Statistics and Probability Answers

A hundred squash balls are tested by dropping from a height of 100 inches and measuring the height of the bounce. A ball is “fast” if it rises above 32 inches. The average height of bounce was 30 inches and the standard deviation was ¾ inches. What is the chance of getting a “fast” standard ball?

a examination consists of 8 questions in each of which one of 5 alternative is the correct one. on the assumption that a candidate who has done no preparatory work chooses for each question any one of the five alternative with equal probability , the probability that he gets more than one correct ans is equal to?

When a missile is fired from a ship, the probability that it is intercepted is 1/3. The probability that the missile hits the target, given that it is not intercepted is 3/4. If three missiles are fired independently from the ship, the probability that all three hits the target, is what?

The probability density function for the volume, X millilitres, of tonic water in small bottles is shown by the following graph.

(a) Show that the value of the constant c, as used on the vertical axis, is 2/47.
(4)
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(b) State the probability that a bottle contains exactly 250 ml of tonic water.
(1)
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(c) Determine the probability that a bottle contains between 249 ml and 252 ml of tonic water.
(3)
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2. Explain to a friend who knows no statistics, what 95% confidence means.

Two dice are thrown. What is the conditional probability of a total score of at least 8, given
that one of the dice has thrown 4?

the card game of solitaire was played 500 times so that the probability of winning could be estimated.
Among the 500 trials, the game was won 77 times. Based on these results, find the odds against winning. Estimate the probability of winning of the next game?

11. The Burger Bin fast-food restaurant sells a mean of 24 burgers an hour and its burger sales are
normally distributed. If hourly sales fall between 24 and 42 burgers 49.85% of the time, the standard
deviation is _______ burgers.
A. 18
B. 3
C. 6
D. 9

7. Tornadoes for January in Kansas average 3.2 per month. What is the probability that, next January,
Kansas will experience exactly two tornadoes?
A. 0.2087
B. 0.1304
C. 0.4076
D. 0.2226

5. Each football game begins with a coin toss in the presence of the captains from the two opposing teams.
(The winner of the toss has the choice of goals or of kicking or receiving the first kickoff.) A particular
football team is scheduled to play 10 games this season. Let x = the number of coin tosses that the team
captain wins during the season. Using the appropriate table in your textbook, solve for P(4 ≤ x ≤ 8).
A. 0.817
B. 0.171
C. 0.377
D. 0.246