QUESTION 3. Research in a town shows that if it rains on any one day then the probabilitythat it will rain the following day is 25%. If it does not rain one day then the probability that itwill rain the following day is 12%. Starting on a Monday and given that it rains on thatMonday:(a) Draw a probability tree diagram to illustrate the information, and show the probability onALL of the branches.(b) Determine the probability that it will rain on the Wednesday of that week.

Given: If there is rain on any day, the next day 25% probability of rain If there is no rain on any…

Answered: QUESTION 3. Research in a town shows…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A restaurant randomly chooses what to include on its pizza of the day. The meat choices are pepperoni or sausage. The vegetable options are mushrooms, onions, or peppers. The crust options are sesame seed or garlic. Using a tree diagram, determine the probability of a pizza of the day including pepperoni, onions, and garlic crust on a given day? Express your answer as a percentage.
Question 11
Question 46 (page 181) DI, Richmond, a psychologist, is studying the daytime television viewing habits of college students. She believes 45% of college students watch soap operas during the afternoon. To further investigate, she selects a sample of 10. a) Develop a probability distribution for the number of students in the sample who watch soap operas. b) Find the mean and the standard deviation of this distribution. c) What is the probability of finding exactly four students who watch soap operas? d) What is the probability less than half of the students selected watch soap operas? Question 56 (page 182) According to sales information in the first quarter of 2016, 2.7% of new vehicles sold in the United States were hybrids. This is down from 3.3% for the same period a year earlier. An analyst's review of the data indicates that the reasons for the sales decline include the low price of gasoline and the higher price of a hybrid compared to similar vehicles. Let's assume these…
A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 7 cars needs to have oil added. If this is true, what is the probability of each of the following A. One out of the next four cars needs oil. Probability = B. Two out of the next eight cars needs oil. Probability = C. 10 out of the next 40 cars needs oil, Probability =
Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 and P(B|AC) = 0.45. a. Find P(AC). b. Find P(An B). c. Find P(An B). d. Construct a probability tree diagram. See the diagram on pages 50 and 52 of the course packet. Find P(B). Find P(A/B). Are A and B mutually exclusive? Why or why not? Are A and B independent? Why or why not? U e. f. g. h.
Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2. Find the probability of A given that B occurs.
Need help with Question 2.
EXAMPLE 32. The probability that a contractor will get a plumbing contract is 2/3, and the probability that he will not get an electric contract is 5/9, the probability of getting at least one contract is 4/5, what is the probability that he will get both ?

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