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1. Find the joint p.d.f. of the signal from Exercise 8.5.1 at t1 = 1, t2 = 1.5, and t3 = 2.5. Write the integral formula for P(0 ≤ X(1) ≤ 1, -1 ≤ X(1.5) ≤ 3, 0 ≤ X(2.5) ≤ 2).
Evaluate the above probability numerically.
2. Show that if a 2D Gaussian random vector Y- = (Y1, Y2) has uncorrelated components Y1, Y2, then those components are statistically independent random quantities.
Suppose you have a set of blood pressures with a mean of 80 diastolic and standard deviation of 5 points. assuming a normal distributions of blood pressures, what two values should 95% of all blood pressures lie? show work.
the life spans of car batteries are normally distributed with a mean of 44 months and a standard diviation of 5
Based on a survey of over 10,000 households, the number of televisions in the home was recorded as given in the table below. Based on the data, find the expected number of televisions in a home.
The researcher will then compare the scores for the two treatments. If there is a difference between the two groups of scores. Briefly explain how the difference simply may be sampling error.
Suppose we select a sample of 16 cuts from various CDs sold by CRA CDs, Inc. What can we say about the shape of the distribution of the sample mean?
a major department store chain is interested in estimating the average amount its credit card customers spent on their
Poisson random variable with a mean rate of 8 messages per hour. What is the probability that fewer than three messages are received in one-half hour?
test the hypothesis that more females use instagram than males. samples of 500 female and 500 males were chosen and 430
Support colour-coding on packaged food to indicate healthier options
question 1 a persons blood glucose level and diabetes are closely related. let x be a random variable measured in
Winnipeg during rush hour are occupied by just the driver. If you choose 12 vehicles at random, what is the probability that 7 or more carry just the driver?
Simulate the birthday problem to find the first person with the same birthday as yours. Perform the simulation 500 times. How many people did it take to find the first match? Was it typically about the same as the theoretical expected value?
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