A bin contains 5 defective (that immediately fail when put in use), 10partially defective (that fail after a couple of hours of use), and 25 acceptable transistors.A transistor is chosen at random from the bin and put into use. If it does not immediatelyfail, what is the probability it is acceptable?

Answered: Image /qna-images/answer/08e2deae-9771-48df-ac8f-ab021cb8a16d.jpg

Answered: A transistor is chosen at random from…

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...

See similar textbooks

Similar questions

Studies show that some people who are fully vaccinated against COVID-19 will still getsick. Suppose that out of 10,000 people who are fully vaccinated, an average of one personwill get sick. ii. The probability that at leastrperson get sick is 0.2642. What is the value ofr ?
Suppose that the rats on the campus of Hypothetical U are found to be carriers of bubonic plague. Eradicating the rats has an estimated cost of $1,000,000 and is expected to reduce the probability a given student dies of the plague from 1/3,000 to zero. Suppose that there are 30,000 students on campus. Suppose further that the administration refuses to eradicate the rats due to the cost. From this information, we can estimate that the administration's willingness to pay to save a student statistical life is no more than $100,000 $1,000,000 $50,000 $33,333
A QR code photographed in poor lighting, so that it can be difficult to distinguish black and white pixels. The gray color (X) in each pixel is therefore coded on a scale from 0 (white) to 100 (black). The true pixel value (without shadow) the code is Y = 0 for white, and Y = 1 for black. We treat X and Y as random variables. For the highlighted pixel in the figure is the gray color X = 20 and the true pixel value is white, i.e. Y = 0. We assume that QR codes are designed so that, on average, there are as many white as black pixels, which means that pY (0) = pY (1) = 1/2. In this situation, X is continuously distributed (0 ≤ X ≤ 100) and Y is discretely distributed, but we can still think about the simultaneous distribution of X and Y. We start by defining the conditional density of X, given the value of Y : fX|Y(x|0) = "Pixel is really white" fX|Y(x|1) =" Pixel is really balck " Use Bayes formula as given in the picture and find the probability for x = 20 like in the picture.
A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.96, and the probability that at least one if the two engines does so is 0.98 and the probability that both engine do so is 0.935. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
A deck has only 51 cards left, because a spade has been removed. From this deck, cards will be drawn at random, in succession, without replacement. Let Xi be a random variable representing the number of spades in the future i th draw. Calculate the following, and present your answer with 5 digits after the decimal point: Prob(X1 + ... + X7 = 3) = [1]
Engineers working for an aerospace company are designing coatings for the heat shielding tiles used to line the cone of a rocket. The tiles themselves are heat resistant, but they must be replaced after each launch. To prolong their lifespan, the engineers are applying two different heat-resistant coatings. If the coatings work, the tiles can be reused after each launch. There is only a 0.10 probability that the outermost coating fails, and a 0.018 probability that the second layer will fail. Only if both of the coatings fail will the tiles need to be replaced. If both of the coatings are used, what is the probability that the tiles can be reused after each launch?
A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.97, and the probability that at least one if the two engines does so is 0.975 and the probability that both engine do so is 0.93. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
A local jam production company is confident that 60% of the population will like its new grapefruit jelly. If 200 persons taste the new grapefruit jelly, determine the number of persons who are expected to like it. From a random sample of 10 persons who tasted the new grapefruit jelly, calculate the probability that less than two will like it.
A biologist measured the lengths of 1000 cuckoo bird eggs. The results are summarized below: Length (in millimeters) 18.75- 19.75 19.75 - 20.75 20.75 -21.75 21.75 - 22.75 22.75- 23.75 23.75 - 24.75 24.75- 25.75 Percent of Eggs 0.8 4.0 17.3 37.9 28.5 10.7 0.8 a) What percent of the group of eggs was less than 21.75 mm long? b) What is the probability that one of the eggs selected at random was at least 20.75 mm long but less than 24.75 mm long?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

A transistor is chosen at random from the bin and put into use. If it does not immediately fail, what is the probability it is acceptable?