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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- Cat's live an average 16 years with a standard deviation of 4 years. Assume the distribution is normal. Let X=the age at death of a randomly selected indoor cat. Round all numeric answers to 2 decimal places. C. The middle 40% of indoor cats' age of death lies between two numbers. What is the lower range of these cat's age of death?Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=15. Find the probability that a randomly selected adult has an IQ between 89 and 111.Assume that adults have IQ scores that are normally distributed with a mean of 96.1 and a standard deviation of 18.1. Find the probability that a randomly selected adult has an IQ greater than 129.0. The probability that a randomly selected adult from this group has an IQ greater thanb 129.0 is (Round to four decimal places as needed.)
- 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= yrsA normal distribution has mean u= 56 and standard deviation o = 20. Find and interpret the z-score forx=59. The z-score for x = 59 is So 59 is standard deviations (Choose one) v the mean u = 56.An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.
- A Show Time Remaining A The body lengths of deer mice are known to vary approximately normally, with mean 86 mm and standard deviation 8 mm. A research group is interested whether vitamin supplements will increase deer mouse body length. They select a random sample of 100 deer mice from the population of all deer mice that would ever receive vitamin supplements and observe their body lengths. Suppose the sample mean is calculated as 87.2 mm. Let u be the mean body length of deer mice who receive vitamin supplements. Provide the null and alternative hypotheses most appropriate for this situation. O A. Ho: H = 86 vs. Ha: P> 86 B. Họ: H = 87.2 vs. Hạ: µ 87.2 Reset SelectionAssume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.Assume that adults have IQ scores that are normally distributed with a mean of u= 100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 118. Click to view page 1 of the table Click to view page 2 of the table The probability that a randomly selected adult has an IQ less than 118 is (Type an integer or decimal rounded to four decimal places as needed.)
- Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a standard deviation sigma equals 20 . Find the probability that a randomly selected adult has an IQ less than 95 a. Find the z-score: z = nothing (round to 2 decimal places) b. Find the probability: nothing (use 4 decimal places)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 †
