Answer: 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:-

![P(x=3)=(4)(0.20)^3(0.80)^{1}\ \ [\because\ ^nC_{n-1}=n]](https://tex.z-dn.net/?f=P%28x%3D3%29%3D%284%29%280.20%29%5E3%280.80%29%5E%7B1%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7Bn-1%7D%3Dn%5D)

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 :

![P(x=0)=(1)(0.80)^{4}\ \ [\because\ ^nC_{0}=1]](https://tex.z-dn.net/?f=P%28x%3D0%29%3D%281%29%280.80%29%5E%7B4%7D%5C%20%5C%20%5B%5Cbecause%5C%20%5EnC_%7B0%7D%3D1%5D)

Hence, the probability that none of the next 4 customers will make a purchase= 0.4096
question:
x=2 ,<em>y</em>=12 and x=4,y=3,find n and k if y is inversely proportional to x and k is a constant
answer:
k=12 x=3 n=4
explain:
that the answer because the question said find the k and x and n so I find them
Answer:
x= 8 inches
Step-by-step explanation:
you left out the other lengths but since i had this same question once, the other lengths are 12 and 2-
dimensions of the box:
12 in x 2 in x ?
=272 square inches
and we know that there are 6 faces
area= 2 *(12 * 2) + 2 *(2*x) + 2 *(12*x)
area = 272 sq. in. = 48 + 4x + 24x
272 = 48 + 28x
272 - 48 = 28x
224 = 28x
x = 8 inches
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!