Homework Problem H5: This problem combined with Homework Problem H4 makes some key comparisons between Chapters 6 and 7. a) Verify that the function f(x) = 1 with its domain being the interval [5,10] is a valid p.d.f. of a continuous random variable X. Note: this is the function you graphed in homework exercise 18 in section 7.1. b) Consider the funiction f(x) = with the domain being the interval 5/27 (-00, 00) (you do not need to memorize this formula). This function is called the normal probability density function with mean 11 and standard deviation 5. It can be verified that this function is a valid of a random variable X. c) Using the function from part a) above, compute P(X = 7). d) Using the function from part a) above, compute P(X 27). e) General Rule for finding P(as X

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