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Binomial & Poisson Distributions · Question 31 of 68

What is the variance of the number of free throws the player scores?

Question 31

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 variance of the number of free throws the player scores?

Options for question 31

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Variance =npq=4×0.6×0.4= npq = 4 \times 0.6 \times 0.4.

  2. 0.960.96.

Worth noting

0.24 is pqpq without the factor n=4n = 4.

Concept
The binomial variance npq
Typical time
90 s
Your time
—
The rule this testsMean and variance of a binomial distribution
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