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In: Statistics and Probability

Question 10 2.25 pts Suppose you are given the following probability distribution: x P(x) 10 0.10...

Question 10 2.25 pts Suppose you are given the following probability distribution: x P(x) 10 0.10 20 0.15 30 0.17 40 0.23 50 0.25 60 0.10 Find the standard deviation: 1576 221.76 14.89 36.80

Question 11 2.25 pts Suppose x follows a binomial distribution with parameters n = 7 and π = 0.35. The mean and standard deviation respectively are: 1.2619, 2.45 2.45, 1.5925 1.5925, 2.45 2.45, 1.2619

Question 12 2.25 pts Suppose x follows a Poisson distribution with a mean of 4.0, then the P(x ≥ 3): 0.4335 0.5665 0.1954 0.7619 Question 13 2.25 pts Suppose x follows a Poisson distribution with a mean of 4.0, then the P(x ≤ 3): 0.1954 0.5665 0.4335 0.7619

Question 14 2.25 pts Suppose x follows a Poisson distribution with a mean of 4.0, then the P(x = 3): 0.4335 0.1954 0.5665 0.2381

Question 15 2.25 pts Suppose x follows a normal distribution with a mean of 200 and a standard deviation of 30. Find the P(x < 150). 0.0475 0.9525 50 1.67

Question 16 2.25 pts Given a normal distribution with a mean of 200, a standard deviation of 30, and P(x < x0) = 0.9115. Find the value of x0. 159.5 -1.35 0.9115 240.5

Question 17 2.25 pts Suppose x follows a normal distribution with a mean of 200 and a standard deviation of 30. Find the P(x <170 or x > 250) 0.2062 0.7938 0.1587 0.9525

Question 18 2.25 pts Given a normal distribution with a mean of 200, a standard deviation of 30, and P(x > x0) = 0.4129. Find the value of x0. 0.22 193.40 0.4129 206.60

Question 19 2.25 pts Suppose x follows a normal distribution with a mean of 200 and a standard deviation of 30. Find the P(180 < x < 230). 0.4101 0.2514 0.5899 0.8413

Question 20 2.25 pts Suppose x follows a normal distribution with a mean of 200 and a standard deviation of 30. Find the P(x > 240) -1.33 0.0918 240 0.9082

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