A common discrete distribution used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that she makes 2 shots is 27.83%.
A common discrete distribution used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Given that a basketball player makes 39% of her shots from the free throw line. Therefore, we can write the value of p and q as,
p = 0.39
q = 1 - 0.39 = 0.61
As the number of independent shots that a basketball player makes is 3. Therefore, the probability that she makes 2 shots is,
P(X = 2) = ³C₂ (0.39)² (0.61)¹
= 0.2783
= 27.83%
Hence, the probability that she makes 2 shots is 27.83%.
Learn more about Binomial Distribution:
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