Uniform random variable on the interval
Let U be a uniform random variable on the interval [0,1]. Let X= U^1/5. Find a function g(x) so that g(U) is an exponential random variable with parameter λ, and prove it is.
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In a random sample of 740 Americans, 33.5% indicated that they've a cat for a pet. Determine with 94% confidence the proportion of all Americans that have cats as pets. (Give the confidence interval in percentages.)
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Given that a continuous random variable X has normal distribution with = 60 and = 4 Find the following probability.
Assume x is difference between price scanned and price marked on item, and y is amount refunded to customer. Write the formula for y in terms of x.
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Assume that the population of heights of female college students is approximately normally distributed with mean m of 67.26 inches and standard deviation s of 5.96 inches. A random sample of 78 heights is obtained. Show all work.
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