46%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) Upper P left parenthesis 3 right parenthesis = nothingP(3)= (Round to the nearest thousandth asneeded.)

(b) Upper P left parenthesis x greater than or = 4 right parenthesis equals nothingP(x4)= (Round to the nearest thousandth asneeded.)

(c) Upper P left parenthesis x less than or equals 2 right parenthesis equals nothingP(x2)= (Round to the nearest thousandth asneeded.)