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and fail with probability equal to 0.4. Assuming

that a plane makes a safe flight if at least one-half of its

engines run, determine whether a 4-engine plane or a 2-

engine plane has the higher probability for a successful

flight.

University of Michigan revealed that almost 70% disapprove

of daily pot smoking, according to a report in

Parade. If 12 seniors are selected at random and asked

their opinion, find the probability that the number who

disapprove of smoking pot daily is

(a) anywhere from 7 to 9;

(b) at most 5;

(c) not less than 8.

of Massachusetts sociologists, approximately

60% of the Valium users in the state of Massachusetts

first took Valium for psychological problems. Find the

probability that among the next 8 users from this state

who are interviewed,

(a) exactly 3 began taking Valium for psychological

problems;

(b) at least 5 began taking Valium for problems that

were not psychological

serum are protected from a certain disease. If 5 mice

are inoculated, find the probability that

(a) none contracts the disease;

(b) fewer than 2 contract the disease;

(c) more than 3 contract the disease.

the University of Michigan revealed that almost 70%

disapprove of daily pot smoking. If 18 of these seniors

are selected at random and asked their opinion, what

is the probability that more than 9 but fewer than 14

disapprove of smoking pot daily?

4 doctors and 2 nurses. Write a formula for the probability

distribution of the random variable X representing

the number of doctors on the committee. Find

P(2 ≤ X ≤ 3).

inspection procedure for shipments of 50 identical

items. The procedure is to take a sample of 5 and

pass the shipment if no more than 2 are found to be

defective. What proportion of shipments with 20% defectives

will be accepted?

of 13 cards containing 5 spades, 2 hearts, 3 diamonds,

and 3 clubs.

residents of a town are against a new sales tax. If 15

eligible voters are selected at random and asked their

opinion, what is the probability that at most 7 favor

the new tax?

30 are women. If 10 of the employees are chosen at

random to provide free tax assistance for the residents

of this city, use the binomial approximation to the hypergeometric

distribution to find the probability that

at least 3 women are selected.