Suppose that 70% of the customers of a fast food chain order french fries how many of the next twenty customers who place an order expected to order french fries?

14 of the next twenty customers who place an order expected to order french fries

Step-by-step explanation:

For each customers, there are only two possible outcomes. Either they order french fries, or they do not order french fries. The probability of a customer ordering french fries is independent from other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

70% of the customers of a fast food chain order french fries

This means that

How many of the next twenty customers who place an order expected to order french fries?

This is E(X) when n = 20. So

14 of the next twenty customers who place an order expected to order french fries

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.