It is known that there is a probability of 0.02 that an electronic component producedby a certain manufacturer is defective. A supplier buys the components in packagesof 10 from the manufacturer. The supplier will return the package if there is morethan one defective in it. Assuming that defectiveness of a component in independentof the other components in the box, what is the probability that a boxwill be returned?0.09140.00430.01620.0027

Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Answered: It is known that there is a probability…

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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A specific article is produced by machines M1, M2, M3 and M4. The probability that a random articleis produced by M1, M2 and M3 is 0.2, 0.3 and 0.1 respectively. The probability for each machine to producedefective articles is given as M1 = 0.03, M2 = 0.02, M3 = 0.04 and M4 = 0.01. What is the probability that arandom article was made by M4, given that it is non-defective?
Suppose there is a 14.1% probability that a randomly selected person aged 30 years or older is a smoker. In addition, there is a 25.4% probability that a randomly selected person aged 30 years or older is male, given that he or she smokes. What is the probability that a randomly selected person aged 30 years or older is male and smokes? ea PPO Fir The probability that a randomly selected person aged 30 years or older is male and smokes is (Round to three decimal places as needed.). ja ai ee lin
The probability that I park my car in a garage on Monday is .3. The probability that I park my car in a garage onTuesday is .25. If parking my car in a garage on Tuesday is independent of my parking my car in a garage onMonday, what is the probability that I neither park my car in a garage on Monday nor on Tuesday?
Suppose that whether it rains in a certain city tomorrow depends on the weather conditions for today and yesterday. Climate data shows the following: If it rained yesterday and today, then it will rain tomorrow with probability 0.52. If it rained yesterday but not today, then it will rain tomorrow with probability 0.24. If it rained today but not yesterday, then it will rain tomorrow with probability 0.43. If it did not rain yesterday and today, then it will rain tomorrow with probability 0.34. Over the course of a year, about how many days in the city are rainy according to the model? The transition matrix for this Markov chain is given below. P= 0.52 0 0.43 0 0.48 0 0.57 0 0 0.24 0 0.34 0 0.76 0 0.66 O Over the course of a year, there are about rainy days. (Round to the nearest day as needed.)
Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two 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?
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 company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.08. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 17-year period. 21. A company prices its tornado insurance using the following assumptions:• In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.08. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year.Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 17-year period. 22. Mrs. Bothe filled out a bracket for the NCAA National Tournament. Based on her knowledge of college basketball, she has a 0.52 probability…
A company prices its tornado insurance using the following assumptions: • In any calendar year, there can be at most one tornado. • In any calendar year, the probability of a tornado is 0.07. • The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 2 tornadoes in 15-year
solve it correctly with full explanation.
1. Twelve electric bulbs are drawn independently every hour from a production line at a factory. The number of defective bulbs are random and independent. Suppose that the probability that a bulb is defective is 0.06. a. What is the probability that less than two bulbs are defective? b. What is the probability that three bulbs tested are the second defective bulbs detected?
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.95 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes. (a) Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods. = (b) What is the probability that in the long run the traffic will not be in the delay state? (Enter your probabilities as fractions.) No Traffic Delay Traffic Delay π 1 =…
2. Suppose you are at a birthday party with n other people. How large must n be to ensure that the probability that you share your birthday with at least one other person is greater than 1/2?

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