10
QuizMultiple Choice

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Question 10 • CARE_24_25_TX-Mathematical Models with Applications B

Examine the following table. x12345P(x)0.20.30.40.10.05Does this table represent a probability distribution? Explain your answer.

Answer
A
Yes, because the sum of the probabilites is less than one.
B
Yes, because the sum of the probabilities is more than one.
C
No, because the sum of the probabilities is more than one.
D
No, because the sum of the probabilities is less than one.

Explanation

For a probability distribution, all probabilities must add up to 1. Here, 0.20 + 0.30 + 0.40 + 0.10 + 0.05 = 1.05, which is greater than 1. So this is not a probability distribution; choice C says the sum is more than one.

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