the test Q3.16 Marks CLO(4)] Circle the correct answer 1) The joint probability
ID: 3148839 • Letter: T
Question
the test Q3.16 Marks CLO(4)] Circle the correct answer 1) The joint probability of two mutually exclusive events is always a. 1.0 b. between 0 and 1 c. 0 2) Two independent events are a. always mutually exclusive b. never mutually exclusive c. always complementary 3) Two mutually exclusive events a. have the same probability b. cannot occur together c. have no effect on the occurrence of each other 4) The sum of the probabilities of all final outcomes of an experiment is a. 100 b. 1.0 c. 5) The mean and standard deviation of a binomial probability distribution with n =25 and p =0.20 are a. b. c. 5 and 2 8 and 4 4 and 3 6) The number of cars sold at a dealership during a given month is an example of a. discrete random Variable b. Continuous random variable c. Neither a nor bExplanation / Answer
1) Joint probability measures the likelihood of two events ocurring at the same time. Since, mutually exclusive events cannot occur at the same time, therefore, the joint probability of mutually exclusive events is 0 (Answer: c)
2) Two independent events can never be mutually exclusive as independent events can occur at the same time while mutually exclusive events cannot. (Answer:b)
3) Two mutually exclusive events by definition do not occur at the same time. They may or may not have the same probability of occuring. (Answer: b)
4) The sum of probabilities of all the finite outcomes of an event is always 1 as one of the events of all the events is bound to occur. (Answer: b)
5) The mean for binomial probability distribution is given as n*p = 25*0.20 = 5
the standard deviation is [n*p*(1-p)]^0.5 = [25*0.2*0.8]^0.5 = 2 (Answer: a)
6) number of cars sold would be a discrete random variable as the cars sold could be any number of the total cars available to sell (0,1,2,3, etc.) and there is a probability of selling any number of cars. (Answer: a)
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