X 1 2 3 4 5 p x x 016 011 006 036 021 page 4 of 8

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Does the following table represent a valid discrete probability distribution?x12345P(X=x)0.16 0.11 0.06- 0.36 0.211/26/2020...Page 4 of 8APUS CLE : MATH302 B005 Win 20 : Tests & Quizzes
0.0/ 1.0 PointsQuestion 13 of 20The random variable X = the number of vehicles owned. Find the standard deviation of the number of vehiclesowned. Round answer to 4 decimal places.X01234P(X)0.1 0.35 0.25 0.2 0.1
2.0/ 5.0 PointsQuestion 14 of 20The number of rescue calls received by a rescue squad in a city follows a Poisson distribution with an average of 2.83 rescuesevery eight hours. What is the probability that the squad will have exactly 4 calls in two hours? Round answer to 4 decimal places. Answer:
Page 5 of 8APUS CLE : MATH302 B005 Win 20 : Tests & Quizzes
0.0/ 1.0 Points0.0/ 1.0 Points1.0/ 1.0 Points0.0/ 1.0 PointsQuestion 15 of 20There are 3.1 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find theprobability that there will be 5 accidents at this intersection. (That is, find P(X=5) (Round answer to 4 decimal places) Answer:
Question 16 of 20Suppose a random variable, x, follows a Poisson distribution. Letμ= 3 every day, find the P(X12) over a week. Roundanswer to 4 decimal places. Answer:
Question 17 of 20If random variable X has a Poisson distribution with mean = 10, find the probability that X is more than 8. (That is, find P(X>8) (keep 4 decimal places) Answer:
Question 18 of 20A bank gets an average of 12 customers per hour. Assume the variable follows a Poisson distribution. Find the probabilitythat there will be 4 or more customers at this bank in one hour. (That is, find P(X4)) (keep 4 decimal places) Answer:
Page 6 of 8APUS CLE : MATH302 B005 Win 20 : Tests & Quizzes

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