A student has three routes of getting to his school: A, B, and C. Each day he picks one, and hischoice is influenced only by his previous day choice:- if he takes route A today, then he will take route A, B, or C next day with respective1 1 1probabilities 2 4 4- if he takes route B today, then he will take route A, B, or C next day with respectiveprobabilities, 0,- if he takes route C today, then he will take route A, B, or C next day with respective1 1 5probabilities 234(a) Use equations лР = π, Σ₁₁¹₁ = 1 to find the steady state probabilities.

From the given information, there are three routes of getting to school. If a student takes route A…

Answered: A student has three routes of getting…

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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Derek has a bag of marbles with 5 Blue marbles, 1 White marbles, and 1 Red marbles.Find the following probabilities of Derek drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.(a) A Blue, then a Red = (b) A Red, then a White = (c) A Blue, then a Blue, then a Blue =
An amount of $10,000 is to be invested for three years. The yield rate for the first year will be equally likely to be 5%, 6%, 7%, 8% or 9%; for the second year will be equally likely to be 7% or 9%; for the third year will be 7%, 8% or 9% with probabilities 0.3, 0.5 and 0.2, respectively. The yield rates in different years are independent. Find the probability that the accumulation of the investment for the three years will be greater than its expected value.
(QUEEN'S SECRET AND GENIES) In old days, there was a queen and she had a secret problem to solve. To get an answer to her secret problem, the queen bought one female and one male genie lamps. The probabilities that her secret problem can be solved by the male and female genies are 0.3 and 0.4 respectively. A Queen looking for divine help. Assume the queen keeps the genies independently away from each other with a fear that both could not harm her, what is the probability that the queen's secret problem is solved by at least one of the genies? Note: Please keep accuracy upto two decimal places.
please send the full answer
Write the m.g.f. of a r.v. X taking on values -4, 0 and 4 with respective probabilities 0.3, 0.4, and 0.3. 0.3 e4 +0.4 • e² + 0.3 -4z 0.3 e +0.4+ 0.3. e4z 1+0.3. e4z +0.3 · e-4z e4 0.3 ez +0.4 e² + 0.3. e4z
students, 59% attend four-year institutions, and the attend two-year institutions. Males make up 44% of the students in the four-year institutions and 40% of the students in the two-year institutions. (a) Find the four probabilities for each combination of sex and type of institution in the following table. Be sure that your probabilities sum to 1. Male Female Four-year institution Two-year institution noilalugeg blo

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