x and the percentage of super shoppers, do we have a valid probability distribution? Explain. b) Use a histogram to graph the probability distribution of part (a) c) Compute the expected incomepu of a super shopper. d) Compute the standard deviation o for the income of super shoppers. 2)The director of a health club conducted a survey and found that 23% of members used only the pool for workouts. Based on this information, what is the probability that, for a random sample of 10 members, 4 used the pool for workouts? 3) Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In a random sample of 16 mountain climbers who are going to attempt Mt. McKinley, what is the acer
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