M&M plain candies come in various colors. According to the M&M/Mars Department of Consumer Affairs, the distribution of colors for plain M&M candies is as follows. Color Purple Yellow Red Orange Green Blue Brown
Percentage 17% 18% 17% 7% 6% 10% 25%

Suppose you have a large bag of plain M&M candies and you choose one candy at random.

a. Find P(green candy or blue candy).
b. Are these outcomes mutually exclusive? Why?

Yes, they are mutually exclusive

Step-by-step explanation:

Given

Refer to the table in the question

Solving (a): P(green candy or blue candy)

This is calculated as:

From the question:

So:

Convert to decimal

Solving (b): Are they mutually exclusive?

Multiple events A and B are mutually exclusive if;

In (a) above:

and this is so every other possible colour of candy

e.g.

Hence:

The events are mutually exclusive

1,645,493,059.35

step-by-step explanation:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50