MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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QUESTION 3
Application of Combinations in Repeated Independent Trials
An individual has a relatively low likelihood of hitting a target.
This individual has 5 independent trials, each of which has the same probability of success.
a) How many different combinations of hits and misses correspond to 1 hit out of 5?
b) How many different combinations of hits and misses correspond to 2 hits out of 5?
c) How many different combinations of hits and misses correspond to 3 hits out of 5?
d) Suppose the probabilities are the following for H = hit and M = miss:
P(H) = 0.25 and P(M) = 0.75.
Find the probability of 2 consecutive hits followed by 3 consecutive misses P(HHMMM).
Then use the number of combinations in b) to find the probability of 2 hits and 3 misses in any order
P(2 hits)
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Transcribed Image Text:QUESTION 3 Application of Combinations in Repeated Independent Trials An individual has a relatively low likelihood of hitting a target. This individual has 5 independent trials, each of which has the same probability of success. a) How many different combinations of hits and misses correspond to 1 hit out of 5? b) How many different combinations of hits and misses correspond to 2 hits out of 5? c) How many different combinations of hits and misses correspond to 3 hits out of 5? d) Suppose the probabilities are the following for H = hit and M = miss: P(H) = 0.25 and P(M) = 0.75. Find the probability of 2 consecutive hits followed by 3 consecutive misses P(HHMMM). Then use the number of combinations in b) to find the probability of 2 hits and 3 misses in any order P(2 hits)
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