The probability that an archer hits a target on a given shot is .7. If five shot
ID: 3388745 • Letter: T
Question
The probability that an archer hits a target on a given shot is .7. If five shots are fired, find the probability that the archer hits the target on three shots out of the five.
The probability that an archer hits a target on a given shot is .7. If five shots are fired, find the probability that the archer doesn’t ever hit the target during the five shots.
The probability that an archer hits a target on a given shot is .7. If five shots are fired, find the probability that the archer hits the target on all five shots
Explanation / Answer
The probability that an archer hits a target on a given shot is .7. If five shots are fired, find the probability that the archer hits the target on three shots out of the five.
Binomial distribution used.
n=5
p=0.7
P(X=x) = (nCx) px (1-p)n-x
P( x=3) =0.3087
The probability that an archer hits a target on a given shot is .7. If five shots are fired, find the probability that the archer doesn’t ever hit the target during the five shots.
P( x=0) =0.0024
The probability that an archer hits a target on a given shot is .7. If five shots are fired, find the probability that the archer hits the target on all five shots
P( x=5) =0.1681
Binomial Probabilities
Data
Sample size
5
Probability of an event of interest
0.7
Statistics
Mean
3.5
Variance
1.0500
Standard deviation
1.0247
Binomial Probabilities Table
X
P(X)
0
0.0024
1
0.0284
2
0.1323
3
0.3087
4
0.3602
5
0.1681
Binomial Probabilities
Data
Sample size
5
Probability of an event of interest
0.7
Statistics
Mean
3.5
Variance
1.0500
Standard deviation
1.0247
Binomial Probabilities Table
X
P(X)
0
0.0024
1
0.0284
2
0.1323
3
0.3087
4
0.3602
5
0.1681
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