· Question 1 4 out of 4 points Continuous random variables are obtained from data that can be measured rather than counted. · Question 2 4 out of 4 points The sum of the probabilities of all the events in the sample space of a probability distribution must equal 1. · Question 3 4 out of 4 points Discrete variables have values that can be measured. · Question 4 4 out of 4 points The following distribution is not a probability distribution because X 2 1 0 1 2 P(X) 0.16 0.20 0.12 0.45 0.31 · Question 5 4 out of 4 points The following distribution is not a probability distribution because X 2 1 0 1 2 P ( X ) 0.08 0.21 0.43 0.17 0.26 · Question 6 4 out of 4 points A(n) __________ probability distribution consists of the finite number of values a random variable can assume and the corresponding probabilities of the values. · Question 7 4 out of 4 points A(n) __________ variable is one in which values are determined by chance. · Question 8 4 out of 4 points Find the mean of the distribution shown below. X 2 3 4 P(X) 0.35 0.24 0.41 · Question 9 4 out of 4 points Find the mean of the distribution shown below. X 2 3 4 P(X) 0.36 0.40 0.24 · Question 10 Find the mean of the distribution shown. X 1 2 P(X) 0.32 0.68 Give the variance of the following distribution? X 0 1 2 3 4 P(X) 0.20 0.35 0.10 0.25 0.10 The number of cartoons watched on Saturday mornings by students in Mrs. Kelly’s first grade class is shown below. Number of cartoons watched X 0 1 2 3 4 5 Probability P(X) 0.15 0.20 0.30 0.10 0.20 0.05 What is the mean of the data? · Question 13 4 out of 4 points What is the standard deviation of the following probability distribution? X 0 2 4 6 8 P(X) 0.20 0.05 0.35 0.25 0.15 · Question 14 0 out of 4 points A pet supplier has a stock of parakeets of which 20% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet? · Question 15 4 out of 4 points A coin is tossed 72 times. Find the standard deviation for the number of heads that will be tossed. · Question 16 4 out of 4 points A university has 10,000 students of which 35% are male and 65% are female. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students. · Question 17 4 out of 4 points In a large bag of marbles, 20% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at random, what is the chance that the child gets exactly three red marbles? · Question 18 4 out of 4 points A surgical technique is performed on ten patients. You are told there is 70% chance of success. Find the probability that the surgery is successful for exactly 8 patients. · Question 19 0 out of 4 points A surgical technique is performed on nine patients. You are told there is 70% chance of success. Find the probability that the surgery is successful for exactly 5 patients. · Question 20 4 out of 4 points A surgical technique is performed on ten patients. You are told there is 90% chance of success. Find the probability that the surgery is successful for at least 8 patients · Question 21 0 out of 4 points A surgical technique is performed on eight patients. You are told there is 70% chance of success. Find the probability that the surgery is successful for at least 6 patients · Question 22 0 out of 4 points If a student randomly guesses at 15 multiple-choice Questions, find the probability that the student gets exactly five correct. Each Question has five possible choices. · Question 23 0 out of 4 points If a student randomly guesses at 10 multiple-choice Questions, find the probability that the student gets exactly five correct. Each Question has four possible choices. · Question 24 4 out of 4 points Find the mean and the standard deviation of a Binomial Distribution with n= 30 and p= 0.56 · Questio…
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