Respuesta :
A common discrete distribution used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability that the golfer will miss at least one of his next eight 5-foot putts is 0.4523.
What is Binomial distribution?
A common discrete distribution is 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.
A.) The probability that this kicker will successfully make all of his next eleven extra-point kicks is,
P(x=11) = ¹¹C₁₁ (0.988¹¹) (0.012⁰)
= 0.8756
B.) The probability that the kicker will miss at least one of his next eleven extra point kicks is,
P(X<11) = 1 - P(X=11)
= 1 - 0.8756
= 0.1243
C.) The probability that this golfer will successfully make all of his next eight 5-foot putts is,
P(x=8) = ⁸C₈ (0.9275⁸) (0.0725⁰)
= 0.5477
D.) The probability that the golfer will miss at least one of his next eight 5-foot putts is,
P(X<8) = 1 - P(X=8)
= 1 - 0.5477
= 0.4523
Learn more about Binomial Distribution:
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