95. Rand Corporation produces electrical components utilizingthree non-overlapping work shifts. It is observed that 50%, 30% and 20% ofthe components are produced during shift 1,2 and 3 respectively. Furthermore6%, 10% and 8% components produced in shift 1, 2 and 3 respectively aredefective. Determine :(a) What percentage of all components is defective ?(b) Given that a defective component is found, what is the probability thatis was produced during shift 3 ?(c) If one shift has to be closed down which one should it be ? What effectwould it have on the overall defects to good prices ratio ?

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Answered: 95. Rand Corporation produces…

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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7. a. What is the most likely outcome?b. One person is selected at random from these adults. Find the probability that this person is:(i) In favor of cloning(ii) Male and Female against cloning(iii) In favor of cloning given that the person is female(iv) Male or female in favor of cloning
11. Find the probability of the indicated event if P(E) = 0.20 and P(F)= 0.35. Find P(E and F) if P(E or F)= 0.30 P(E and F) = (Simplify your answer.)
3. Construct a probability distribution for the data and draw a histogram for the following: a. A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1/12, 1/12, and 1/12 respectively. P(X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. P(X)
43. The daily demand for a spare engine part is a random variable with a distribution, based on past experience, given by Number of Demands per Day Probability .21 38 .19 1 2 3 .14 4 .08 The part is expected to be obsolete after 400 days. Assume that demands from one day to the next are independent. The parts cost $1,500 each when acquired in advance of the 400-day period and $5,000 each when purchased on an emergency basis during the 400-day period. Holding costs for unused parts are based on a daily interest rate of 0.08 percent. Unused parts can be scrapped for 10 percent of their purchase price. How many parts should be acquired in advance of the 400-day period? (Hint: Let D1, D2, . . , D400 represent the daily demand for the part. Assume each D; has mean µ and variance o². The central limit theorem says that the total demand for the 400-day period, ED;, is approximately normally distributed with mean 400µ and variance 400o².) ....
25)
Suppose that the proportions of blood phenotypes in a particular population are as follows: O A B AB 0.47 0.06 0.02 0.45 Assuming that the phenotypes of two randomly selected individuals are independent of one another, what is the probability that both phenotypes are O? (Enter your answer to four decimal places.) What is the probability that the phenotypes of two randomly selected individuals match? (Enter your answer to four decimal places.)
6. For an insurance coverage, claim counts follow a binomial distribution with m = 4. q varies by insured with the following probabilities: 0.1 0.2 0.3 Probability 0.5 0.25 0.25 An insured submits 0 claims in the first year and 3 claims in the second year. Calculate the predictive probability of the same insured submitting 0 claims in the third year.
1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)
5. Based on recent records, the manager of a car painting centre has determined the following probability distribution for the number of customers per day: 1 3 4 P(X = x) 0.05 0.2 0.3 0.25 0.15 0.05 А. f the centre has the capacity to serve three customers per day, what is the probability that one or more customers will be turned away on a given day? В. What is the probability that the centre's capacity will not be fully utilized on a day? С. away is no more than 0.1? By how much the capacity must be increased so the probability of turning customer 2. il
2. Of people who died in the United States in a recent year, 86% were white, 12% were black, and 2% were Asian. (These values ignore a small number of earths among other races. ) Diabetes caused 2.8% of deaths among whites, 4.4% among blacks, and 3.5% among Asians. (a) draw a completely labeled probability tree for this problem. (b) calculate the overall percent of people who died of diabetes across all the three races. (c) given a randomly selected dead person died of diabetes, what is the probability that he/she was white?
5. A commuter must pass through 4 different traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X P(X) 0 0.05 1 0.25 2 0.35 3 0.20 4 0.15a. What is the probability she is stopped one time on her way to work?b. What is the probability she is stopped at least two times on her way to work

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