99. Two factories manufacture the same machine part: Eachpart is classified as having either 0,1,2 or 3 manufacturing defects. The jointprobability distribution for this is given below :Number of defects0.12500.06250,1875Manufacturer AManufacturer B0.12500.06250.06250.12500.2500(i) A part is observed to have no defects. What is the conditionalprobability that it was produced by Manufacturer A ?(ii) A part is known to have been produced by manufacturer A. What is theconditional probability that the part has no defects ?(iii) A part is known to have two or more defects. What is the conditionalprobability that it was manufactured by A ?(iv) A part is known to have one or more defects. What is the conditionalprobability that it was manufactured by B ?

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Answered: , 99. Two factories manufacture the…

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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When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 10% of the wells had neither impurity, 90% had impurity A, and 20% had impurity B. (Obviously, some had both impurities.) If a well is randomly chosen from those in the county, find the probability distribution for Y, the number of impurities found in the well. P(no impurities)= P(exactly one impurity)= P(both impurities)=
ll 36 l 12% 7 15:04 4G .. Question One: (a) If 4 balanced coins are tossed simultaneously (or 1 balanced coin is tossed 4 times), compute the entire probability distribution and plot it. (b) Compute and plot the probability distribution for a sample of 5 items taken at random from a production process known to produce 30% defective items.
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
The joint probability distribution of variables X and Y is shown in the table below, where X is the number of tennis racquets and Y is the number of golf clubs sold daily in a small sports store. X 1 0.13 0.08 0.22 Y 1 0.16 0.14 0.03 2 0.07 0.04 0.13 What is the expected value of X? а. 1.02 O b. 0.36 О с. 0.26 O d. 1.85
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and test 22 tablets, then accept the whole batch if there is only one or none that doesn't meet the required specifications. If a particular shipment of thousands of aspirin tablets actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted? ... The probability that this whole shipment will be accepted is (Round to three decimal places as needed.)
Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.84. This can be expressed as P(call is for medical assistance) = 0.84. (a) Give a relative frequency interpretation of the given probability. O Eighty-four percent of all calls to the station are for medical assistance. O None of the calls to the station are for medical assistance. O Sixteen percent of all calls to the station are for medical assistance. O All calls to the station are for medical assistance. O Fifty percent of all calls to the station are for medical assistance. (b) What is the probability that a call is not for medical assistance?
1.Which probability distribution would you use to calculate the probability of success or failure of Advanced Researcher's vaccine if it were to be administered to people in society?
3. Some parts of California are particularly earthquake prone. Suppose that in one metropolitan area, 25% of homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let Y be the number among the four that have earthquake insurance. (a) Find the probability distribution of Y. (b) Draw the corresponding probability histogram. (c) What is the most likely value for Y? (d) What is the probability that at least two of the four selected have earthquake insurance?
The number of household members, x, living in Cityville homes has the following probability distribution: 1 3 4 7 8 P(x) 0.21 0.28 0.16 0.22 0.06 0.04 0.02 0.01 What is the expected size of a household in Cityville? O 3.17 0 4.50 O 2.89 O 2.43
A psychologist determined that the number of sessions required to obtain the trust of a new patient is either 1, 2, or 3. Let x be a random variable indicating the number of sessions re- quired to gain the patient's trust. The following probability function has been proposed. f(x) = for x = 1, 2, or 3 6. Is this probability function valid? Explain. b. What is the probability that it takes exactly two sessions to gain the patient's trust? с. What is the probability that it takes at least two sessions to gain the patient's trust?
Answer number 3

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