Labtech is a company that manufactures microscopes and other laboratory instruments . on 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 one of the first 50 microscopes is defective .

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

Where

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

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !