Question

The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 66 M&M's.

a) State the random variable.

c) Explain why this is a binomial experiment. Check all that apply.

1). p = 14% remains constant from one randomly selected M&M to another

2). There are a fixed number of M&Ms,

3). 66 There are more than two outcomes for each M&M

4). There are only two outcomes for each M&M

5). Whether or not one randomly selected M&M is brown will affect whether or not another randomly selected M&M is brown

7). Whether or not one randomly selected M&M is brown will not affect whether or not another randomly selected M&M is brown

8). There is not a fixed number of M&Ms

Find the probability, to 4 decimal places:

It is possible when rounded that a probability is 0.0000

d) exactly none are brown.

e) exactly 64 are brown.

f) at least 56 are brown.

g) at most 61 are brown.

h) all of them are brown.

i) Is 66 an unusually high number of M&Ms that are brown in a sample of 66 M&Ms?

Answer 1

i) 66 is an unusually high number of M&Ms that are brown in a sample of M&Ms since the probability that all of the are brown is very small.