)the manager of a local gap store estimates that on average the probability of a customer entering the store and will purchase something is 20% (0.20). assume a binomial distribution. 1. what is the probability that 3 of the next 4 customers will make a purchase? 2. what is the probability that none of the next 4 customers will make a purchase

1. 0.0256

2. 0.4096

Step-by-step explanation:

Binomial probability formula , to find the probability of getting x successes:

, where n= Total number of trials

p= Probability of getting success in each trial.

Let x be the number of customers will make purchase.

As per given , we have

p= 0.20

n= 4

1. The probability that 3 of the next 4 customers will make a purchase will be:-

Hence, the probability that 3 of the next 4 customers will make a purchase = 0.0256

2. The probability that none of the next 4 customers will make a purchase will be :

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.