Let X have a uniform distribution on (0,2) and let Y be independent of X with a uniform distribution over (0,3). Determine the cumulative distribution function of S=X+Y. Please can you help me solve this question. Also, could you explain how you know at which intervals to split up the cases of the fucntion.
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Let X have a uniform distribution on (0,2) and let Y be independent of X with a uniform distribution over (0,3). Determine the cumulative distribution
Please can you help me solve this question. Also, could you explain how you know at which intervals to split up the cases of the fucntion.
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- Show all work. Do not reuse a former solution.The frog wants to send a gift to the princess. He needs to jump a total distance of 10 meters to reach her. Suppose that each time, the frog independently generates a random variate from the normal distribution N(1,1). If the generated variate is below zero, the frog will jump away from the princess. If the generated variate is above zero, the frog will jump towards the princess. The distance that the frog covers in each jump is the absolute value of the variate. Calculate the probability that after two jumps, the frog has still not reached the princess.We have a random variable X that is uniformly distributed on interval [-1,2]. Let Y = |X| - 1. We want to find pdf using CDF technique. What is the support and pdf for the random variable Y? What would fy(-.2) be? What about Fy(-.2) be?
- A loss random variable X has a continuous uniform distribution on the interval (0, 100). An insurance policy on the loss pays the full amount of the loss if the loss is less than or equal to 40. If the loss is above 40 but less than or equal to 80, then the insurance pays 40 plus one-half of the loss in excess of 40. If the loss is above 80, the insurance pays 60. If Y denotes the amount paid by the insurance when a loss occurs, find the variance of Y. 1020 A) B) 1040 C) c) 1060 D) 1080 3 1110 E) 3 3 3Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 100 pounds and a standard deviation of 38.6 pounds. Random samples of size 20 are drawn from this population and the mean of each sample is determined. ux= o-x= graph=just question 2's a b and c please thank you!!!!
- All of question 5 with full working pleaseLet ZZ be a discrete random variable taking one of the four distributions covered in Chapter 10. Suppose you know that Var(Z)=(k+1)E(Z)Var(Z)=(k+1)E(Z) where kk is the last non-zero digit of your student ID number. Determine the distribution of ZZ and find its parameter(s), explaining your argument carefully.The amount of time it takes Susan to wait for the bus is continuous and uniformly distributed between 4 minutes and 18minutes. What is the probability that it takes Susan less than 5 minutes given that it takes less than 11 minutes for her to wait for the bus