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Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 5. Find to 4 decimal places the probability that * assumes a value a. between 29 and 35. Probability = b. between 21 and 34. Probability =Let x be a continuous random variable that is normally distributed with a mean of 24 and a standard deviation of 7. Find the probability that * assumes a value between 28.7 and 59.0. Use Table IV in Appendix C to compute the probabilities. Round your answer to four decimal places. The probability =Let x be a continuous random variable that is normally distributed with a mean of 65 and a standard deviation of 15. Find the probability that x assumes a value less than 46. Round your answer to four decimal places. P the absolute tolerance is +/-0.0035Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in less than 191 minutes? Round your answer to four decimal places. P = the absolute tolerance is +/-0.0035 By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor.Let x denote the time taken to run a road race. Suppose x is approximately normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. If one runner is selected at random, what is the probability that this runner will complete this road race in 217 to 239 minutes? Round your answer to four decimal places. P = the absolute tolerance is +/-0.007A construction zone on a highway has a posted speed limit of 35 miles per hour. The speeds of vehicles passing through this construction zone are normally distributed with a mean of 42:02 miles per hour and a standard deviation of 3 miles per hour. Find the percentage of vehicles passing through this construction zone that are exceeding the posted speed limit. Round your answer to two decimal places. The percentage is the absolute tolerance is +/-0.3Find the value of 237) the absolute tolerance is +/-0.0001