Two factories manufacture theNumber of Defectssame machine parts. Each part is classified ashaving either 0, 1, 2 or 3 manufacturing defects.The joint probability for this is given in theadjoining Table.(i) A part is observed to have no defect. Whatis the probability that it was produced by X manmufacturer ?(ii) A part is known to have been produced by manufacturer X. What is the probahility, hat the part hasno defects ?(iii) A part is known to have two or more defects. What is the probability that it was manufacturedby X?(iv) A part is known to have one or more defects. What is the probability that it was manufactured byY ?Manufacturer1230.12500-06250-18750-1250Y0-06250-06250-12500-2500

Answered: Image /qna-images/answer/4ac03a61-9a64-4d46-88ca-be6fe860d7c7.jpg

Answered: Two factories manufacture the Number of…

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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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.
Given two fair dice, (1) What is the probability that the dice show the same numbers? (2) What is the probability that the dice sum to an even number? (3) What is the probability that the product of the numbers rolled is less than 12?
Suppose the probability of winning the Powerball lottery is 0.2, while the probability of being abducted by aliens is 0.6. If these two events are independent, what is the probability of winning Powerball but not being abducted? (A) 0.48 (B) 032 (C) 0.08 (D) 0 (E) 0.12 (F) 0.6 (G) 1 (H) 0.2
You and I play the following game: I toss a coin repeatedly. The coin is not necessarily fair and P(H) = p ( the probability of getting a head is p) .The game ends the first time that two consecutive heads (HH) or two consecutive tails (TT) are observed. I win if (HH) is observed and you win if (TT) is observed. (a) Find the probability that I won the game. (b) Given that I won the game, find the probability that the first coin toss resulted in head. (c)If the game is fair, then p =?
The table below shows the results of a survey that asked 1062 adults from a certain country if they favored or opposed a tax to fund education A person is selected at random. Complete parts (a) through (c) Males Females Total Support 170 238 408 Oppose 326 296 622 Unsure 8 24 32 Total 504 558 1062
(a) Let A and B be two events of the same sample space. The probability that the event A occurs equals 0.2 The probability that the event B occurs equals 0.3 The probability that at least one of the events A and B occurs equals 0.4. Find the probabilities: (i) Both the events A and B occur. (ii) The event B occurs, given that the event A has occurred.
Q31. The odds against manager X settling the wage A dispute with the workers are 8:6 and odds in favor of manager Y settling the same dispute are 14:16. () What is the chance that, neither settles the dispute, if they both try independently? (ii) What is the probability that the dispute will be settled?
Johnny has rolled a pair of standard fair six-sided dice. Given that one of the two dice shows 3 dots, what is the probability that the sum of the number of dots showing on both dice is even?
3. (a) You roll three fair six-sided dice. What is the probability that you obtain a total of (i) 5 and (ii) 10?
Suppose the probability of winning the Powerball lottery is 0.1, while the probability of being abducted by aliens is 0.6. If these two events are independent, what is the probability of winning Powerball but not being abducted? (A) 0.06 (B) 0.54 (C) 0.04 (D) 0.6 (E) 0 (F) 0.1 (G) 1 (H) 0.36
Q7 (a) 48% of customers at the snack counter of a movie theater buy soft drinks. Among those who buy soft drinks, (i) What is the probability that a customer at the counter buys a drink and popcorn? Theaters use this type of calculation to decide which products should be bundled to appeal to 8% also purchase popcorn. Based on the probability so calculated, what is your recommendation customers. Whether to bundle the products or not? (ii) If the proportion of customer who buys popcorn is 22%. Then find the probability that a customer will buy a popcorn or a soft drink?
Suppose we know that the probabilities P(A) = .5, P(B|A) = .3 and P(A or B) =.3. What is the value for P(A and B)? What is the value for P(B)?

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