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Suppose that X and Y have a joint probability density function (pdf)
f(x; y) =
k(x + 2y) for 0 < x < 1 and 0 < y < 1;
0 otherwise.
(a) Find k such that f(x; y) is indeed a valid pdf.
(b) Find the marginal pdf of Y .
(c) Find E(Y ).
(d) Find the conditional pdf fXjY (x j y).
(e) Find P(X 0:5 j Y = 0:5).
Test either there is any difference among the given variable also what does the Levene's Test shows. What variable is presented in this table.
A manufacturer wants to increase the shelf life of a line of cake mixes. past records indicate that the average shelf life of the mix is 216 days. after a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (i..
A particular company offers a 500$ deductible policy. If the company wishes its expected profit to be $100, what premium amount should it charge?
Given that Z is a standard normal random variable. What is the value of Z if the area to the left of Z is 0.9382?
What is the probability that more than 25% of the business travelers say that the reason for their most recent business trip was an internal company visit?
Note that under the exponential assumption, P(X>t) = exp(-t/theta). If t=5, use the result from (a) to find an approximate one-sided lower 95% confidence limit for theta.
We can assign probabilities to values of using the normal density curve with mean 0.30 and standard deviation 0.023. Use this density curve to find the probabilities of the following events.
An insurance representative wants to determine if the proportions of women and men who buy the different policy types are the same. The actual sales results for 50 women and 50 men are
The Quick Change Oil Company has a number of outlets. The numbers of oil changes at the Oak Street outlet in the past 20 days are: Organize the data into a frequency distribution and include the relative frequency distribution.
q1 a researcher suggests that male nurses earn more money than female nurses. a survey of 16 male and 20 female
Assumed to have 20 pounds of carry-on baggage, find the probability that his total is greater than 195 pounds. Round your answer to three decimal places.
To determine whether this difference is significant, you collect data on the seating preferences for the students in your class. A researcher hypothesizes that individuals who listen to classical music will score differently from the general popula..
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