A basketball player with a poor foul-shot record practices intensively during the off-season. He tells the coach that he has raised his proficiency from 55% to 65%. Dubious, the coach asks him to take 10 shots, and is surprised when the player hits 9 out of 10. Complete parts a) through d) below. a) Suppose the player really is no better than beforelong dashstill a 55% shooter. What's the probability he could hit at least 9 of 10 shots anyway? (Hint: Use a binomial model.)

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tahneetakhan tahneetakhan · Answer 1 · 2019-12-20T14:00:25+01:00

Answer:

0.0232

Explanation:

Solution:

p = 55% = 0.55

n = 10

By using binomial model of probability, we have

P = (X = k) = nCk . p°k . (1 - p)° n-k

Evaluate for (k = 9) and (k = 10)

P = (X = 9) = 10C9 . 0.55°⁹ . (1 - 0.55)° ¹⁰⁻⁹ = 0.0207

P = (X = 10) = 10C10 . 0.55°¹⁰ . (1 - 0.55)°¹⁰⁻¹⁰ = 0.0025

By adding the corresponding probabilities, we have

= 0.0207 + 0.0025

= 0.0232

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