Determine the probability density function
The random variable X is uniformly distributed from -1 to 0, and the random variable Y is uniformly distributed from -1 to 1. X and Y are statistically independent. Determine the probability density function of Z = X + Y.
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A sample of 15 pairs of X and Y values produces a correlation of +0.47. For alpha = 0.05 (two-tailed) can we conclude that there is a non-zero correlation between X and Y in the population? Why/why not?
Police at SUU (Small Unnamed University) have got the report that the student was skateboarding in hall. As it turns out, exactly 1 person committed crime and all students are lying. Find who is guilty party?
Two registers in the microprocessor are read at random times which are statistically independent. Each register is read once. If the time at which each register is read is uniformly distributed from 0 to 30 ms, determine the probability that the r
A student should answer 43 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination (to 2 decimals)?
Determine resultant velocity of airplane? Suppose that east lies in direction of positive x-axis and north in direction of positive y-axis.
Assume X is a binomial random variable with n = 100 and p = 0.1, find
After one year he sold all shares at $ 20.25 per share. He paid the commission of 4% on sale Price. He received the dividend of $1.50 Per share. Determine Percent return on investment?
The airplane heading due east has the velocity of 195 miles per hour. The wind is blowing from north at 42 miles per hour. Determine resultant velocity of airplane?
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