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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2.Suppose that 60% of middle school students in San Diego wear braces. A random sample of 250 San Diego middle school students is selected. a.What is the mean and standard deviation of the 250 samples students that will have braces? b.What is the probability that at most 190 students in the sample wear braces?
1. The probability that an albino rat will survive a medical experiment is 0.40. If ten animals are treated in the experiment, a. what is the probability that at least 8 will survive the experiment? b. what is the probability that at most 3 will survive the experiment?
9.) The mean starting salary for teachers is $53,475 nationally. The standard deviation is approximately $5,250. Assume that the starting salary is normally distributed. a.) State the random variable. b.) Find the probability that a starting teacher will make more than $60,000. c.) Find the probability that a starting teacher will make less than $50,000. d.) Find the probability that a starting teacher will make between $52,000 and $59,500. e.) If a teacher made more than $61,000, would you think the teacher was overpaid? Why or why not?
6.12, please
10.2.% of the population is 65 or older . Find the probability that the following number of persons selected at random from 50 people are 65or older . The probability that at most 2 are 65 or older is ?
Suppose a math class contains 37 students. There are 19 females (six of whom speak Spanish) and 18 males (five of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 3. What percent of Spanish speaking students are male? 4. If someone does not speak Spanish what is the probability they are female?
Twelve doctors work at a clinic, of which 3 were trained at Harvard Medical School. Four doctors are randomly selected from the 12 clinic doctors to attend a special conference. A. What is the probability that at least one of the doctors going to the conference is a Harvard Medical graduate? B. Find the standard deviation for the number of doctors out of the 4 that were trained at Harvard Medical School.
3. A company produces boxes of candy that contain a mean of 50 candies each. The standard deviation is 2. Quality control will reject any box with fewer than 48 candies. a) What is the probability that a box selected at random contains exactly 51 pieces? b) What proportion of the boxes will quality control reject as containing too few candies? c) The company produces 135 000 boxes of candy a day. How many of these boxes will have at least 48 candies but no more than 53?

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