# Probability Distribution Test: Quiz!

9 Questions | Total Attempts: 890  Settings  • 1.
Is your favorite restaurant clean? Health officials routinely check sanitary conditions of restaurants. Follow this link to watch a three-minute news report on sanitary conditions of restaurants.   Assume you visit a popular tourist spot and read in the newspaper that in 3 out of every 7 restaurants checked, there were unsatisfacory health conditions found. Assuming you are planning to eat out 10 times while you are there on vacation, answer the following questions. Explain how you would compute the probability of eating in at least one restaurant with unsanitary conditions. Could you use the complement to solve this problem?
• 2.
The number of fire calls the Conestoga Valley Fire Company receives per day is distributed as follows: Number of calls, X 5 6 7 8 9 Probability, P(X) 0.28 0.32 0.09 0.21 0.10 What would happen to the mean if the probability of 8 calls increased to 0.31 and the probability of 6 calls decreased to 0.22?
• 3.
Choose the answer below that identifies a value for y that results in a valid probability distribution.  X 0 1 2 P(X) 0.35 0.5 y
• A.

-1.85

• B.

0.15

• C.

0.6

• D.

1.85

• 4.
Create a probability distribution table showing the assignment of final grades and grade-point scores. An instructor always assigns final grades such that 20% are A, 40% are B, 30% are C, and 10% are D. The grade-point scores are 4 for A, 3 for B, 2 for C, and 1 for D.
• 5.
In a family with two children, find the mean of the number of children who will be girls. Number of girls, X 0 1 2 Probability, P(X) ¼ ½ ¼
• A.

0

• B.

1/4

• C.

1/2

• D.

1

• 6.
Dropping College Courses Use the following table to answer the question. Would you consider the information in the table to be a probability distribution? Reason for Dropping a College Course Frequency Percentage Too difficult 45   Illness 40   Change in work schedule 20   Change in major 14   Family-related problems 9   Money 7   Miscellaneous 6   No meaningful reason 3
• A.

Yes, you can find the probabilties.

• B.

Yes, you only need frequency

• C.

No, the probabilities are not listed.

• D.

No, there is not enough information to find the probabilities.

• 7.
The mean for a probability distribution is the same as the expected value of a discrete random variable of a probability distribution.
• A.

True

• B.

False

• 8.
Tossing a Die Use the table below to answer the question. Find the standard deviation of the number of spots that will appear when a die is tossed. In the toss of a die, the probability distribution for the number of spots that appear is shown below. Outcome, X 1 2 3 4 5 6 Probability, P(X) 0.167 0.167 0.167 0.167 0.167 0.167
• A.

0.167

• B.

1.667

• C.

1.70

• D.

2.9

• 9.
Expected Value A person selects a card from the deck. If it is a red card, she wins \$1. If it is a black card between or including 2 and 10, she wins \$5. If it is a black card, she wins \$10; and if it is a black ace, she wins \$100. Find the expectation of the game. How much should a person bet if the game is to be fair?
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