Two shopkeepers run their business at Nagoya. Shop K sells fish soup, and Shop N sells Sushi. They run their business based on weather condition. Let K, N denote the event where Shop K, N are on business (on a particular day) respectively. The (conditional) probabilities of whether they open the shop is given in the following table. From the statistics, for a single day it has probability 0.5, 0.2, 0.3 to be sunny, cloudy and rainy respectively. Weather KN KN° K N K Nc Sunny Cloudy 0.45 0.25 0.20 0.10 0.50 0.15 0.20 0.15 Rainy 0.05 0.15 0.30 0.50 (a)What is the probability that it is rainy today, and Shop K is open? (b) Find P(Κ), P(N), P(KN), P(Κυ Ν). (c) If Reo recalls on 2019/4/15 he had fish soup and sushi at Nagoya. What is the probability that it was a cloudy day?
Two shopkeepers run their business at Nagoya. Shop K sells fish soup, and Shop N sells Sushi. They run their business based on weather condition. Let K, N denote the event where Shop K, N are on business (on a particular day) respectively. The (conditional) probabilities of whether they open the shop is given in the following table. From the statistics, for a single day it has probability 0.5, 0.2, 0.3 to be sunny, cloudy and rainy respectively. Weather KN KN° K N K Nc Sunny Cloudy 0.45 0.25 0.20 0.10 0.50 0.15 0.20 0.15 Rainy 0.05 0.15 0.30 0.50 (a)What is the probability that it is rainy today, and Shop K is open? (b) Find P(Κ), P(N), P(KN), P(Κυ Ν). (c) If Reo recalls on 2019/4/15 he had fish soup and sushi at Nagoya. What is the probability that it was a cloudy day?
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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