3. If X ~ Exp(2), then what is the exact distribution of Y = e-^x?
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f ? ∼???(?), then what is the exact distribution of ?=?^(−??)?
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- Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 232 feet and a standard deviation of 52 feet. We randomly sample 49 fly balls. I need help solving the problems below What's the probability that the 49 balls traveled an average of less than 224 feet? (answer must be rounded to four decimal places) Sketch the graph. Scale the horizontal axis for x̅. and shade the region corresponding to the probability Find the 70th percentile of the distribution of the average of 49 fly balls. (answer must be rounded to two decimal places) Can you please show me your work so I can understand and learn how you got the answer Thank youBut isn't the mean of the gamma distribution aplha (beta)The population of scores on a nationally standardized test forms a normal distribution with a mean of 300 and a standard deviation of 50. If you take a random sample of n = 25 students, what is the probability that the sample mean will be less than M = 280? Pls explain! Thx!
- Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 2% of the cases. Consider a random sample of 1600 people who have stopped using the painkiller. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people in the sample who experience withdrawal symptoms. ? (b) Find the standard deviation of p.Scores on a history test have an average of = 70 with standard deviation of 5. What is the z-score for a student who earned a 65 on the test? What is the coefficient of variation? 2. The annual salaries of employees in a large company are approximately normally distributed with a mean of $70,000 and a standard deviation of $30,000. (6 points) What percent of people earn less than $40,000? What percent of people earn more than $85,000? What percent of people earn between $40,000 and $85,000? 3. Assume women’s heights follow a normal distribution with a mean of u = 64.5 inches and a standard deviation of 2.5 inches. Find the probability that a sample of 14 women have a mean height greater than 65 inches.The noon-day temperature (in °C) in Ajax last winter can be represented by the normal distribution X~N( 6, 62). How often was it above - 3°C at noon in Ajax last winter? Make a sketch.
- qu(1): here a sample of a depression inventory 58,47,52, 61,59,56,49 (a) what is the mean? (b) what is the median? (c) what is the standard deviation ? sum of (x**2) = (sum of(x)) = standard deviation = round your answer to two decimal places24. A study compared union activity of employees in 10 plants during two different decades. The researchers reported “a significant increase in union activity, t ( 9 ) = 3.28 , p < .01. t ( 9 ) = 3.28 , p < .01. ” Explain this result to a person who has never had a course in statistics. Be sure to use sketches of the distributions in your answer.