1. Suppose that a variable x has the following distribution function:
f(x) = 0.0800x for x between 0 and 5.0
What is thepopulation mean?
2. Suppose that a variable x has the following distribution function:
f(x) = 0.3200x for x between 0 and 2.5
What is thepopulation variance?
3. Suppose that a variable x has the fo
Please see the attachment for the full problem description.
1. A single observation of a randomvariable having an exponential distribution with ----
If the null hypothesis is accepted if and only if the observed value of therandomvariable is less than 3.
a) Find the probabilities of Type I and Type II errors.
Consider the experiment of tossing a coin twice.
1. List the experimental outcomes.
2. Define a randomvariable threat that represents the number of heads occurring on the two tosses.
3. Show what value therandomvariable would assume for each of the experimental outcomes.
4. Is therandomvariable discreet or continuous?
Assume that the population of heights of male college students is approximately normally distributed with mean m of 69.09 inches and standard deviation s of 4.71 inches. A random sample of 92 heights is obtained. Show all work.
(A) Find p(x>68.5)
(B) Find the mean and standard error of the distribution
(C) Find p(x
Part A: Describe the properties of a normal distribution. Explain why there are an infinite number of normal distributions. How does a standard normal distribution differ from any from any other normal distribution, and how is it similar? Explain.
Part B: What is the transformation to standardize a normal randomvariable? Why