Question: The probability that a 7-ounce skein of a discount worsted weight knitting yarn contains a knot is 0.25. Goneril buys ten skeins to crochet an afghan.
a. Find the probability that (i) none of the ten skeins will contain a knot; (ii) at most one will.
b. Find the expected number of skeins that contain knots.
c. Find the most likely number of skeins that contain knots.