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Binomial & Poisson Distributions · Question 43 of 68

What is the probability that the player scores exactly 3 of the 4 free throws?

Question 43

MediumOriginal question

A basketball player scores each free throw with probability 0.6, independently of the others, and takes 4 free throws. Let XX be the number scored.

What is the probability that the player scores exactly 3 of the 4 free throws?

Options for question 43

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. P(X=3)=4C3(0.6)3(0.4)P(X = 3) = {}^{4}C_{3}(0.6)^{3}(0.4).

  2. 4×0.216×0.4=0.34564 \times 0.216 \times 0.4 = 0.3456.

Worth noting

0.0864 leaves out 4C3=4{}^{4}C_{3} = 4, the four places the miss could be.

Concept
Exactly r successes
Typical time
120 s
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The rule this testsMean and variance of a binomial distribution
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