7.Suppose that there is 50% chance that it will rain today and 60% chance that it will rain tomorrow. Suppose alsothat there is 30% chance that it will rain both days. The probability that it either will rain today or tomorrow, but not both,isA. 0.5B. 0.6C. 0.3D. 0.1

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Answered: 7. Suppose that there is 50% chance…

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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If you play roulettes and bet on 'red' the probability that you win is 18/38 = .4737. People often repeat this between several times. We can consider each time we play a 'trial' and consider it a success when we win, so p = 18/38 or (.4737) and q = 20/38 or (.5263). Suppose that Caryl always places the same bet when she plays roulette, $5 on 'red'. Caryl might play just once, or might play several times. She has a profit (having won $5 more times than she lost $5) if she wins more than half of the games she plays. -when you play 401 times, p is the proportion of those 401 games that you win. You'll profit (winning more than you lose) if you win more than half of your bets p > .5000. c) what is the mean or expected value of p? d) what is the standard deviation of p? e) assume that the distribution of p is Normal and find the probability that Caryl will have a profit if she plays 401 times. show your work or calculator input and round your answer to four decimal places
1.1.3 If 60% of the population of the US need to have their vision corrected, we say that the probability that an individual chosen at random from the population needs vision correction is P(C)=.60. a. Estimate the probability that an individual chosen at random does not need vision correction. b. If 3 people are chosen at random from the population, what is the probability that all 3 need correction? c. If 3 people are chosen at random from the population, what is the probability that the second person does not need correction but the first and third do? d. If 3 people are chosen at random from the population, what is the probability that 1 out of 3 needs correction?
Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places
From observations of the weather, it is known that on October 20 the probability of rain is 0.85. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
56.6
Q3 a) A component has an exponential time to failure with a mean of 100 hours. (i) The component has already been in operation for its mean life. What is the probability that it will fall by 150 hours? (ii) The component will operate for another 50 hours given that it is in operation 150 hours. (iii) If 20 components are tested, what is the probability that at least one fails in less than 200 hours? Assume that the components fail independently. b) Students of National University were classified according to their favorite color: Blue 12 5 Favorite color Red 13 13 Black 25 20 Male Female If one student is selected at random, then find the probability that the selected student: (i) Doesn't like black color. (ii) Is Female and likes blue color. (iii) Is Male or like black color. (iv) Likes red color given that it is female.
17. Suppose that the probability that Bob has a flat tire is 56%. Also, suppose that the probability that Bob ha= both a flat tire and a transmission failure is 14%. Find the probability Bob will have a transmission failure if h- has a flat tire. A. 0.21 В. 0.23 C. 0.25 D. 0.27
Suppose that in a certain small town it either rains or is sunny every day. A meteorologist notes that when it is sunny in this town, it will be sunny the next day with probability 0.3. If it rains, it will be sunny the next day with probability 0.4. Answer the following questions: 1. What is the probability that it will rain the next day if it was sunny the previous day? 2. Suppose that the weatherman estimates there is a 90% chance of showers today. Find the probability vector representing this estimation where the state 1 is sunny and state 2 is rainy. 3. Based on the meteorologistť's estimation, what is the chance of rain tomorrow? 4. Based on the meteorologist's estimation, What is the chance of rain two days from now?
From observations of the weather, it is known that on October 20 the probability of rain is 0.25. A certain forecast method for October 20 is correct 0.9 times if rain is predicted and 0.75 times if no rain is predicted. How much information does a real weather forecast provide 20 th of October?
8. 6. Silvio can't find his keys. He suspects they re either in his car or in his apartment. His personal probability is 6/10 that they're in one of those two places. But he searched his car top to bottom and didn't find them, so his personal probability that they're in his car is only 1/10. On the other hand, his apartment is messy and most of the time when he can't find something, it's buried somewhere in the apartment. So his personal probability that the keys are in his apartment is 3/5. Explain how to make a Dutch book against Silvio.
8. A student says the probability that the daily high temperature is greater than 90° on an August day in Rocky Mount is 1.14. What is wrong with this conclusion?

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7. Suppose that there is 50% chance that it will rain today and 60% chance that it will rain tomorrow. Suppose also that there is 30% chance that it will rain both days. The probability that it either will rain today or tomorrow, but not both, is A. 0.5