5.2.4

Suppose a random variable, x, arises from a binomial experiment.If n = 6, and p = 0.30, find the following probabilities using technology.

a.) p(x=1)

B.) p(x=5)

c.)p(x=3)

d.) p(x<__3)

e.) p(x>_5)

f.) p(x<_4)

5.2.10

The proportion of brown M&M's in a milk chocolate packet is approximately 14% (Madison, 2013).Suppose a package of M&M's typically contains 52 M&M's.

a.)State the random variable.

b.)Argue that this is a binomial experiment

Find the probability that

c.)Six M&M's are brown.

d.)Twenty-five M&M's are brown.

e.)All of the M&M's are brown.

f.)Would it be unusual for a package to have only brown M&M's?If this were to happen, what would you think is the reason?

5.3.4

Approximately 10% of all people are left-handed.Consider a grouping of fifteen people.

a.)State the random variable.

b.)Write the probability distribution.

c.)Draw a histogram.

d.)Describe the shape of the histogram.

e.)Find the mean.

f.)Find the variance.

g.)Find the standard deviation.