Supermarkets: Free Samples Do you take the free samples offered in supermar- kets? About 60% of all customers will take free samples. Furthermore, of those
who take the free samples, about 37% will buy what they have sampled. See
reference in Problem 6.) Suppose you set up a counter in a supermarket offering
free samples of a new product. The day you were offering free samples, 317 cus-
comers passed by your counter
(a) What is the probability that more than 180 will take your free sample?
b) What is the probability that fewer than 200 will take your free sample:
What is the probability that a customer will take a free sample and buy the
product? Hint: Use the multiplication rule for dependent events. Notice that
we are given the conditional probability P buy sample) = 0.37, while
P sample) = 0.60
d) What is the probability that between 60 and 80 customers will take the free
sample and buy the product? Hint: Use the probability of success calculated
in part c.

u dumb boi

step-by-step explanation:

d

gimmee one of those gold crowns!

~coco

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.