1. Solve the following problems by using the binomial formula.

(round 4 decimal places)

a.Ifn= 4 andp=0.25, findP(x= 3).

b.Ifn= 7 andp=0.90, findP(x= 4).

c.Ifn= 10 andp=0.65, findP(x 7).

d.Ifn= 12 andp=0.50, findP(5 x 7).

2. Solve for the mean and standard deviation of the following binomial distributions. (round 2 decimal places) a.n= 30 andp= 0.50 b.n= 70 andp= 0.35 c.n= 110 andp= 0.50

3. What is the first big change that American drivers made due to higher gas prices? According to an Access America survey, 40% said that it was cutting recreational driving. However, 28% said that it was consolidating or reducing errands. If these figures are true for all American drivers, and if 20 such drivers are randomly sampled and asked what is the first big change they made due to higher gas prices,

(round 7 decimal places) a.What is the probability that exactly 8 said that it was consolidating or reducing errands? b.What is the probability that none of them said that it was cutting recreational driving? c.What is the probability that more than 7 said that it was cutting recreational driving?

4.According to the United National Environmental Program and World Health Organization, in Mumbai, India, air pollution standards for particulate matter are exceeded an average of 5.6 days in every three-week period. Assume that the distribution of number of days exceeding the standards per three-week period is Poisson distributed.

(round 4 decimal places)

a.What is the probability that the standard is not exceeded on any day during a three-week period?

b.What is the probability that the standard is exceeded exactly six days of a three-week period?

c.What is the probability that the standard is exceeded 15 or more days during a three-week period?

Thanks for the help I am really bad at stats!