GATE EE 2016 Set 2 — Question 9
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Engineering Mathematics → Statistics & Distributions → Binomial Distribution
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Question
Shaquille O' Neal is a 60% career free throw shooter, meaning that he successfully makes 60 free throws out of 100 attempts on average. What is the probability that he will successfully make exactly 6 free throws in 10 attempts?
Correct answer
(A) 0.2508
Solution
This is a binomial probability problem. We are given:
Substitute the given values:
First, calculate the binomial coefficient :
Next, calculate the powers:
Now, multiply these values:
Rounding to four decimal places, we get .Comparing this with the given options:
(A) 0.2508
(B) 0.2816
(C) 0.2934
(D) 0.6000The calculated probability matches option (A).The final answer is
- Probability of success (making a free throw),
- Number of attempts (trials),
- Number of successful free throws desired,
Substitute the given values:
First, calculate the binomial coefficient :
Next, calculate the powers:
Now, multiply these values:
Rounding to four decimal places, we get .Comparing this with the given options:
(A) 0.2508
(B) 0.2816
(C) 0.2934
(D) 0.6000The calculated probability matches option (A).The final answer is
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