X is a Poisson random variable with a rate 6. Find the mean and standard deviation of X? Round answers to two decimal places
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X is a Poisson random variable with a rate 6.
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- On average indoor cats live to 14yrs oldvwith a standard deviation of 2.4 yrs.Suppose the distribution is normal.Let X = the age at death of a randomly selected indoor cat.Round answers 4 decimal places where possible. The middle 30 % of indoor cats age of death lies between what two numbers? Low= yrs High= yrsAssume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 124.The average annual salary for all U.S. teachers is $47,750. Assume that the distribution is normal and the standard deviation is $5680. Find these probabilities of the earnings of a teacher selected randomly. Round the final answers to at least four decimal places and intermediate z value calculations to two decimal places. More than 43,000 a year P(X> 43,000)=
- Assume that adults have IQ scores that are normally distributed with a mean of µ = 100 and a standard deviation o = 20. Find the probability that a randomly selected adult has an IQ between 80 and 120.to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 66 and a standard deviation of 10 . If only the top 13% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number. Cutoff scoreSuppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 236 feet and a standard deviation of 44 feet. We randomly sample 49 fly balls. Part (a) If X =average distance in feet for 49 fly balls, then give the distribution of X. Round your standard deviation to two decimal places. X ____, ________,_______ ~ . Part (b) What is the probability that the 49 balls traveled an average of less than 226 feet? (Round your answer to four decimal places.)Sketch the graph. Scale the horizontal axis for X. Shade the region corresponding to the probability. Part (c) Find the 70th percentile of the distribution of the average of 49 fly balls. (Round your answer to two decimal places.) ft †
- pls help me and write the solution down on a paper if you can thank youA 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 Deviation
- Hugo averages 46 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(46,11).Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is ________. This z-score tells you that x=45 is ________ standard deviations to the ________ (right/left) of the mean, ________.don't copy from chegg