Jordan is practicing field goals. On each attempt, he have a 0.35 chance of making it. Let X be the number of attempts he needs to make five successful attempts. (a) What is E[X]? (b) What is E[X2]? (Hint: Use the variance instead of finding this directly.) (c) What is P[10 ≤ X ≤ 15]?
Jordan is practicing field goals. On each attempt, he have a 0.35 chance of making it. Let X be the number of attempts he needs to make five successful attempts. (a) What is E[X]? (b) What is E[X2]? (Hint: Use the variance instead of finding this directly.) (c) What is P[10 ≤ X ≤ 15]?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Jordan is practicing field goals. On each attempt, he have a 0.35 chance of making it. Let X be the number of attempts he needs to make five successful attempts.
(a) What is E[X]?
(b) What is E[X2]? (Hint: Use the variance instead of finding this directly.)
(c) What is P[10 ≤ X ≤ 15]?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
It is given that n=5 and p=0.35.
(i)
Step 2
(ii)
It is known that, .
So,
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