#34. A production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift. A quality control consultant is to select 6 of these workers for in depth interviews. Suppose the selection is made in such a way that any particular group of 6 workers has the same chance of being selected as does any other group (drawing 6 slips without replacement from among 45).

a. How many selections result in all 6 workers coming from the day shift? What is the probability that all 6 selected workers will be from the day shift?
b. What is the probability that all 6 selected workers will be from the same shift?
c. What is the probability that at least two different shifts will be represented among the selected workers?
d. What is the probability that at least one of the shifts will be unrepresented in the sample of workers?

Find the indicated probabilities.
a. P (z > -0.89)
b. P (0.45 < z < 2.15)
Write the binomialprobability as a normal probability using the continuity correction.
BinomialProbability Normal Probability
c. P ( x ≤ 56) P ( x < ? )
d. P ( x = 69 ) P ( ? < x < ?

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

Answer the following:
(A) Find the binomialprobability P(x = 6), where n = 15 and p = 0.60.
(B) Set up, without solving, the binomialprobability P(x is at most 6) using probability notation.
(C) How would you find the normal approximation to the binomialprobability P(x = 6) in part A? Please show how you would calculate

Approximately 25% of the population belongs to a health maintenance organization (HMO). Assume that for a randomly selected group of 20 adults, the number belonging to an HMO has a binomialdistribution.
The probability of finding exactly 5 in the 20 who belong to an HMO is....
The probability of finding at least one in th

It was reported that approximately 45% of all university professors are extroverted. Suppose you have classes with 6 different professors.
a) What is the probability that all 6 are extroverts?
b) What is the probability that none of your professors are extroverts?
c) What is the probability that at least 2 of your prof

It is claimed that 70% of the residents in a large town approve of the current zoning law. Four residents are to be randomly selected. Find the probability that:
a. None of the four approves.
b. Exactly two approve.
c. At least one approve

A foreman at a large plant estimates that parts are defective about 1% of the time. Use a binomialdistribution formula to determine the mean number of defective parts if the plant produces 25,000 parts in a week.

Solve for the probabilities of the following binomial distribution problems by using the binomial formula.
b. If n = 6 and p = .50, what is the probability that x >= 1?
c. If n = 9 and p = .85, what is the probability that x > 7?
d. If n = 14 and p = .70, what is the probability that x<=3?
Use Table A.2, Appendix A, to fin

See attached file.
The probability of obtaining a home equity loan from United Bank is 0.40.
A random sample of 10 applications was selected. Find the probability that at least five will get a loan.
Use the attached binomialprobabilitydistribution table 3A

Find a simple algebraic relationship between the negative binomialprobability
P(x) = ((x-1)!/(n-1)!(x-n))*(P^n)(1-p)^x-n for x = n, n + 1, .. and the binomialprobability for the probability of n successes in x trials.