Let X be a random variable having a uniform distribution on the interval [2; 14]. Find the probability that X takes on a value le than 5 four times in eleven experiments. Answer:
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- Let X be a normally distributed random variable with a mean of 12 and a standard deviation of 1.25. What proportion of the values of X are less than 14? 0.945 0.933 0.625 None of these choices[4+2=6 pts] The following table gives the distribution of the number of hours students study each day (X) in a certain university. 1 3 4 P(X) 0.15 0.25 0.30 0.20 0.10 a) Find the mean and standard deviation of the number of hours of study. b) If 6 students are selected from this university, what is the probability that 4 will be found to study 3 hours each day?Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 5 miles per hour. Let X be the speed for a randomly selected car. Round all answers to two decimal places. If one car is randomly chosen, find the probability that is traveling less than 70 mph.
- It is known that the variable X is normally distributed as X-N (117, 8.4). If a sample size of 37 is selected then find the probability below P(X < 119)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 224 to 236 minutes? Round your answer to four decimal places. iThe percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
- = Assume that the probability of a being born with Genetic Condition B is p sample of 291 volunteers. 29/30. A study looks at a random Find the most likely number of the 291 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 291) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) O= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value μ+2o. Enter answer as an interval using square-brackets only with whole numbers. usual values =Suppose that the duration of a particular type of criminal trial is known to have a mean of 18 days and a standard deviation of 6 days. We randomly sample 9 trials.Give the distribution of ΣX.Find the probability that the total length of the 9 trials is more than 188 days. 70 percent of the total of 9 of these types of trials will last more than how long? (Round your answer to two decimal places.)daysA sample of n 8 scores has a mean ofM = 16. For this sample, EX = 128. O True O False