The number of products manufactured in a factory in a

Aneeka Hunt

Aneeka Hunt

Answered question

2021-10-01

The number of products manufactured in a factory in a day are 3500 and the probability that some pieces are defected is 0.55 then the mean of binomial probability distribution is
a) 63.64
b) 1925
c) 3500
d) 6364

Answer & Explanation

ottcomn

ottcomn

Skilled2021-10-02Added 97 answers

Step 1 
Solution: 
Let X represent the random variable that represents the proportion of defective products produced in a factory.
The probability of the number of products manufactured in a factory are defected is p=0.55 
n=3500 Sample size 
The random variable X has binomial distribution with parameters n=3500  and  p=0.55 
XB(n=3500,p=0.55) 
Step 2 
The mean of binomial probability distribution is 
Mean=μ=np 
Mean=μ=3500×0.55 
Mean=μ=1925 
The mean of binomial probability distribution is 1925 
Option B is correct

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