94. A Company has four production sections viz. S, S2, S3 andS, which contribute 30%, 20%, 28% and 22% respectively to the total output.It was observed that these sections respectively produced 1%, 2%, 3% and 4%defective units. If a unit is selected at random and found to be defective, what isthe probability that the unit so selected has come from either section S, orsection S4 ?e.strctirtictirtititves is isrcte.vtivectite.

Answered: Image /qna-images/answer/20c01856-9d68-4f8d-ac82-4f9ee317dcf0.jpg

Answered: 94. A Company has four production…

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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2. For a normal population withu=D100 and o=15, a what is the probability of obtaining a sample mean greater than 103 for a sample ofn=25 scores? b. what is the probability of obtaining a sample mean less than 93 for a sample of n=9 scores?
17. According to the results of a recent survey, 10% of the teenagers in a city are habitual smokers. Now 20 teenagers are selected randomly and independently from the city. (b) Find the probability that exactly 18 teenagers in the sample are not habitual smokers. Teacher's Solution is: 18 non-habitual smokers = 20 – 18 = 2 habitual smokers P(X = 2) = 20C2(0.1)2(0.9)18 = 0.2852 Is the answer wrong? The probabiity that the soluion shows is exactly 2 teenagers in the sample are habitual smoker? But not the probabiity that exactly 18 teenagers in the sample are not habitual smoker?
4.
A1
10. The number of students who fail per semester is often modeled as a Poisson random variable. Assume that on the average there are 6 students who fail per sem. d. If exponential distribution can model this system, what is the probability that there will be no failing students right after midterm? Let X denote the time in semesters from the start of the interval until the first failure and that a semester is divided by midterm period.e. Calculate the probability that there will be a failing student within the first semester.f. Calculate the probability that a failing student will be first spotted after midterm up to end of the first semester?
What is the probability of finding an H2O based compound with a blue label in a storage facility of 1,000 vials. We know there are 22 vials of H2O based compound in the facility, and that 800 of the total number of vials in the facility have blue labels.
1. Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AUB) =0ff Calculate P(A B).
5. Suppose that a student attending a class has an infectuous disease. Suppose that with probability 1/2 she does not infect anybody, with probability 1/4 she infects exactly one other person, and with probability 1/4 she infects exactly two people. Let X be the number of people infected by this student. Calculate the expectation and the variance of X.
9. This is a simplified inventory problem. Suppose that it costs c dollars to stock anitem and that the item sells for s dollars. Suppose that the number of items thatwill be asked for by customers is a random variable with the frequency functionp(k). Find a rule for the number of items that should be stocked in order tomaximize the expected income. (Hint: Consider the difference of successiveterms.)
1. The following table shows the probabilities associated with the discrete random variable, which counts the number of sales performed at a peak hour in a store in a downtown commercial. It is known that the probability that at most three sales is 40%, that at least five sales are made is 55%, but having less than 6 sales is 63%. one). Find the values of a, b, and c. two). Calculate the cumulative distribution function 3). Find the expectation and variance
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 A random sample of size 12 drawn from a population of size 200. The sample values and their probabilities are (52,0.004), (72,0.003), (64,0.005), (58,0.003), (42,0.002), (76,0.006), (71,0.006), (63,0.006), (87,0.008), (57,0.002), (61,0.003) and (86,0.007). Estimate population total with a 95% confidence interval by using probability proportional to size sampling.

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