Closed form for the moment generating function
Find a closed form for the moment generating function of a discrete uniform random variable, that is, for the random variable X with pmf p(x) = 1/n for x = 1,2,3,....,n.(hint: use lemma 2.6.1.)
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Suppose that the distance from one end of a pole and the other be modeled by a normal distribution with mean 47.5 and standard deviation of 0.5. Calculate the value of the distance that is exceeded by only 3% of the length between the poles. show
B. Case II - Use t statistic, assuming variances are unknown but equal C. Case III -Use t statistic, assuming variances unknown and unequal D. Case IV - Use paired t test
Starting with the formula and substituting values for each variable, provide all the steps of the calculations to arrive at a z-score of +1.4. Show all steps of the calculations to arrive at a z-score of ?2.2.
Two semiconductor factories are being compared to see if there is a difference in the average defect rates of the chips they produce. In the first factory, 250 chips are sampled. In the second factory, 350 chips are sampled. The proportions of def
Someone offers you a game of unbiased coin toss, where you win 111 USD on tails, and lose 85 USD on heads. What is the expected value of one such toss?
The following estimated regression equation relates sales to inventory investment and advertising expenditure. y=25+10x1+8x2 The data used to develop the model came from a survey of 10 stores;
The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz.?
In my class of 20 students, 7 are juniors, 11 are seniors, and 9 are senior biology majors. What is the probability of choosing a senior from this group?
A SRS of 21 orangutans is selected, and 65 cc of blood is drawn from each orangutan using a 100 cc syringe. This method does not result in exactly 65 cc being drawn each time. Instead, this method results in normally distributed draws with mean 65
One test that people who wish to donate blood must undergo is a test of iron level. Individuals with insuficient iron levels are not permitted to donate blood.
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