Problem 3In proof testing of circuit boards the probability of any particular diode will fail is .05.a) Suppose a circuit board contains 25 diodes, what is the probability that more than 23 diodes(inclusive) will not fail?b) Suppose a circuit board contains 60 diodes, what is the probability more than 2 and at most5 diodes will fail?c) Suppose a circuit board is as in part b). What is the probability that exactly 6 will fail?

here given , in proof testing of circuit board the probability of any particular diode will fail is…

Answered: a) Suppose a circuit board contains 25…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the other two numbers, which are neither black nor red, are 0 and 00. The probability that when the wheel is spun it lands on any particular number is 1/38. a) What is the probability that the wheel lands on a red number? b) What is the probability that the wheel lands on a black number twice in a row? c) What is the probability that the wheel lands on 0 or 00?
A personal computer manufacturer buys 38% of its chips from Japan and the rest from America. Of the Japanese chips, 2% are defective, whereas 3% of the American chips are defective. Set up a tree diagram. a) Find the probability that a chip is not defective. b) Find the probability that a chip is defective and came from Japan. c) Given that a chip is defective what is the probability it came from America.
2. a) What is the probability of getting exactly seven heads in the course of twelve flips of an honest coin? b) Let's say you have a dishonest coin, such that its probability of landing head side up is 0.7. Now what would be the probability of getting exactly seven heads in the course of twelve flips? c) What is the modal (likeliest) number of heads to occur in twelve flips of the dishonest coin in 2b)? d) Which probability distribution is designed for such problems?
5)a) Bart tosses 3 coins. The probability of the result not being "3 heads or 3 tails. b) Jessica rolls 3 cubes numbered 1 through 6. The probability of not rolling either "3 ones" or "3 sixes". Solve both early and correctly
A local county has an unemployment rate of 6%. A random sample of 16 employable people are picked at random from the county and are asked if they are employed. Round answers to 4 decimal places. a) Find the probability that exactly 4 in the sample are unemployed. b) Find the probability that there are fewer than 3 in the sample are unemployed. c) Find the probability that there are more than 2 in the sample are unemployed. d) Find the probability that there are at most 3 in the sample are unemployed.
2) A spinner has an equal chance of landing on scarlet, crimson, vermilion, burgundy and maroon. It is spun twice. a) Make a table showing all of the possible outcomes. b) What is the probability that the spinner lands on crimson twice? c) What is the probability that the spinner lands on burgundy at least once? d) What is the probability that the spinner lands on vermilion or maroon? e) What is the probability that the spinner lands on scarlet at least once? f) What is the probability that both spins land on the same colour?
At a Noodle & Company Restaurant the probability that a customer orders a nonalcoholic beverage is .50 A) Find the probability that in a sample of 14 customers none of the 14 will order a nonalcoholic beverage. B) Find the probability that in a sample of 14 customers at leaat 7 will order a nonalcoholic beverage. C) Find the probability that in a sample of 14 customers fewer than 8 will order a nonalcoholic beverage. D) Find the probability that in a sample of 14 customers all 14 will order a nonalcoholic beverage.
1,000 people were sampled to pick a card which contained a color and symbol. 350 people in total picked a card that was blue. 223 people in total picked a card with a star. 161 people chose card that was both blue and had a star on it. a) what is the probability that a person randomly chose a blue card? b) what is the probability that a person randomly chose a card that was both blue and had a star on it? c) what is the probability that a person randomly chose a card that was either blue or had a star on it?
19. A family has three children. Assuming that it is equally likely that they have a boy or a girl, make a tree diagram that lists every possible permutation of the family having three children and then answer the questions below: a) Tree Diagram: b) What is the probability that the family has at least 2 boys? c) What is the probability that the family doesn’t have three girls?
A group of 12 students are located in the following time zones: 3 PST, 2 MST, 2 CST, 5 EST.Four students are randomly selected from this group.a) What is the probability that they are in the same time zone?b) What is the probability that they are all in different time zones?c) What is the probability that exactly two time zones will be represented in this group?
Out of all the business students, 40% specialize in accounting, 15% fail the business math course, and 5% are accounting students who also failed th 4) math class. a) What is the probability that a student in accounting fails their math class? What is the probability that a student who fails their math class is studying accounting? What percentage of students are either taking accounting or passe b) c) their math course?
An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit. Assume the probability of a gate failure is p and that the failures are independent. If any gate in the circuit fails, the entire circuit will fail. What should be the value of p so that the probability that the integrated circuit functions is 0.95? 5.

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