b. In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.Suppose a circuit board contains 200 diodes.I. How many diodes would you expect to fail, and what is the standard deviation of the numberthat are expected to fail.II. What is the probability that at least four diodes will fail on a randomly selected board.III. If six boards are shipped to a particular customer, what is the probability that at least four ofthem will work properly.

b.) In proof testing of circuit boards, the probability that any particular diode will fail is 0.01.…

Answered: b. In proof testing of circuit boards,…

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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Q3. If the Bit Error Rate (BER) in a wireless communication system in 0.5%, then find the following at the receiving side, A. How many errors (in bits) will be there if a 100 MB file is sent? B. What is the probability of exactly 6 errors (in bits) if a 100 MB data is sent? C. What is the probability of 4 or less than 4 errors (in bits) if a 100 MB data is sent?
A population proportion is 0.59. Suppose a random sample of 656 items is sampled randomly from this population. Appendix A Statistical Tables a. What is the probability that the sample proportion is greater than 0.61?b. What is the probability that the sample proportion is between 0.58 and 0.60?c. What is the probability that the sample proportion is greater than 0.58?d. What is the probability that the sample proportion is between 0.53 and 0.56?e. What is the probability that the sample proportion is less than 0.50?
A manufacturing machine has a 55% defect rate. If 103 items are chosen at random, answer the following: A. What is the probability that less than 55 of them are defective? Round final answer to 4 decimal places. B. What is the probability that at least 59 of them are defective? Round final answer to 4 decimal places
1. The probability that a person will die when he or she contracts a virus infection is 0.002. Of the next 1500 people infected, what is the mean number who will die? 2. Suppose that, on average, 5 persons in 1000 makes a numerical error in preparing his or her income tax return. If 10,000 returns are selected at random and examined, find the probability that 6, 7, or 8 of them contain an error.
Suppose that you and two friends go to a restaurant, which last month filled approximately 90.5% of the orders correctly. Complete parts (a) through (d) below. a.What is the probability that all three orders will be filled correctly? b. What is the probability that none of the three orders will be filled correctly? c. What is the probability that at least two of the three will be filled correctly? d. What are the mean and standard deviation of the binomial distribution used in (a) through (c)? Interpret these values.
A population proportion is 0.61. Suppose a random sample of 655 items is sampled randomly from this population. d. What is the probability that the sample proportion is between 0.58 and 0.59?e. What is the probability that the sample proportion is less than 0.51?
A random sample is one in which the A. probability that an item is selected for the sample is the same for all population items. B. Population items are selected haphazardly by experienced workers. C. Items to be selected from the population are specified based on expert judgement. D. Probability of selecting a population item depends on the item's data value.
9. Sixty percent of all road accidents are due to distracted driving. In a random sample of 400 accidents, what is the probability more than 250 are due to distracted driving. 10. According to CNN, The unemployment rate fell to 3.7% in September 2018, the lowest level since December 1969. What is the probability of finding more than more 14 unemployed people in a random sample of 200 people?
2. The mean number of power outages in the city of Manila is 4 per year. Find the probability that in a given year a. There are exactly 3 outages. b. There are more than 3 outages.
2. According to data from Statistics Canada, Chinese is the mother tongue of 8.1% of Toronto residents. a. If 3 Toronto residents are randomly selected, find the probability that they all have Chinese as their mother tongue. b. If 3 Toronto residents are randomly selected, find the probability that at least one of them has Chinese as their mother tongue. 1 Page 236, #1, Pearson Custom Mathematics for Canada: St. Clair College Introduction to Statistics Page 2 of 5 ΜΤH 237 Exam Review W21 M. Ripley c. If groups of 100 Toronto residents are randomly selected, what is the mean number of residents whose mother tongue is Chinese? d. If groups of 100 Toronto residents are randomly selected, what is the standard deviation for the number of residents whose mother tongue is Chinese? e. Would it be unusual to get 10 people whose mother tongue is Chinese in a randomly selected group of 100 Toronto residents? Why or why not??
6. The probability that a truck will be going over the speed limit on 1-80 between Cheyenne and Rock Springs is .75. Suppose that a random sample of 5 trucks is observed on this stretch of 1- 80. a. Find the mean of this probability distribution. b. Find the standard deviation of this probability distribution. c. What is the probability that exactly 3 of the 5 trucks are going over the speed limit? d. What is the probability that 2 or 3 of them are going over the speed limit? (be bail (s svig stasqdioot abheq2 trigue (d 7. In Manoa Valley on the island of Oahu the annual rainfall averages 43.6 inches with standard deviation 7.5 inches. Normally Distributed a. For a given year, make a sketch and find the probability that the annual rainfall will be more than 53 inches. b. Find the probability that the average rainfall over the past 5 years is more than 53 inches. CICLA
4. Suppose the incubation period for land turtle eggs is normally distributed with a mean of sixty- seven days and standard deviation 7.4 days. a. Find the probability that a land turtle egg will take at least eighty days to hatch. b. Find the probability that a land turtle egg will take at most fifty-five days to hatch. c. Find the probability that a land turtle egg will take between fifty and eighty-five days to hatch. d. Find the length of time such that 85% of the land turtle eggs will have hatched by then. e. Suppose a veterinarian becomes concerned about the health of the land turtle if it takes longer than ninety days to hatch. What is the probability of this happening if the turtle is healthy? Is it likely for this to happen? f. Find and interpret the 90th percentile.

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