Based on his past record, Luke, an archer for a college archery team, has a probability of 0.90 of hitting the inner ring of the target with a shot of the arrow. Assume that in one practice Luke will attempt 5 shots of the arrow and that each shot is independent from the others. Let the random variable X represent the number of times he hits the inner ring of the target in 5 attempts. The probability distribution of X is given in the table. X P(X) 0 1 0.00001 0.00045 2 0.00810 3 0.07290 4 0.32805 5 0.59049 What is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X ? (A) 0.40951 (B) 0.50000 (C) 0.59049 (D) 0.91854 (E) 0.99144
Based on his past record, Luke, an archer for a college archery team, has a probability of 0.90 of hitting the inner ring of the target with a shot of the arrow. Assume that in one practice Luke will attempt 5 shots of the arrow and that each shot is independent from the others. Let the random variable X represent the number of times he hits the inner ring of the target in 5 attempts. The probability distribution of X is given in the table. X P(X) 0 1 0.00001 0.00045 2 0.00810 3 0.07290 4 0.32805 5 0.59049 What is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X ? (A) 0.40951 (B) 0.50000 (C) 0.59049 (D) 0.91854 (E) 0.99144
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Why is it that the correct answer is A? What is the solution for the answer? Thanks!
Transcribed Image Text:Based on his past record, Luke, an archer for a college archery team, has a probability of 0.90 of hitting the inner
ring of the target with a shot of the arrow. Assume that in one practice Luke will attempt 5 shots of the arrow and
that each shot is independent from the others. Let the random variable X represent the number of times he hits
the inner ring of the target in 5 attempts. The probability distribution of X is given in the table.
X
P(X)
0
0.00001
1
2
0.00045 0.00810
3
0.07290
4
0.32805
5
0.59049
What is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is
less than the mean of X ?
(A) 0.40951
(B) 0.50000
(C) 0.59049
(D) 0.91854
(E) 0.99144
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