1) A warehouse employs 27 workers on firstshift, 16 workers on secondshift, and 14 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly four third-shift workers.

The probability of choosing exactly four third-shift workers is:

(Round to three decimal places asneeded.)

2) 38% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is(a) exactlythree, (b) at leastfour, and(c) at most two. Ifconvenient, use technology to find the probabilities.

a) P(3)=

(Round to the nearest thousandth asneeded.)

(b) P(x4)=

(Round to the nearest thousandth asneeded.)

(c) P(x2)=

(Round to the nearest thousandth asneeded.)

3) The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.

For a sample of n=75, find the probability of a sample mean being greater than 212 if =211 and =3.7.

For a sample of n=75, the probability of a sample mean being greater than 212 if =211 and =3.7 is

.(Round to four decimal places asneeded.)

Would the given sample mean be consideredunusual?

The sample mean

would

would not

be considered unusual because it

lies

does not lie

within the range of a usualevent, namely within

1 standard deviation

2 standard deviations

3 standard deviations

of the mean of the sample m