You are a salesperson and your provability of selling items is 2 out of 20. (probability of success). if you have 4 potential customers, what is the probability that you are going to sell to exact 2 of these customers

P(X = 2) = 0.0486

Step-by-step explanation:

We are told that probability of selling items is 2 out of 20.

Thus, probability of success is;

p = 2/20 = 0.1

you have 4 potential customers and you want to find the probability that you are going to sell to exact 2 of these customers.

This is a binomial probability distribution problem.

Thus;

n = 4 and x = 2.

So;

P(X = 2) = C(4, 2) × 0.1^(2) × (1 - 0.1)^(4 - 2)

P(X = 2) = 6 × 0.01 × 0.81

P(X = 2) = 0.0486

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.