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.)
For any generic t-test for independent groups, write down the null and alternative hypotheses that are appropriate at alpha =.05 (2 tail). Write a verbal and an equation version.
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.
The graph of function has the horizontal asymptote. If graph crosses the asymptote, write x-coordinate of intersection. Otherwise, express that graph doesn't cross asymptote.
Determine maximum number of June bugs in millions to at least 3 places past decimal. For example, if you find maximum to be nine hundred million one hundred twenty thousand June bugs then answer is 900.120.
An institute constructed a poll of 1014 adults, 48% of whom were men. The poll results show that 12% of men and 33% of women fear flying. After constructing a contingency table which summarizes the data in form of frequency counts, test the claim
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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