A travel softball team is trying to raise funds to go to the Colorado Sparkler, a major summer national tournament. The team is going to sell 3000 raffle tickets for $9 each. The prizes and their probabilities are summarized in the following table. What is the expected value for this for the prize amount for one entry? Round your answer to the nearest hundredth (since we're talking about dollars and cents). You might get a negative answer, if so, include the sign. Don't worry about the dollar sign. 7 Prize Amount, x $3,831 $1,256 $463 $218 -$9 Type your answer... Probability of Winning, P(x) 1/3000 1/3000 2/3000 2/3000 2994/3000 1 point Suppose that 17% of people are left handed. If 16 people are selected at random, what is the probability that exactly 5 of them are left handed? Don't forget to identify the values of n, x, p, and q before computing. If your rate is given as a percent, remember to write it as a decimal first. Use the binomial probability formula and write your answer as a decimal rounded to four places. Type your answer.... Assume that a procedure yields a binomial distribution with a trial repeated n times. n=20,x=5.p=1/10 Don't forget to identify the values of n, x, p, and q before computing. If your rate is given as a percent or fraction, remember to write it as a decimal first. Use the binomial probability formula and write your answer as a decimal rounded to four places. Type your answer... 9 1 point A crewmate on an airship completes tasks every morning in March. The number of tasks completed has a Poisson distribution with a mean of -4.2. Find the probability that on a randomly selected morning, the number of tasks completed is x = 13. Use the Poisson Distribution to find the indicated probability. Write your answer as a decimal rounded to four places. Type your answer.... 10 1 point If the random variable x has a Poisson Distribution with mean -4.10, find the probability that x = 14. Use the Poisson Distribution to find the indicated probability. Write your answer as a decimal rounded to four places. Type your answer.... -DS