Pr. 3Production. In a production process, let N mean "notrouble" and T"trouble." Let the transition probabilitiesfrom one day to the next be 0.8 for N ->>> N, hence 0.2for N ->>> T, and 0.5 for T → N, hence 0.5 for T→ T.If today there is no trouble, what is the probability ofN two days after today? Three days after today?

Let's define the state space as S = {N, T}, and let's denote the transition probabilities as…

Answered: Production. In a production process,…

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 that the switchboard of consultant's office receives on the average 0.9 calls per minute, find the probabilities that: (a) In a given minute there will be at least one incoming all. (b) Between 10.00 a.m. and 10.02 a.m. there will be exactly 2 incoming ca (c) During an interval lof 4 minutes there will be at most 3 incoming calls.
Given that the switchboard of consultant's office receives on the average 0.9 calls per minute, find the probabilities that: (a) In a given minute there will be at least one incoming all. (b) Between 10.00 a.m. and 10.02 a.m. there will be exactly 2 incoming calls. (c) During an interval lof 4 minutes there will be at most 3 incoming calls.
TRUE/FALSE 1.When events A and B are independent, then P(A and B) = P(A) + P(B). 2.There are 3 blue balls, 4 red balls, and 2 white balls in a bag of balls. If a person selects two balls one at a time, without replacement, the probability that the second one is blue given that the first one was white is 3/8. 3.When a patient complains of several specific symptoms to a doctor, and the doctor makes the diagnosis saying that she is 90% certain that the patient has the flu, it is likely that she is basing her assessment on relative frequency approach of assigning probabilities. 4.If three coins were tossed together, the number of possible outcomes would be eight. 5.The sum of all the probabilities of simple events in a sample space equals one.
On cloudy days, Lucy has ramen for lunch with probability 0.4.On non-cloudy days, she has ramen with probability 0.2.We know she's having ramen tomorrowWhat's the probability that it's cloudy tomorrow?
In a game involving the roll of a single die, the following rules have been agreed upon: I pay P1 for each roll of the die. If a 6 comes out , I receive P5; if a 5 comes out I receive P2.50, and if a 4 or 2 comes out I receive P2. I receive nothing for a 1 or 3. Find my Expected Value. Interpret the result.
4.81. Whenever horses a, b, c race together, their respective probabilities of winning are 0.3, 0.5, 0.2. They race three times. (a) Find the probability that the same horse wins all three races. (b) Find the probability that a, b, c each wins one race.
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You have three red cards numbered 1,2,3 and two orange cards numbered 1,2. Finding the following probabilities
Find the conditional probability of the given event when two fair dice (one red and one green) are rolled. The red one is 2, given that the green one is 2. X 0.17
The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?
The probability that Ms. Brown will sell a piece ofproperty at a profit of $3,000 is 3 20 , the probability that she will sell it at a profit of $1,500 is 7 20 , the probability that she will break even is 7 20 , and the probability that she will lose $1,500 is 3 20 . What is her expected profit?
In a hamster breeder's experience the number X of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution x 3 4 5 6 7 8 9 P(x) 0.4 0.10 0.26 0.31 0.22 0.05 0.02 Find the probability that the next litter will produce five to seven live pups. Find the probability that the next litter will produce at least six live pups. Compute the mean and standard deviation of X. Interpret the mean in the context of the problem.

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