A baseball pitcher threw 3948 pitches during part of a recent season. Of these, 1539 were thrown with no strikes on the batter, 809 were thrown with one strike, and 1600 were thrown with two strikes. (a) What is the probability that a baseball pitch is thrown with no strikes? (b) What is the probability that a baseball pitch is thrown with fewer than two strikes?

A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)

A survey of 800 randomly selected high school students determined that 498 play organized sports. What is the probability that a randomly selected high school students plays organized sports?

An airline sell 200 tickets for a certain flight on an airplane that has only 198 seats because, on the average, 1% of purchasers of airline tickets do not appear for the departure of their flight. Determine the probability that everyone who appears for the departure of this flight will have seat.

A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)

Overall, Steve Dalkowski throws a strike with 17% of his pitches (that is, the probability that he throws a strike with any given pitch is .17). (a) In one game, Dalkowski throws 240 pitches. What is the probability that he throws exactly 40 strikes? (b) In one week, Dalkowski throws 400 pitches. What is the probability that he throws 80 or more strikes? Every day for eternity Dalkowski throws 100 pitches, and records the number of strikes. (c) Find the mean µ, and the standard deviation o, of the numbers (of strikes thrown on different days) that Dalkowski records.

A quiz has five "Yes-No" questions. A student decided to randomly guess the answer to each question. (a) What is the probability that the students get exactly three questions correct? (b) Each question in the quiz is worth one point and the passing score of the quiz is three. What is the probability that the student passes the quiz?

You are pulling from a bag containing 2 blue marbles, 3 black marbles, 2 green marbles, and 1 yellow marbles. What is the probability as a decimal of pulling a blue marble? Round your answer to the nearest hundredth.