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AMONG THE CONTESTANTS IN A COMPETITION ARE 43 WOMEN AND 21 MEN. IF 5 WINNERS ARE RANDOMLY SELECTED, WHAT IS THE PROBABILITY THAT THEY ARE ALL MEN?

Among the contestants in a competition are 43 women and 21 men. If 5winners are randomly selected, what is the probability that they are all men?A. 0.00267B. 0.02114C. 0.00367D. 0.136912.(4 points) The standard deviation for the binomial distribution with n=50 and p=0.6 is:A. 7.58B. 3.46C. 6.73D. 3.103. (4 points) The incomes of trainees at a local mill are normally distributed with a mean of$1100 and a standard deviation of $120. What percentage of trainees earn less than $900a month?A. 47.5%B. 9.18%C. 40.82%D. 4.75%4.(4 points) For a standard normal distribution, find the percentage of data that arebetween 3 standard deviations below the mean and 2 standard deviation above the mean.A. 97.59%B. 84.00%C. 65.33%D. 15.74%SHORT ANSWER. Write the word or phrase that best completes each statement or answers thequestion. Express percents as decimals. Round dollar amounts to the nearest cent.9. (12 points) A soda company want to stimulate sales in this economic climate by givingcustomers a chance to win a small prize for every bottle of soda they buy. There is a 20% chancethat a customer will find a picture of a dancing banana ( ) at the bottom of the cap uponopening up a bottle of soda. The customer can then redeem that bottle cap with this picture for asmall prize. Now, if I buy a 6-pack of soda, what is the probability that I will win something, i.e.,at least win a single small prize?

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