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Answer:
The value is
Step-by-step explanation:
From the question we are told that
The probability of the device failing during the warranty period is
The sample size is
The random variable considered is x = 15
Generally this is distribution is binomial given the fact that there is only two out comes hence
X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e
Now the mean is mathematically evaluated as
=>
=>
The standard deviation is mathematically represented as
=>
=>
Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution
So
Now applying Continuity Correction we have
Generally
From the z-table
Thus
Solve for :
Now if , we have
and
On the other hand, if , then
and