) 1. Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), orgo straight (S). Consider observing the direction for each of three successive vehicles. a.List all outcomes in event A that all three vehicles go in the same direction.b. List all outcomes in event B that all three vehicles take different directions. c.List all outcomes in event C that exactly two of the three vehicles turn right. d.List all outcomes in event D that exactly two vehicles go in the same direction. e.List outcomes in D'.

Answered: Image /qna-images/answer/21f31708-13f1-43a0-b769-c31cc9604dca.jpg

Answered: ) 1. Suppose that vehicles taking a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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7. The following table organizes students by campus and gender: Richmon Surrey Newton Langley All Campuses d Male 1800 1600 700 700 4800 Female 2200 1900 300 800 5200 Total 4000 3500 1000 1500 10000 Find: a) the probability of a student being female. b) the probability of a Newton student being female. c) the probability of a female student being at Newton. d) the probability of male student being at Richmond or Surrey.
1. Why is it so much more likely that some pair of people at a party will have the same birthday, than that someone at the party will have a birthday today?
12. An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of women. For each of the three factors, the probability is 0.1 that a woman in the population has only this risk factor (and no others). For any two of the three factors, the probability is 0.12 that she has exactly these two risk factors (but not the other). The probability that a woman has all three risk factors, given that she has A and B, is 1/3. Calculate the probability that a woman has none of the three risk factors, given that she does not have risk factor A. (A) 0.280 (B) 0.311 (C) 0.467 (D) 0.484 (E) 0.700 4
If two events, A and B, are not independent, then the joint probability of event A and event B equals a. the conditional probability of event A given event B times the marginal probability of the event B b. the conditional probability of event B given event A times the marginal probability of the event A c. both of the above d. none of the above
6. A pizza contains three toppings randomly selected from the following choices: pepperoni, mushrooms, green peppers, ham, bacon, and onions. Manuel enjoys all toppings, except bacon and onions. What is the likelihood that a pizza will contain a) no toppings that Manuel dislikes? b) exactly one topping that Manuel dislikes? c) at least one topping that Manuel dislikes?
16. Given that two events A and B are mutually exclusive, P(An B) is: a. b. C. d. 17. At a pet store you can choose between 6 fish species, 2 mini frog species, and 4 plant species. You want your tank to contain one fish, one frog, and one plant. How many different setups are possible for your tank? a. 12 b. 48 C. 3 d. 0 0.50 1 None of these a. b. 18. A set of data is normally distributed with a mean of 7 and a standard deviation of 2.5. Calculate the z- score for the data value x = 5: C. d. 122 0.80 -0.80 0.90 -0.90
6.) A mathematics class has 16 engineers majors, 12 science majors, and 4 liberal artsmajors.a.) What is the probability that a student selected at random will be a science orliberal arts major?b.) What is the probability that a student selected at random will be anengineering or science major?c.) 5 of the engineering students, 6 or the science majors, and 2 of the liberal artsmajors are female. What is the probability that a student selected at random is anengineering major or a female?
Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.
5. A group of n people stand in a line. On the count of three, each of them simultaneously chooses to look either left or right (with equal probability): at one of their neighbors. Let X be the number of pairs of adjacent people that end up facing each other. (For example, if n = 5 and the random facings are "Left, Left, Right, Left, Right" then only the 3rd and 4th people face each other.) (a) Find the expected value E[X]. (b) Find Pr[X=0]. (c) Assuming n is even, find the maximum possible value of X, and the probability that X is equal to that value.
If the student attends class on a certain Friday, then he is five times as likely to be absent the next Friday as to attend. If the student is absent on a certain Friday, then he is three times as likely to attend class the next Friday as to be absent again.

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