5. Suppose that you know that your friend was born sometime in the year 2001, but not whichday. Given this state of ignorance, we can model your friend's birthday as being chosenuniformly at random from the 365 days of a non-leap year. (In reality, these are not entirelyuniform, but they're pretty close, and we can ignore this effect.)(a) What is the probability that your friend was born in January?(b) Suppose you remember that your friend's birthday is on the 20th (of some month).Conditioned on this fact, what is the probability that your friend was born in January?(c) Now suppose you remember that your friend's birthday is on the 30th (of soe month).Conditioned on this fact, what is the probability that your friend was born in January?

The probability of the happening of a certain event say F is calculated by using the formula : P(F)…

Answered: 5. Suppose that you know that your…

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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Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows the following: If it rained yesterday and today, then it will rain tomorrow with probability 0.52. If it rained yesterday but not today, then it will rain tomorrow with probability 0.24. If it rained today but not yesterday, then it will rain tomorrow with probability 0.43. If it did not rain yesterday and today, then it will rain tomorrow with probability 0.34. Over the course of a year, about how many days in the city are rainy according to the model? The transition matrix for this Markov chain is given below. P= 0.52 0 0.43 0 0.48 0 0.57 0 0 0.24 0 0.34 0 0.76 0 0.66 O Over the course of a year, there are about rainy days. (Round to the nearest day as needed.)
A major traffic problem in Baguio City can be seen in the intersection of Abanao and Maharlika. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes. Draw the transition diagram in 2 periods. (TREE DIAGRAM)
How would I approach this problem?
13.) A string of Christmas lights contains 20 lights. The lights are wired in series, so that if any light fails, the whole string will go dark. Each light has probability 0.98 of working for a 3- year period. The lights fail independently of each other. Find the probability that the string of lights will remain bright for 3 years.
(1) On their first date, Kelly asks Mike to guess the date of her birth, not including the year. d) If Kelly asks Mike to guess her age, and Mike's guess is too high by 15 years, what is the probability that Mike and Kelly will have a second date?
Q. No. 5:Discuss the components of time series. b)There are five flights daily from Pittsburgh via US Airways into the Bradford Regional Airport in Bradford, Pennsylvania. Suppose the probability that any flight arrives late is 0.20. What is the probability that none of the flights are late today? What is the probability that exactly one of the flights is late today?
5. Suppose you live in an extremely unfortunate climate where it always rains on weekends (Saturday and Sunday). For that matter, there is always a chance of rain on a weekday (Monday-Friday) as well. If you have completely forgotten which day of week it is (so that it is equally likely to be any of the seven days), but you go outside and see that it's raining, what is the probability that it's the weekend?
both questions please. thank you!

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