To compute P(X > 5) for a binomial distribution, what would be an equivalent notation? a. P(X < 5) O b. 1- P(X < 4) О с. Р(Х < 4)
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- In the mid-afternoon a restaurant receives orders such that the time between them follows an exponential distribution. The mean time between orders is 11 minutes. a) What is the probability that the restaurant receives no orders in a 30-minute interval? b) What is the probability that the restaurant receives at least one other order within 1 min of the first one?To compute P(X <7) for a binomial distribution, what would be an equivalent notation? O a. 1- P(X < 6) O b. 1- P(X < 7) O c. P(X s 6) O d. P(X < 7)Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 147 minutes with a standard deviation of 11 minutes. Consider 49 of the races. Let x̅ = the average of the 49 races. A) Give the distribution x̅ (round your standard deviation to two decimal places.) x̅~______(______,______) B) Find the probability that the average of the sample will be between 144 and 148 minutes in these 49 marathons. (Round your answer to four decimal places.) C) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) ______ min D) Find the median of the average running times. _____min
- 13. A continuous random variable is uniformly distributed between 200 and 220. a. What is the probability a randomly selected value will be greater than 215? b. What is the probability a randomly selected value will be less than 205? c. What is the probability a randomly selected value will be between 205 and 215? a. P(x > 215) = (Simplify your answer.) b. P(x< 205) = (Simplify your answer.) c. P(205A random variable follows a binomial distribution with the probability of success for one trial at 0.745 and 18 randomly selected trials. Round to the fourth. a) Find the mean of the distribution. b) Find the standard deviation of the distribution c) Find the probability of exactly 13 successes.Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded egion of the graph. Assume the variable x is normally distributed. Pregnancy Length in a Population of New Mothers H= 269 o = 10 283Suppose that you enter a fantasy baseball league. Suppose that the 2021 team budget, say , is randomly drawn from a uniform distribution on the interval , where the unit is U.S. million dollars. In addition, suppose that after the value has been observed , the 2022 team budget, say , is randomly drawn from a uniform distribution on the interval . In other words, the 2022 budget is at most as large as the 2021 budget. a) For any given value of x(50<x<350), obtain E[Y|X=x] b) In view of part (a), obtain E[Y|X] c) Atlanta Braves won the 2021 World Series title. Their estimated 2022 payroll is about $130 million. Would your 2022 fantasy baseball budget be on average larger than their 2022 payroll? Explain briefly.Assume a member is selected at random from the population represented by the graph. Find the probability that the member selected at random is from the shaded region of the graph. Assume the variable x is normally distributed. The probability that the member selected at random is from the shaded area of the graph is as needed.) Pregnancy Length in a Population of New Mothers 280Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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