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Problem #4: The variable Y has the following probability distribution. 5.10.13 1

ID: 3341104 • Letter: P

Question

Problem #4: The variable Y has the following probability distribution. 5.10.13 10 0.25 15 0.43 20 0.07 25 0.12 The random variable (3 (Y/5)2 has a probability distribution of the following form. where the values of a, b, and c, are in increasing order. (a) Find the values of a, b, and c. (b) Find the values of d,e, and f. Enter the values of a,b,c in increasing order, separated by commas. -Enter the values of d,e,f Problem #4(b): separated by commas. Submit Problem) #4 for Grading Just Save Your work has been saved! (BacktoAdmin Page)

Explanation / Answer

Here for different values of Y, first we compute the values of k along with the respective probabilities as:

Therefore now using the above tables, the probability density function for K is computed as:

Therefore, we get:

Problem 4a) 0, 1, 4
Problem 4b) 0.43, 0.32, 0.25

Y K = (3 - (Y/5))2 P(K=k) 5 4 0.13 10 1 0.25 15 0 0.43 20 1 0.07 25 4 0.12
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