Example 14 : In a state election in year 2002 there were three major parties X, Y, Zfighting for the claim of Chief Minister ship. The chances of winning the election of the 3parties are in the ratio 1 :2 : 3 respectively. The probability that the party X if selected, willintroduce total arrack prohibition in that state is 1/2. The probability that the party Y if selected,will introduce total arrack prohibition in the state is 1/4 and the prohibition that the party Z ifselected, will introduce total arrack prohibition in the state is 3/4. What is the probability thatthere will be a total prohibition in the state after the election in year 2002.

Answered: Image /qna-images/answer/a79ba4a1-6c63-4183-89c7-1e8e7c0242a1.jpg

Answered: Example 14 : In a state election in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Bag A contains 3 red balls and 1 blue ball. Bag B contains 2 red balls and 3 blue balls. I choose one of the two bags randomly, put my hand into it and take out two balls. (a) What is the probability that I have taken out one blue ball and one red one? (b) What is the probability that I took the balls from bag A, given that I have taken out one blue ball and one red one?
Imagine an animal that shows two variants; one long-legged and one short-legged. Each female produces 2 female offspring per generation and then dies. The offspring of the long-legged ones survive to adulthood (reproductive age) with a probability of 55% and the offspring of the short-legged ones survive to adulthood with a probability of 45%. If you begin with a population of 60 females of each type, what proportion of individuals will have long legs in 5 generations? (Note that you can ignore males and count only females and their offspring.) Show all work.
There are two bags containing several colored balls. The bag B, contains 10 red balls, 12 blue balls, and 13 green balls. The bag B, contains 20 red balls, 19 blue balls and 19 green balls. A student of your class wanted to draw 1 red ball and 3 blue balls. i. If he has the option to draw from only bag B1, what is the probability of drawing the four balls? [Give your answer upto 4 decimal places] ii. If he can choose any bag in an equiprobable manner, what is the probability of drawing the four balls in this case? [Give your answer upto decimal places] 4
Kim and Susan are playing a tennis match where the winner must win 2 sets in order to win the match. For each set the probability that Kim wins is 0.59. The probability of Kim winning the set is not affected by who has won any previous sets. (a) What is the probability that Kim wins the match? (b) What is the probability that Kim wins the match in exactly 2 sets (i.e. only 2 sets are played and Kim is the one who ends up winning)? (c) What is the probability that 3 sets are played?
An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 stocks that will yield the highest return over the next year and the 2 bonds that will have the highest return over the next year. Suppose that these predictions are made randomly and independently of each other. What is the probability that the analyst will be successful in at least 1 of the 2 tasks?
1.A family wishes to adopt 4 pets from a total of 13 dogs and 7 cats available at an animal shelter. The variable "x" being measured is the number of dogs. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations using C(Dt). 2. A student forum at a high school needs to elect 5 people from 10 Grade 11 students and 15 Grade 12 students who are available. The variable"" being measured is the number of Grade 12 students. Show the probability distribution table, using 3 columns: one for x, one for P(x), and one for x*P(x). The second column should show calculations involving C(Dt).
Factories A, B and C produce computers. Factory A produces 4 times as many computers as factory C, and factory B produces 6 times as many computers as factory C. The probability that a computer produced by factory A is defective is 0.038, the probability that a computer produced by factory B is defective is 0.035, and the probability that a computer produced by factory C is defective is 0.047. A computer is selected at random and it is found to be defective. What is the probability it came from factory B? Answer:
You roll a die and flip a coin. What is the probability that roll a 4 or get a Head on the coin? Show somework or give some explanation.
There are three containers, A, B and C. Each container contains 25 balls, which are either red or blue. Container A has 15 red balls, container B has 16 red balls, and container C has 12 red balls. In a random experiment, one first randomly chooses a container, and then a ball is drawn from the chosen container. The probability of choosing container B in step 1 is 2/5 . The experiment is designed so that the events “the ball drawn is red” and “the ball drawn comes from container A” are independent. Suppose that the ball drawn is red. What is the probability that it came from container C?
In a city, there are two independent firetrucks, the probability that the first firetruck access to the fire place during ten minutes is 0.75, while the probability that the second firetruck access the fire place during ten minutes is 0.6. what is the probability that both firetrucks can access the fire place at the same time?
Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair coin is tossed –whoseprobability of turning up heads is 40%. If the coin comes up heads, box I is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box II. If a red marble is chosen, what is the probability it came from box I?

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