You are the manager of the copy shop. for your big copy machine, the probability a copy of a document will have a defect is 0.1. ("a defect" means one or more defects.) what is the probability that the 7th copy will be the first one with a defect? x = number of the copy that is the first one with a defect a. x ~ binomial b. x ~ negative binomial c. x ~ hypergeometric d. x ~ poisson

31.89%

Step-by-step explanation:

This situation can be modeled with the Negative Binomial  Distribution, where the probability of having r “failures” before k “successes” occur is given by

being p the probability that a “success” occurs.

is the number of combinations of m elements taken n at a time.

In the specific case of this problem we have “success” is having a copy with a defect, with probability 0.1, k=1 and r=6 (6 “failures” before 1 “success”).

Computing the formula either by hand or with a computer, we get

it has changed from the width and the height.

step-by-step explanation:

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour