Imagine a man has two emotional type for each day: Happy and Sad. If he is happy in oneday, then the probability of being happy in the next day is 0.8, while the probability of beingsad is 0.2; if he is sad in one day, the probability of being sad is 0.6 and being happy at 0.4.(a) If he is happy today. What is the probability that he is happy tomorrow?(b) If he is happy today. What is the probability that he is happy the day after tomorrow?(c) If he is happy today. Given that he is happy the day after tomorrow, what is the probabilitythat he is happy tomorrow?

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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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Given the probability that "she's up all night 'til the sun" is 0.39, the probability that "she's up all night for good fun" is 0.30, and the probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.18, what's the probability that "she's up all night 'til the sun" OR "she's up all night for good fun"? Round to 2 decimal places as needed.
a. In CSE230, there were 2 assignments this semester. The probability that you would get above average marks in the first and the second assignments are 0.7 and 0.6 respectively. But if someone gets the above average marks in the first assignment, the probability of getting above average marks in the second assignment becomes 0.9. What is the probability to get above average marks in both the assignments?
QUESTION 2 a) Based on the past data, 8% of customers will order a dessert with the meal at a noodle's restaurant. 14% of them will order a bottled beverage. i. What is the probability that a customer will order both a dessert and a bottled average? (2 marks) ii. The customers have ordered a dessert with the meal. Calculate the probability that he or she will order a bottled beverage. (2 marks) b) The Graduate Management Admission Test (GMAT) is a requirement for all applicants of MBA programs. A variety of preparatory courses are designed to help applicants improve their GMAT scores, which range from 200 to 800. Suppose that a survey of MBA students reveals that among GMAT scorers at least 650, 72% took a preparatory course; whereas among GMAT scores of less than 650 only 31% took a preparatory course. The probability for an applicant to score at least 650 is 30%. Suppose he was not taking the preparatory course. What is his probability of achieving 650 or more for GMAT score? (5…
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(a) The probabilities that a customer will purchase a new car from Green, white, red or blue color are respectively 0.11, 0.14, 0.22 and 0.25. Find the probability that the new customer will not purchase car from these colors.
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