Question 1 16.67 pts Evaluate the integral. 8 5 da (x + 2) [I...

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Question 1 16.67 pts Evaluate the integral. 8 5 da (x + 2) [In(x + 2)]2 2 5 In 4 5 5 In 4 ln x + 2) 5 In 2 1 In 2 Question 2 16.67 pts Evaluate the integral. 8 5 (x + 4) 4 da 5 5 + 3 (x + 4) 3 192 1 24 5 24 5 192 Question 3 16.67 pts The a probability density function on the interval [-1, 5]. True False Question 4 16.67 pts The function x2 + 2xc - 6 is a probability density function on [0,3]. True False Question 5 16.67 pts Find the mean of the random variable X with probability density function 32 3 x² + 16 3319 3 x + 32 on [-1,3]. 1 1 2 1 2 Question 6 16.67 pts Find the variance of the random variable X with probability density function 1/202 1 x 2 + 1/19 1 x + N/A on [-2,4]. 1 6 1 1 2 01/15

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