A manufacturing company in London produces a specific type of condenser. The condenser is sold with a conditionthat guarantees it will be replaced with the new one, free of charge if it breaks down in the first 13.000 workinghours. On average, the condensers work for 16.000 hours with a standard deviation of 2.550 hours before failing.The number of working hours before failure is approximately normally distributed. What is the probability that acondenser will have to be replaced free of charge? b. What percentage of condensers can be expected to work formore than 21.100 hours? c. If the company wants to design a condenser so that no more than 1% are replacedfree of charge, what would the average hours of operation before failure have to be if the standard deviationremains at 2.550 hours?|

Answered: Image /qna-images/answer/4d0b7c97-5040-4cf4-abae-1b37bc07b5c3.jpg

Answered: The number of working hours before…

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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Suppose you must take the bus to school. The probability that you will have to wait for the bus is 0.25. If you don’t have to wait for the bus the commute takes 20 minutes, but if you must wait for the bus, the commute takes 30 minutes. Blank 1 a. What is the expected value of the time it takes you to commute to school? Blank 2 b. Find the standard deviation. Express your answers in 2 decimal places.
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation of 0.2 feet. A sample of 41 men’s step lengths is taken. Step 2 of 2 : Find the probability that the mean of the sample taken is less than 2.2 feet. Round your answer to 4 decimal places, if necessary.
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.8 feet and a standard deviation of 0.4 feet. A sample of 74 men’s step lengths is taken. Step 1 of 2: Find the probability that an individual man’s step length is less than 2.3 feet. Round your answer to 4 decimal places, if necessary
I'm having a hard time on this question. A single toss of a fair coin results in either 0 or 1 head, each with probability 1/2. Define H = number of heads obtained on a single toss. The mean of H is = 0.5 And the standard deviation of H is = 0.5. Suppose you toss a fair coin four times. Define T = total number of heads obtained. Find the mean and standard deviation of T.
The results of a national survey showed that on average, adults sleep 6.9 hours per night. Suppose that the standard deviation is 1.2 hours. a. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 4.5 and 9.3hours. b. Use Chebyshev's theorem to calculate the percentage of individuals who sleep between 3.9 and 9.9 hours. c. Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 4.5 and 9.3hours per day. How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)?
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.7 feet and a standard deviation of 0.3 feet. A sample of 70 men’s step lengths is taken. Step 2 of 2 : Find the probability that the mean of the sample taken is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.
Ee.79. Suppose that a car races down a ¼-mile drag strip several times and that it takes an average of 11.4 s to do so. If the standard deviation is σ=0.2 s, what fraction (or percent) of the measurements would you expect to be between 11.3 s and 11.5 s?
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.3 feet. A sample of 59 men's step lengths is taken. Step 1 of 2: Find the probability that an individual man's step length is less than 2.3 feet. Round your answer to 4 decimal places, if necessary.
Assume that adults have IQ scores that are normally distributed with a mean of u =100 and a standard deviation o = 15. Find the probability that a randomly selected adult has an IQ less than 115. Click to view page 1 of the table. Click to view page 2 of the table. The probability that a randomly selected adult has an IQ less than 115 is (Type an integer or decimal rounded to four decimal places as needed.)
Suppose that the amount of protein in certain type of energy bar is Normally Distributed with a mean of 8.1 grams with a standard deviation of 0.64 grams. Suppose that a random bar of this type is selected. c. Find the probability that a bar has less than 8.9 grams of protein. d. Find the 90th percentile of the grams of protein in these bars. e. Find the values v and w such that the middle 90% of protein amounts fall between v and w
Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 116 and 130? 1. 47.5% 2. 34.% 3. 68% 4. 81.5% 5. 13.5 6. 95%
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.32 feet and a standard deviation of 0.40 feet. A sample of 83 men’s step lengths is taken. Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.1 feet. Round your answer to 4 decimal places, if necessary.

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