Products from a certain machine are too large 15% of the time. What is the...

Osvaldo Apodaca

Osvaldo Apodaca

Answered

2022-01-18

Products from a certain machine are too large 15% of the time. What is the probability that in a run of 20 parts, 5 are too large?

Answer & Explanation

Edward Patten

Edward Patten

Expert

2022-01-18Added 38 answers

C520(.15)5(.85)15.103
Explanation:
The probability that 5 parts are too large is .15×.15×.15×.15×.15=(.15)5
and since 5 parts are too large, the other 15 are of acceptable size with probability
(1.15)15. Since any 5 parts can be too large in no particular order, there are C520
ways to do this, so the probability that exactly 5 parts are too large is
C520(.15)5(.85)15.103.
redhotdevil13l3

redhotdevil13l3

Expert

2022-01-19Added 30 answers

Given, product from a certain machine too large
is 15% of time i.e p=0.15
q=1-p=1-0.15=0.85
sample size (n)=20
Binomial distribution: P(X=γ)=nCγpγqnγ
p(X=5)=20C5(0.15)5(0.85)15=0.1028
Answer = 0.1028

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