Q2: The number of failures of a testing instrument from contamination particles on theproduct is a Poisson random variable with a mean of 0.02 failures per hour.(a) What is the probability that the instrument does not fail in an 8-hour shift?(b) What is the probability of at least one failure in a 24-hour day?

GivenNo.of failures of a teting instrument from contamination particles onthe product with a mean of…

Answered: : The number of failures of a testing…

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

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure. Suppose the target tire pressure of a certain car is 30 psi (pounds per square inch.) (a) At what psi will the TPMS trigger a warning for this car? (Round your answer to 2 decimal place.) When the tire pressure is below 22.2 .psi. (b) Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning? (Round your answer to 4 decimal places.) Probability
(5) Solve the problem. A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If a random sample of 36 mechanics is selected, find the probability that their mean rebuild time exceeds 8.7 hours. Assume the mean rebuild time has a normal distribution. (Hint, interpolate in the tables or use pnorm().) O 0.129 0.135 O 0.195 O 0.159
In building materials laboratory, it has been observed that a failure proportion of concrete cubes in the compressive strength test is (0.03) for a particular project. By using Poisson Distribution, the probability will be (0.0158) when 10 samples exactly will fail in .the test out of 200 concrete cubes False True
Suppose a life insurance company sells a $170,000 1-year term life insurance policy to a 20-year-old female for $170. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. The expected value of this policy to the insurance company is $92.48. What is the standard deviation of the value of the life insurance policy? Why is the value so high?
This question: 1 Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 57 hours and a standard deviation of 3.5 hours. (a) What proportion of light bulbs will last more than 62 hours? (b) What proportion of light bulbs will last 51 hours or less? (c) What proportion of light bulbs will last between 59 and 62 hours? (d) What is the probability that a randomly selected light bulb lasts less than 45 hours? (a) The proportion of light bulbs that last more than 62 hours is. (Round to four decimal places as needed.) (b) The proportion of light bulbs that last 51 hours or less is (Round to four decimal places as needed.) (c) The proportion of light bulbs that lasts between 59 and 62 hours is (Round to four decimal places as needed.) (d) The probability that a randomly selected light bulbs lasts less than 45 hours is (Round to four decimal places as needed.) Ask my instructor Type here to search 立

9) The probability that a 2011 Audi A8 will be stolen is .0048. Find the odds against the theft of a 2011 Audi A8. Round your answer to the nearest whole number. Odds against a 2011 Audi being stolen is to 10) The probability that an international flight leaving the United States is delayed in departing (event D) is .35. The probability that an international flight leaving the United States is a transpacific flight (event P) is .40. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14. (a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.) Probability (b) In this problem, are D and P independent? No Yes 11) The fracture strength of a certain type of manufactured glass is normally distributed with a mean of 579 MPa with a standard deviation of 14 MPa. (a) What is the probability…
(a) In a manufacturing process, the diameter of steel rods is distributed normally with a mean value of 5 mm and standard deviation of 0.1 mm. If a rod is selected at random, what is the probability that its diameter will be: (i) less than 4.85 mm; (ii) between 4.9 mm and 5.1 mm? (b) A telephone exchange receives an average of 5 calls per minute. Calculate the probability that, in a given minute, the exchange receives: (i) exactly 5 calls; (ii) 2 calls or fewer.
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u 278 days and standard deviation o 16 days. (a) What proportion of pregnancies lasts more than 290 days? (b) What proportion of pregnancies lasts between 274 and 286 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 258 days? (d) A "very preterm" baby is one whose gestation period is less than 254 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 290 days is (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 274 and 286 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 258 days is (Round to four decimal places as needed.) (d) The probability of a "very preterm" baby is This event unusual because the probability is than 0.05 (Round to four decimal places as needed.) Enter your answer in each of…
(A), (B) and (C). Please!
A machine produces small rods and large rods. The diameters of small rods are normally distributed with mean 2 cm and standard deviation 0.12 cm. The diameters of large rods are normally distributed with mean 2.2 cm and standard deviation 0.15 cm. (i) Find the probability that a randomly chosen small rod has diameter greater than 2.15 cm. (ii) A box contains one small rod and one large rod. Find the probability that at least one of the rods has diameter greater than 2.15 cm.
The demand for a replacement part is a random variable having a Poisson probability distribution with a mean of 4.7. If there are 6 replacement parts in stock, what is the probability of a stock-out(i.e., demand exceeding quantity on hand)?
Where am I going wrong?

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