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Binomial & Poisson Distributions · Question 32 of 68

What is the probability that the player scores all 4 free throws?

Question 32

EasyOriginal 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 all 4 free throws?

Options for question 32

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. P(X=4)=0.64P(X = 4) = 0.6^{4}.

  2. 0.12960.1296.

Worth noting

0.0256 is 0.440.4^{4}, the chance of missing all four.

Concept
All successes
Typical time
90 s
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The rule this testsMean and variance of a binomial distribution
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