A manufacturing company has two retail outlets. It is known that 40% of all potentialcustomers buy products from outlet 1 alone, 35% buy from outlet 2 alone, and 10% buy fromboth 1 and 2. LetAdenote the event that a potential customer, randomly chosen, buys fromoutlet 1, and letBdenote the event that the customer buys from outlet 2. Suppose a potentialcustomer is chosen at random. For each of the following events, represent the eventsymbolically and then find its probability. Required:
a. The customer buys from outlet 1.
b. The customer does not buy from outlet 2.
c. The customer does not buy from outlet 1 or does not buy from outlet 2.
d. The customer does not buy from outlet 1 and does not buy from outlet 2.

Step-by-step explanation:

Given

--- From outlet 1 alone

--- From outlet 2 alone

 --- From both

Solving (a): Buys from outlet 1;

This is represented as: P(A)  and the solution is:

Solving (b): Does not buy from outlet 2;

This is represented as: P(B') :

First, calculate the probability that the customer buys from 2

Using the complement rule, we have:

Solving (c): Does not buy from 1 or does not buy from 2

This is represented as:

And the solution is:

Using complement rule:

The equation becomes:

Solving (d): Does not buy from 1 or does not buy from 2

This is represented as:

And it is calculated as:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

answer: the answer is e

step-by-step explanation: