Assignment Solutions
The density of random variable $X$ is $f(x) = \frac{(x-8)(12-x)}{9}$ for $8\leq x \leq 11$ and 0 otherwise. Using the R integrate function (a) find the probability that $x< 10.4$…
Suppose 20% of the people in a city prefer Pepsi-Cola as their soft drink of choice. If a random sample of six people is chosen, the number of Pepsi drinkers…
The mean BMI in patients free of diabetes was reported as 28.2. The investigator conducting the study described in Problem 1 hypothesizes that the BMI in patients free of diabetes…
A crossover study was conducted to investigate whether oat bran cereal helps to lower serum cholesterol levels in hypercholesterolemic males. Fourteen such individuals were randomly placed on a diet that…
Suppose that you are interested whether exposure to the organochlorine DDT which has been used extensively as an insecticide for many years, is associated with breast cancer in women. As…
A study was conducted to determine whether an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child. A sample of 77 newborns…
E. canis infection is a tick-borne disease of dogs that is sometimes contracted by humans. Among infected humans,the distribution of white blood cell counts has an unknown mean $\mu$ and…
Mimi plans on growing tomatoes in her garden. She has 20 cherry tomato seeds. Based on her experience, the probability of a seed turning into a seedling is 0.60. (a)…
69% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number…
The 29% of the loans given by a bank are high-cost loans. If 5 cases of loans were selected, what is the probability that i) none are high-cost loans? ii)…
