You decide to take a survey of customers at your new café to determine whether there is any difference in the types of drink ordered depending on the sex of the customer. The three categories of interest are hot coffee drinks, cold coffee drinks, and all other beverages. A total of 350 customers are surveyed; of those, 160 are women. 115 customers order a cold coffee beverage and 76 of those customers are men. 100 customers ordered other beverages and 55 women ordered a hot coffee drink. *Use 4 decimal places for these problems* (a) What is the probability that a person in the survey would not be a woman? (b) What is the probability that a customer would order a hot coffee beverage and be a man? (c) What is the probability that a customer would not order a cold coffee drink or be a woman? (d) What is the probability that a cold coffee drink will be ordered given that the customer is a man? (e) What is the probability that the customer is not a man given that an "other" beverage is ordered? (f) Is the selection of a coffee-based drink independent of customer sex?

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You decide to take a survey of customers at your new café to determine whether
there is any difference in the types of drink ordered depending on the sex of the
customer. The three categories of interest are hot coffee drinks, cold coffee
drinks, and all other beverages.
A total of 350 customers are surveyed; of those, 160 are women. 115 customers
order a cold coffee beverage and 76 of those customers are men. 100
customers ordered other beverages and 55 women ordered a hot coffee drink.
*Use 4 decimal places for these problems*
(a) What is the probability that a person in the survey would not be a woman?
(b) What is the probability that a customer would order a hot coffee beverage and
be a man?
(c) What is the probability that a customer would not order a cold coffee drink or
be a woman?
(d) What is the probability that a cold coffee drink will be ordered given that the
customer is a man?
(e) What is the probability that the customer is not a man given that an "other"
beverage is ordered?
(f) Is the selection of a coffee-based drink independent of customer sex?
Transcribed Image Text:You decide to take a survey of customers at your new café to determine whether there is any difference in the types of drink ordered depending on the sex of the customer. The three categories of interest are hot coffee drinks, cold coffee drinks, and all other beverages. A total of 350 customers are surveyed; of those, 160 are women. 115 customers order a cold coffee beverage and 76 of those customers are men. 100 customers ordered other beverages and 55 women ordered a hot coffee drink. *Use 4 decimal places for these problems* (a) What is the probability that a person in the survey would not be a woman? (b) What is the probability that a customer would order a hot coffee beverage and be a man? (c) What is the probability that a customer would not order a cold coffee drink or be a woman? (d) What is the probability that a cold coffee drink will be ordered given that the customer is a man? (e) What is the probability that the customer is not a man given that an "other" beverage is ordered? (f) Is the selection of a coffee-based drink independent of customer sex?
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