Question

LabTech is a company that manufactures microscopes and other laboratory instruments. On (Ipoint) occasion, one of the microscopes is defective when it comes off of the production line. The probability that a microscope is defective is 0.17% Find the probability that the first defective microscope comes after the first 100 microscopes off of the production line.

a. 0.156
b. 0.181
c. 0.742
d. 0.844

Answer 1

probability of 1st defective = 0.844

correct option is d. 0.844

Explanation:

given data

probability defective = 0.17%

undefective microscopes = 100

to find out

the probability that the first defective microscope

solution

we know defective probability P = 0.17% = 0.0017

so non defective probability (1-P) = 1 - 0.0017

non defective probability (1-P) = 0.9983

and

1st defective come after 100 it mean 1st 100 are non defective so

probability of 1st defective =
`(1-P)^(100)`

probability of 1st defective =
`(0.9983)^(100)`

probability of 1st defective = 0.844

so correct option is d. 0.844