Answer :
Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is
[tex]f(k,n,p)=\binom{n}{k}p^kq^{n-k}[/tex]
Where [tex]q = 1-p[/tex]
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula
[tex]f(1,50,0.0017)=\binom{50}{1}0.0017^10.9983^{49}=0,0782[/tex]
Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50