The "Love Our Earth" organization has promoted “Bring Your Own Cup" for years. A recent survey conducted by “Love Our Earth" and a café revealed that 17% of the customers bring their own cups for take away order when purchasing iced coffee. The selling price of an iced coffee is $28 while customers can get a $2 discount when they bring their own cups. There are 15 customers in the line waiting for the take away order of iced coffee. (a) What is the probability that exactly 3 customers bring their own cups? (b) What is the probability that there are at least 3 customers bring their own cups? (c) Most likely, how many customers in the line would have brought their own cups? What is the probability of its happening? (d) Calculate the expectation, variance, and standard deviation of the income by selling 15 cups of iced coffee.

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Please answer question d)

The "Love Our Earth" organization has promoted “Bring Your Own Cup" for years. A recent survey
conducted by “Love Our Earth" and a café revealed that 17% of the customers bring their own cups for take
away order when purchasing iced coffee. The selling price of an iced coffee is $28 while customers can get
a $2 discount when they bring their own cups. There are 15 customers in the line waiting for the take away
order of iced coffee.
(a) What is the probability that exactly 3 customers bring their own cups?
(b) What is the probability that there are at least 3 customers bring their own cups?
(c) Most likely, how many customers in the line would have brought their own cups?
What is the
probability of its happening?
(d) Calculate the expectation, variance, and standard deviation of the income by selling 15 cups of iced coffee.
Transcribed Image Text:The "Love Our Earth" organization has promoted “Bring Your Own Cup" for years. A recent survey conducted by “Love Our Earth" and a café revealed that 17% of the customers bring their own cups for take away order when purchasing iced coffee. The selling price of an iced coffee is $28 while customers can get a $2 discount when they bring their own cups. There are 15 customers in the line waiting for the take away order of iced coffee. (a) What is the probability that exactly 3 customers bring their own cups? (b) What is the probability that there are at least 3 customers bring their own cups? (c) Most likely, how many customers in the line would have brought their own cups? What is the probability of its happening? (d) Calculate the expectation, variance, and standard deviation of the income by selling 15 cups of iced coffee.
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