## Math 533 If Five Taxpayers With Incomes Under \$100,000

a) P(x=3) for n=10, P=0. 6 b) P(x_>3) for n=10, p=0. 6c) If five taxpayers with incomes under \$100,000 are randomly selected, what is the probability that exactly one will be audited? That more than one will be audited?1) P(x=1) (Round to four decimal places as needed. )2) p(x>1) (Round to four decimal places as needed. )d) Repeat part b assuming that five taxpayers with incomes of \$100,000 or more are randomly selected. 1) P(x=1) (Round to four decimal places as needed. )2) p(x>1) (Round to four decimal places as needed. )e) If two taxpayers with incomes under \$100,000 are randomly selected and two with incomes more than \$100,000 are randomly selected, what is the probability that none of these taxpayers will be audited?P(none of the taxpayers will be audited)= . . . . . . . . . . . . . . . . . . . . . (Round to four decimal places as needed. )f) What assumptions did you have to make in order to answer thesequestions?A. We must assume that the variables are binomial random variables. We must assume that the trials are identical and dependent. B. We must assume that the variables are binomial random variables. We must assume that the trials areidentical, the probability of success varies from trial totrial, and that the trials are dependent. C. We must assume that the variables are binomial random variables. We must assume that the trials areidentical, the probability of success is the same from trial totrial, and that the trials are independent. D. We must assume that the variables are random variables. We must assume that the trials areidentical, and the probability of success varies from trial to trial.

## MATH 533 If five taxpayers with incomes under \$100,000

Question
a) P(x=3) for n=10, P=0.6

b) P(x_>3) for n=10, p=0.6

c) If five taxpayers with incomes under \$100,000 are randomly selected, what is the probability that exactly one will be audited? That more than one will be audited?

1) P(x=1) (Round to four decimal places as needed.)

2) p(x>1) (Round to four decimal places as needed.)

d) Repeat part b assuming that five taxpayers with incomes of \$100,000 or more are randomly selected.

1) P(x=1) (Round to four decimal places as needed.)

2) p(x>1) (Round to four decimal places as needed.)

e) If two taxpayers with incomes under \$100,000 are randomly selected and two with incomes more than \$100,000 are randomly selected, what is the probability that none of these taxpayers will be audited?
P(none of the taxpayers will be audited)= ………………… (Round to four decimal places as needed.)

f) What assumptions did you have to make in order to answer thesequestions?
A. We must assume that the variables are binomial random variables. We must assume that the trials are identical and dependent.B. We must assume that the variables are binomial random variables. We must assume that the trials areidentical, the probability of success varies from trial totrial, and that the trials are dependent.C. We must assume that the variables are binomial random variables. We must assume that the trials areidentical, the probability of success is the same from trial totrial, and that the trials are independent.D. We must assume that the variables are random variables. We must assume that the trials areidentical, and the probability of success varies from trial to trial.