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8:39 < Classwork 4.1 and... 0.02 0.31 0.45 0.1 0.07 0.05 a) Find the probability that at most 3 passengers fail to show up. b) Find the probability that at least 3 passengers fail up show up. ..115GE. c) Find the mean, variance, and standard deviation of x. Round to one decimal place for mean, two decimal places for variance and standard deviation. (use d) Find the non-significant range Of number of passengers who fail to show up. 007%) 5) Given X is the number girls in 4 births. a) Find the probability of getting exactly 3 girls in 4 births. b) Find the probability of getting 3 or more girls out of 4. c) Find the expected number of girls in 4 births. Round to one decimal place. d) Find the variance and standard deviation of x. d) Find the non-significant number girls in 4 births. 6) A lottery game has 0.003 chance of winning. You need to pay $5 to play. The winning price is $5000. Build the pp below and find the expected value of the game round to 2 decimal places. Event 7) In Virginia's Pick 3 game, you can pay $1 to select a three-digit number from 000 to 999. If you select the number that are drawn, you win and collect $500. b) What is the probability of winning? c) If you win, what is your net profit? d) Build a probability distribution table where x = net profit e) What is the expected value Of the game round to nearest cents. Interpret the expected value. 8) There is a 0.0032 chance that a randomly selected 50-year-old female will die in given year (based on statistics from US government). A female pays $226 a year for a $50,000 insurance policy. Build a PD below to describe the net profit of the insurance company. Event live die What is the expected value Of profit Of this policy for the insurance company? Round your answer to the nearest cent. Dashboard Calendar To Do Notifications Inbox