In the game of blackjack as played in casinos in Las Vegas, Atlantic City, Niagara Falls, as well as many other cities, the dealer has the advantage. Most players do not play very well. As a result, the probability that the average player wins a hand is about 0.37. Find the probability that an average player wins

A. twice in 5 hands.

Probability =

B. 10 or more times in 26 hands.

Probability =

There are several books that teach blackjack players the "basic strategy" which increases the probability of winning any hand to 0.45. Assuming that the player plays the basic strategy, find the probability that he or she wins

C. twice in 5 hands.

Probability =

D. 10 or more times in 26 hands.

Probability =

In the United States, voters who are neither Democrat nor Republican are called Independent. It is believed that 8% of voters are Independent. A survey asked 32 people to identify themselves as Democrat, Republican, or Independent.

A. What is the probability that none of the people are Independent?

Probability =

B. What is the probability that fewer than 6 are Independent?

Probability =

C. What is the probability that more than 3 people are Independent?

Probability =

In the game of roulette, a steel ball is rolled onto a wheel that contains 18 red, 18 black, and 2 green slots. If the ball is rolled 35 times, find the probability of the following events.

A. The ball falls into the green slots 6 or more times.

Probability =

B. The ball does not fall into any green slots.

Probability =

C. The ball falls into black slots 10 or more times.

Probability =

D. The ball falls into red slots 9 or fewer times.

Probability =

(1 point) A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped24times, and the man is asked to predict the outcome in advance. He gets20out of24correct. What is the probability that he would have done at least this well if he had no ESP?

Probability =

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best reate with 80 % of its flights arriving on time. A test is conducted by randomly selecting1818Southwest flights and observing whether they arrive on time.

(a)Find the probability that exactly55flights arrive on time.

(b)Would it be unusual for Southwest to have22flights arrive late? (Enter YES or NO)

(Consider something to be 'unusual' if it would happen less that 5% of the time.)

It is known that a certain basketball player will successfully make a free throw 87.39% of the time. Suppose that the basketball player attempts to make 10 free throws. What is the probability that the basketball player will make at least 8 free throws?

LetXbe the random variable which denotes the number of free throws that are made by the basketball player. Find the expected value and standard deviation of the random variable.

= =

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