Learn more about our help with Assignments: Math
Search & Filtering
A nationwide survey of college seniors by the
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.
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.
According to a study published by a group of University
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
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
It is known that 60% of mice inoculated with a
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.
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.
A nationwide survey of 17,000 college seniors by
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?
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?
A random committee of size 3 is selected from
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).
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).
A company is interested in evaluating its current
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?
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?
Find the probability of being dealt a bridge hand
of 13 cards containing 5 spades, 2 hearts, 3 diamonds,
and 3 clubs.
of 13 cards containing 5 spades, 2 hearts, 3 diamonds,
and 3 clubs.
It is estimated that 4000 of the 10,000 voting
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?
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?
Among 150 IRS employees in a large city, only
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.
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.
A manufacturing company uses an acceptance
scheme on items from a production line before they
are shipped. The plan is a two-stage one. Boxes of 25
items are readied for shipment, and a sample of 3 items
is tested for defectives. If any defectives are found, the
entire box is sent back for 100% screening. If no defectives
are found, the box is shipped.
(a) What is the probability that a box containing 3
defectives will be shipped?
(b) What is the probability that a box containing only
1 defective will be sent back for screening?
scheme on items from a production line before they
are shipped. The plan is a two-stage one. Boxes of 25
items are readied for shipment, and a sample of 3 items
is tested for defectives. If any defectives are found, the
entire box is sent back for 100% screening. If no defectives
are found, the box is shipped.
(a) What is the probability that a box containing 3
defectives will be shipped?
(b) What is the probability that a box containing only
1 defective will be sent back for screening?
