The probability that Jack passes calculus II given that he passes Calculus I is 0.8. The probability that Jack passes Calculus Ii given that he fails Calculus I is 0.3. Likewise, the probability that Jack passes Calculus III given that he passes Calculus II is 0.8. The probability that Jack passes Calc III given that he fails Calculus II is 0.3. Suppose that Jack passes Calculus I. (a) Find the probability that Jack passes Calculus III (b) Find the probability that Jack passes Calculus II and Calculus III.
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The probability that Jack passes calculus II given that he passes Calculus I is 0.8. The...
Joe is allowed to take a driver’s exam up to two times. The probability that he passes the exam on the first attempt is 0.7. If he does not pass the exam on the first attempt, the probability he passes on the second attempt is 0.8. (a) What is the probability that Joe fails on the first attempt and passes on the second attempt? (b) If Joe comes home and tells you he just past his driver’s exam, what is...
1.- The probability that a computer is out of Fault service: type I is 1/5, type II is 13/50, type III is 23/100, of type I and II of 13/100, of type I and III of 3/20, of type II and III is 7/50 , and of all types 1/10, which Is the probability that it fails due to any of these causes? Answer: 2.- A person has the opportunity to win a prize, if he is able to strike...
We believe that 80% of the population of all Calculus I students consider calculus an exciting subject. Suppose we randomly and independently selected 24 students from the population. If the true percentage is really 80%, find the probability of observing 23 or more of the students who consider calculus to be an exciting subject in our sample of 24. In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen,...
I mainly need help with part b and c. I know I'm supposed to modify part i so that only two events are represented, but I'm not sure how to do that. 4. Suppose an experiment consists of picking a student from the set of all students registered on the UCSD campus this quarter. It is not necessary to assume that all students are equally likely to be picked, but you may make this assumption if it makes you feel...
1) Find the probability that there are no customers in the system, given that: (i) number of channels in parallel = 3 (ii) mean arrival rate = 24 per hour (iii) mean service rate of each channel = 10 per hour
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In a firm there are 3 sales group according to the regions: Group I, Group II, and Group III. There are 100 sales consultant in this firm. There are 34 sales consultant in Group I, 29 in Group II, and 30 in Group III. There are 12 consultants that are in both Group I and Group II, 18 that are in both Group I and Group III, and 8 are in both Group II and Group III. In addition, there...
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-1(2-xsxs2 ; otherwise f(x) (i) Determine the value of c ii) Obtain cumulative distribution function (iii) Find P(X<1.2). Question 2 Consider the following cumulative distribution function for X 0.3 0.6 0.8 0.9 1.0 (i) Determine the probability distribution. ii) Find P(X<1). iii Find P(O <Xs5). Consider the following pdf ,f(x) = 2k ; 1<x<2...
(i) A probability distribution relates the expected outcomes of an experiment to the probability of each one occurring. (ii) The probability of all events in a probability distribution must sum to one. (iii) A finite population consists of a fixed number of individuals, objects, or measurements. Select one: a. (i) and (ii) are correct statements but not (iii). b. (i) is a correct statement but not (ii) or (iii). c. (i), (ii), and (iii) are all false statements. d. (ii)...
Use the given information to find the indicated probability. P(A) = 0.1, P(B) = 0.8, PCA n B) = 0.05. Find P(A UB). P(A U B) =