1) Thirteen percent of people are left handed. You randomly select 8 persons and ask if they are left-handed. Find the probability that (a) exactly 6 persons are left handed, (b0 at least 6 persons are left handed, (c) less than 6 are left handed.

a) P(exactly 6 of 8 are left handed) Round to four decimal places.

b) P(at least 6 of 8 are left handed) Round to four decimal places.

c) P(less than 6 of 8 are left handed) Round to four decimal places.
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2) Suppose that twenty eight percent of women consider themselves hockey fans. You randomly select 9 of the population and ask each if they are hockey fans. Construct a binomial distribution and use the distribution to find the mean, variance, and standard deviation of the binomial.
Mean= (Round to the nearest hundredth.)
Variance= (round to four decimal places)
St/Dv= Round to four decimal places.

Solution Summary

The solution uses binomial probability to determine a probability for number of people that are left handed.

1. Suppose a single die is rolled once. You win $5 if a 1 or a 3 comes up, win $12 if a 5 comes up and lose $10 if a 2, 4, or 6 come up.
a) Complete the table that gives the expected values of each event occurring.
Event x (random variable) P(x) xP(x)
Rolling a 1 +5
Rolling a 2 -10
Rolling a 3 +5

A box of 9 gloves contains two left handed gloves and seven right handed gloves.
a: If two gloves are randomly selected from the box, without replacement, what is the probability that both gloves will be right handed?
b: If two gloves are randomly selected from the box without replacement, what is the probability that ther

11. Find the area under the normal curve to the right of z - = -1.66
a. 0.9515
b. 0.9525
c. 0.0485
d. 0.0475
12. Find the area under the standard normal curve between z= 0 and z=3
a. 0.0010
b. 0.4987
c. 0.4641
d. 0.9987
13. Find the area under the standard normal curve between z =1 and z = 2.
a. 0.5398
b. 0.

Question 6
A manager must select 2 people from a list of 13 specialized employees to form a special group. In how many ways can the manager choose to select 2 people? [Hint: Fundamental counting principle]
Question 7
57% of families say that their children have an influence on their vacation destinations. Consider a random

Answer the following:
(A) Find the binomial probability P(x = 6), where n = 15 and p = 0.60.
(B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation.

Assume that 12 percent of adults in this country have filed for bankruptcy at some point in their life. If an independent sample of 20 adults is selected find the probability that fewer than 5 will have filed for bankruptcy at some point in their life.

38. Suppose x is a binomial random variable with n = 3 and p = 3
a. calculate the value of p(x), x = 0,1,2,3 using the formula for a binomial probability distribution
b. using your answers to part a, give the probability distribution for x in tabular form
42. The binomial probability distribution is a family of proba

h-p is said to be the leading seller of pc's in the U.S WITH 27% share of the pc market. if a researcher selects 130 recent pc purchases, use the normal approximation to the binomial to find the probability that more than 39 bought a h-p computer