Normal with a mean
Assume that X is random variable with P(X = 1) = p and P(X =5) = (1 - p). Assume that the conditional distribution of Y given that X = x is Normal with a mean of 3x and Variance of 1.
Find P(X = 1|Y = y).
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At the coal mine there is machine that fills railroad cars. When 61 cars were filled, the mean amount per car was 6 tons (12,000 lbs) with standard deviation of 250 lbs. Calculate a 90% interval for the standard deviation of the weights of the car
Preliminary plans are underway for construction of a new stadium for the major league baseball team. City officials question the number and profitability of luxury corporate boxes planned for the upper deck of the stadium.
If population of India and China is at 2.3 billion in 2008, how many years will it take to reach 8.9 billion-assuming rate of growth is constant at 2.4%.
Carry out an appropirate hypothesis test, and express the conslusion in a way that would make sense to a 5th grader. Use a significance level of 0.05.
The Z score for robberies committed is 0.24 and the Z score for assault committed is .74. In which variable does the criminal have a lower relative position. Why?
The number of orders a department fills varies between 0 and 10 from day to day with the following probabilities: .02, .07, .15, .20, .19, .16, .10, .06, .03, .01, and .01. What is the probability of fewer than 4 orders?
The average age of doctors in certain hospital is 47.0 years old. Suppose the distribution of ages is normal and has a standard deviation of 6.0 years. If 25 doctors are chosen at random for a committee
A simple random sample of 81 births of Chinese babies resulted in the mean birth weight of 3245 g and standard deviation of 466 g. Test the claim that the standard deviation of birth weights of Chinese babies is 567g,
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