Answer:
The probability that there will be repair exactly 3 toaster is 0.0574.
Step-by-step explanation:
Binomial Distribution:
A discrete random variable X having the set {0,1,2,3......,n} as the spectrum, is said have a binomial distribution with parameter n= number of trials and p=probability of number of success on an individual trial, if the p.m.f (probability mass function) of X given by,
[tex]P(X=x)=C(n,x)p^x(1-p)^{n-x}[/tex] x=0,1,2,......,n
=0 elsewhere
where 0<p<1 and n is a positive integer.
Total number of toaster in cartons(n) = 10.
Probability of number of success on an individual trial p= 10% = 0.10
[tex]\therefore P(X=3)= C(10,3)(0.10)^3(1-0.10)^{10-3}[/tex]
[tex]=\frac{10!}{3!(10-3)!}(0.10)^3)(0.90)^7[/tex]
=0.0574
The probability that there will be repair exactly 3 toaster is 0.0574.
