Ex. 1. A contractor purchases a shipment of 30 computers. It is assumed that, the number of computers with somenonconformities is 0, 1 or 2 with the same probability 1/3. 10 computers from that shipment were randomly chosen andtested. What is the probability, that in this shipment are exactly 2 computers with some nonconformities, if all testedcomputers were good?

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Answered: Ex. 1. A contractor purchases a…

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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8
Suppose a shipment of 150 electronic components contains 4 defective components. To determine whether the shipment should be accepted, a quality-control engineer randomly selects 4 of the components and tests them. If 1 or more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected? The probability that the shipment is rejected is (Round to four decimal places as needed.)
An IRS auditor randomly selects 3 tax returns fro 49 returns of which 6 contain errors. What is the probability that she selects none of those containing errors?
3
A batch of 50 items contains 10 defective items. Suppose 10 items are selected at random and tested. What is the probability that exactly 5 of the items tested are defective? CS Scanned with CamScanner
3. Among the products of the first company, defective is 10%, the second - 20%, the third - 25%. We bought 6 products from the first company, 8 from the second and 4 from the third. For verification, one product was tested. Find the probability that it is valid.
6.) The National Spinal Cord Injury Statistical Center reports that 45% of all spinal cord injuries are caused by vehicle crashes. Suppose that we choose 15 spinal cord injuries at random.a.) What is the probability that 8 of the chosen injuries are from vehicle crashes? (Usethe formula)b.) What is the probability that fewer than 5 of the chosen injuries are from vehiclecrashes? (Use the calculator)c.) What is the probability that more than 9 of the chosen injuries are from vehiclecrashes? (Use the calculator)d.) What is the probability that between 4 and 10 of the chosen injuries are from vehiclecrashes? (Use the calculator)e.) What is the expected number of such injuries to result from vehicle crashes?f.) What is the standard deviation of the number of injuries resulting from vehiclecrashes?
28.) A Certain Blood Group type can be find only in 0.05% of the people. If the population of a randomly selected group is 3000. What is the Probability that at least a people in the group have this rare blood group.
Suppose a population consists of 10 items, four of which are classified as defective and six of which are classified as non-defective. What is the probability that a random sample of size three will contain two defective items?
1) The question screenshot is attached down below just need final answer.
Assume that the number of network errors experienced in a day on a local area network (LAN) is distributed as a Poisson random variable. The mean number of network errors experienced in a day is 1.9. What is the probability that in any given day less than three network errors will occur? ..... The probability that less than three network errors will occur is (Round to four decimal places as needed.)
12. If 2% of a certain brand of light bulbs are defective, find the probability that, in a random sample of 80 bulbs, a total of 0, 1, 2, 3, and more than 5 will be defective.

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