Interviewing applicants for server positions


Question: Berdines Chicken Factory has several retail stores. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following tips.

Amount of Tip ($)                                       Number

$0 to under $5                                              200

5 to under 10                                                100

10 to under 20                                              75

20 to under 50                                              75

50 or more                                                     50

Total                                                             500

a) What is the probability of a tip of $50 or more?

b) Are the categories "$0 to under $5", "5 to under 10", and so on considered mutually exclusive?

c) If the probabilities associated with each outcome were totaled, what would the total be?

d) What is the probability of a tip of up to $10?

e) What is the probability of a tip of less than $50?

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