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1.a person selects a card from a deck .it is a red card ,he wns 1$.if it is black face card between or including 2 and 10,he wins $5.if it is black face card,he wins $10 and if it is black ace,he wins $100.find the expectation of the game is to be fair?

2.if 30% of all commuters ride the train to work,find the probability that if 10 workers are selected,5 will ride the train

3.if 10 % of the people who are given a certain drug experience dizziness,find these probabilities for a sample of 15 people who take the drug

4.a club has 225 members.if there is a 70% attendance rate per meeting ,find the mean,variance,and standard deviation of the number of people who pass will be present at each meeting

5.if 4% of the populationcarries a certain genetic trait,find the probability that in a sampleof 100 people,there are exactly 8 people who have the trait .assume the distibutionis approximately poisson

6.a board of directors consist of seven men and five women.if a slate of three officers is selected find these probabilities

7.three out of four american adults aunder age 35 have eaten pizza for breakfat.if random sample of 20 adults under age 35 is selected,find the probability that exactly 16 have eaten pizza for breakfast out of americans over age 55 has eaten pizza for breakfast.if a sample of 10 americans over age 55 is selcted at random,find the probability that at most 3 have eaten pizza for breakfast

9.of the 50 automobiles in a used-car lot,10 sre white .if five automobiles are selected to be sold at an auction,find the probability that exactly two will be white

10.(opt)if five cards are drawn from a deck ,find the probability that two will be hearts

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