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Let X be the number of major storms in a particular state in a given year. The probability of having no major storms is 0.50, of one major storm is 0.30, of two major storms is 0.10, of three major storms is 0.08, and of four major storms is 0.02 (there have never been more than 4 major storms in this state in a given year).
(a) Write down the probability distribution of X in table form, and also check to make sure it is a valid probability distribution.
(b) Find the expected number of major storms in a given year, and the standard deviation of the number of storms in a given year.
(c) Find the probability that there is at least 1 storm in a given year. ((21) If there was more than 1 storm, ?nd the probability that there were 3 storms.
Environmentalists are concerned about emissions of sulfur dioxide into the air. The average number of days per year in which sulfur dioxide levels exceed.
a sample of alzheimers patients is tested to assess the amount of time in stage iv sleep. the number of minutes spent
Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
QUESTIONS #36 THROUGH #40 REFER TO THE FOLLOWING:A professor wants to analyze the number of hours students spent online during the weekend and their scores on a test the following Monday. Part of the regression output appears below.
Apply the problem discovery sample size formula to several finite populations. How should I integrate the finite population correction factor (FPC) into this formula?
A transportation company wants to estimate the average length of time goods are in transit across the country. A random sample of 20 shipments gives x = 2.6 days and s = 0.4 day. Give a 99% con?dence interval for the average transit time.
Who burns more energy? Table gives data on the lean body mass and metabolic rate for 12 women and 7 men. You made a scatterplot of these data in Exercise.
Suppose we wish to test the hypothesis H0: = µ2 vs. H1: = µ≠2 We find a two sided p-value of .03 and a 95% CI for µ of (1.5, 4.0) Are these two results possibly compatible? Why or why not?
If a random sample of size n = 74 is drawn, find µx, s x and P(15 = x = 17). (Round s x to two decimal places and the probability to four decimal places.)
Assume that the weight of cereal in a "10-ounce box" is N( µ, ai). To test H0 : µ = 10.l against H1 : µ > 10.1, we take a random sample of size n = 16 and observe that = 10.4 and s = 0.4.
use normal approximation to estimate the probability of passing a truefalse test of 60 questions if the minimum
intelligence quotient iq in a certain population is normally distributed with a mean of 100 and standard deviation of
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