a.If 37% of high school students said that they exerciseregularly, find the prob

Question

a.If 37% of high school students said that they exerciseregularly, find the probability that 5 randomly selected highschool students will say that they exercise regularly. Wouldyou consider this event likely or unlikely to occur? Explain your answer. b. Cards If 2 cards are selected from a standard deck of 52cards without replacement find these probabilities:    -Both are spades    - Both are the same suit    - Both are kings c. Murder Cases and weapons The U.S. department ofjustice reported that 6% of all U.S. murders are committed withouta weapon. If 3 murder cases are selected at random, find theprobability that a weapon was not used in any one of them. a.If 37% of high school students said that they exerciseregularly, find the probability that 5 randomly selected highschool students will say that they exercise regularly. Wouldyou consider this event likely or unlikely to occur? Explain your answer. b. Cards If 2 cards are selected from a standard deck of 52cards without replacement find these probabilities:    -Both are spades    - Both are the same suit    - Both are kings c. Murder Cases and weapons The U.S. department ofjustice reported that 6% of all U.S. murders are committed withouta weapon. If 3 murder cases are selected at random, find theprobability that a weapon was not used in any one of them.

Explanation / Answer

This test is Statistically significant in stating it is highlyunlikely because it is below the typically .05 level b) Both of spades and suit has the same answer since spades isa suit. The first probability is 13/52 ,the second one is 12/51since you have one less from the suit and the deck giving theprobability of 5/68. For the kings part of the question , there areonly 4 kings in a deck so 4/52 and the subtract out the first cardfor the second part being 3/51. Then multiply these independentevents together to get 1/221. c) similar to a (3/50)^3. 3/50 is 6/100 reduced and this eventis independent for each person giving the third power . Theprobability is .000216

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