Bernoulli and Statistics

You roll a die 4 times and need to get at least three 3's to win the game.  Is this Bernoulli trial?

• Yes
• No

We deal 6 cards from a deck and get 3 spades.  How likely is this?  Is this a Bernoulli trial?

• Yes
• No

A basketball player made 66% of his shots during the season.  Assuming the shots are independent, find the probability that in tonight's game he misses for the first time on his 6th attempt?

• 0.0827
• 0.34
• 0.0426
• .0.0281

A basketball player made 70% of his shots during the season.  Assuming the shots are independent, find the probability that in tonight's game he makes his first basket on one of his first 6 shots?

• 0.00073
• 0.99927
• 0.11765
• 0.00170

A basketball player has made 67% of his foul shots during the season.  Assuming the shots are independent, find the expected number of shots until he misses.

• 1.49
• 3.03
• 0.33
• 0.67

A tennis player makes a successful first serve 48% of the time.  If she serves 8 times, what is the probability that she gets exactly three first serves in?  Assume the serves are independent.

• 0.2355
• 0.1275
• 0.7645
• 0.0042

A test consists of 10 true/false questions.  If a student guesses on each question, what is the probability that the student will answer at least 9 questions correctly?

• 0.011
• 0.999
• 0.001
• 0.9

Suppose a computer chip manufacturer rejects 5% of the chips produced because they fail presale testing.  If we select 50 chips at random, how many chips do you expect to fail the testing?

• 2
• 5
• 2.5
• 0.05

On a multiple choice test with 13 questions, each question has four possible answers, one of which is correct.  For students who guess at all answers, find the standard deviation of the number of correct answers.

• 1.53
• 1.47
• 1.5
• 1.561

A tennis player makes a successful first serve 65% of the time. If she serves 90 times in a match, what's the probability that she makes no more than 50 first serves?  Assume that each serve is independent of the others.  Use the normal model to solve this problem.

• .9719
• .0301
• .9699
• .3371