If X is a uniformly distributed random variable with a = 4 and b = 8 then, calculate the standard deviation of x? Round to three decimal places
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- Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 165000 dollars. Assume the standard deviation is 45000 dollars. Suppose you take a simple random sample of 83 graduates. Find the probability that a single randomly selected salary is at least 164000 dollars. P(X > 164000) = Find the probability that a sample of size n = dollars. 83 is randomly selected with a mean that is at least 164000 P(M> 164000) = Enter your answers as numbers accurate to 4 decimal places. > Next QuestionYou are to roll a fair die n=108 times, each time observing the number of dots appearing on the top side of the die. The number of dots showing on the topside of toss i is a random variable represented by Xi, i=1,2,⋯,108. (a) Consider the distribution of the random variable Xi. Find the mean and the standard deviation of the number of dots showing on the uppermost face of a single roll of this die.μXi= ____________ Enter your answer using all the decimals you can.σXi= ____________ Enter your answer using all the decimals you can. (b) What is the probability that the average topside on your tosses will be somewhere between 3.4 and 3.7? Enter your answer using all the decimals you can. _____________ (c) What is the probability that the average of your tosses is greater than 4.15? Enter your answer using all the decimals you can. ______________The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random variable ranging from 7 to 12. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.) Mean Standard deviation
- Assume that adults have IQ scores that are normally distributed with mean of mu = 100 and a standard deviation sigma=20, Find the probability that a randomly selected adult has an IQ 80 and 120 the probability that a randomly selected adult has an IQ between 80 and 120 is (type an integer or decimal rounfed to four decimal places as needed)Let X be a random variable that represents the level of glucose in the blood (milligrams per deciliter of blood). The distribution of X for a healthy person is normally distributed with men u = 85 and standard deviation o = 25. A person suffers from severe excess in insulin would have a lower level of glucose. A blood test with result of X < 40 would be used as an indicator that medication is needed. (a) What is the probability that a healthy person will be suggested with medication after a single test? (b) A doctor uses the average result of 2 tests for diagnosis, that is X. The second test will be conducted one week after the first test, so that the two test results are independent. For many healthy persons, each has finished two tests, find the expectation and standard error of the distribution of X. (c) The doctor suggests medication will be given only when the average level of glucoses in the 2 blood tests is less than 40, that is X < 40, so to reduce the chance of…Weekly salaries of college students in a large city are normally distributed with a mean of 650 dollars and a standard deviation of 65 dollars.Find the probability that a randomly selected weekly salary in this distribution is less than 605 dollars. P(X < 605) =
- A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1463 and the standard deviation was 314. The test scores of four students selected at random are 1870, 1220, 2190, and 1340. Find the z-scores ← that correspond to each value and determine whether any of the values are unusual. F1 The z-score for 1870 is (Round to two decimal places as needed.) The z-score for 1220 is. (Round to two decimal places as needed.) The z-score for 2190 is (Round to two decimal places as needed.) The z-score for 1340 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. (Use a comma to separate answers as needed.) OB. None of the values are unusual. F2 80 F3 000 000 F4 F5 ^ MacBook Air F6 & A D F7 * DII F8 DD F9 ) J 운 F10 I a F11 + Next F12 deleteThe number of tickets purchased by an individual for Beckham College’s holiday music festival is a uniformly distributed random variable ranging from 5 to 15. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.) Mean Standard Deviationfast
- The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000 miles of driving) of cars of a particular model varies Normally with mean 90 mg/mi and standard deviation of 4 mg/mi. A company has 25 cars of this model in its fleet. Find the level L such that the probability that the average NOX + NMOG level bar x for the fleet greater than L is only 0.03? Round final answer to three decimals.Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 131000 dollars. Assume the standard deviation is 30000 dollars. Suppose you take a simple random sample of 83 graduates.Find the probability that a single randomly selected salary is at least 129000 dollars.P(X > 129000) = Find the probability that a sample of size n=83n=83 is randomly selected with a mean that is at least 129000 dollars.P(M > 129000) = Enter your answers as numbers accurate to 4 decimal placethe number of tickets purchased by an indivisual for beckham colleges holiday music festival is a uniformly distributed random variable ranging from 7 to 14. find the mean and standard deviation and round to the 2 decimal places.