The lifetime of a certain brand of tires is approximately normally distributed, with a mean of...
The lifetime of a certain brand of tires is approximately normally distributed, with a mean of 45,000 miles and a standard deviation of 2,500 miles. The tires carry a warranty for 40,000 miles.(Show work please)
- What proportion of the tires will fail before the warranty period?
- What proportion of the tires will fail after the warranty expires, but before they have lasted for 41,000 miles?
- Suppose a sample of 100 randomly selected tires are tested, what is the probability that the mean of these 100 tires will be less than or equal to 40,000 miles?
- Explain why you answers to parts a and c are the same or different.
- In your opinion should management keep the warranty period at 40,000 miles or increase it (greater than 40K) or decrease it (less than 40K)? Explain
Homework Answers
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The lifetime of a certain brand of
tires is approximately normally distributed, with a mean of...
Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean...
Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74,000 miles and a standard deviation of o miles. These tires come with a 55,000-mile warranty. The manufacturer of the tires can adjust o during the production process, but the adjustment of o is quite costly. The manufacturer wants to set o once and for all so that only 1% of the tires will fail before warranty expires. Find the standard deviation to...
The lifetime of a certain brand of tires is normally distributed. The average lifetime of a...
The lifetime of a certain brand of tires is normally distributed. The average lifetime of a tire is 50,000 miles with a lifetime standard deviation of 8,400 miles. The probability that a randomly selected tire will last less than 45,000 miles is Tables Keypad 10 Points Answer 0.2758 0.0000 0.7242 0.2257 The resting heart rate (bpm) for a given conditioned athlete is a uniformly distributed random variable ranging between 40 and 60 bpm (beats per minute). What is the probability...
The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed...
The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean =μ39 and standard deviation =σ5. (a) What is the probability that a randomly chosen tire has a lifetime greater than 47 thousand miles? (b) What proportion of tires have lifetimes between 38 and 43 thousand miles? (c) What proportion of tires have lifetimes less than 44 thousand miles? Round the answers to at least four decimal places.
2.A tire manufacturer claims that the lifetime of its tires are normally distributed with a mean...
2.A tire manufacturer claims that the lifetime of its tires are normally distributed with a mean of m = 34,000 miles and a standard deviation of σ = 1200 miles. A trucking firm using these tires suspects that the mean lifetime is less than 34,000 miles. To test the claim, the firm randomly selects and tests 54 of these tires and gets a mean lifetime of 33,390 miles. Use a significance level of a = 0.05 to test the trucking...
A manufacturer produces tires. The lifetime of the tires is normally distributed with a mean of...
A manufacturer produces tires. The lifetime of the tires is normally distributed with a mean of 25,000 miles and a standard deviation of 2,000 miles. What percent of the tires can be expected to last between 25,000 miles and 28,500 miles?
2) A trucking firm suspects that the mean lifetime of a certain tire it uses is...
2) A trucking firm suspects that the mean lifetime of a certain tire it uses is less than 40,000 miles. To check the claim, the firm randomly selects and tests 54 of these tires and gets a mean lifetime of 39,460 miles with a population standard deviation of 1200 miles. At = 0.05, test the trucking firm’s claim.
Show all work S. The tread life a certain brand of tires is known to be...
Show all work
S. The tread life a certain brand of tires is known to be normally distributed with a mean of 50,000 miles and a standard deviation of 4,500 miles a) Determine the probability that a randomly selected tire will last longer than 62,000 miles ANSWER b) The company wishes to set the warranty so that warranty mileage be? only 3% of the tires will need to be replaced, what should the ANSWER
8. Tires become illegal when their tread depths fall below a certain value. A particular brand...
8. Tires become illegal when their tread depths fall below a certain value. A particular brand and model of tire has lifespans (number of miles that can be driven before they become illegal) that are approximately normal in distribution with mean 34,000 miles and standard deviation 3,800 miles. Use this information (and tables as needed) to answer parts a-c below. a) Determine the probability that a single tire, selected at random, has a lifespan of between 30,000 and 40,000 miles....
A tire company finds the lifespan for one brand of its tires is normally distributed with...
A tire company finds the lifespan for one brand of its tires is normally distributed with a mean of 48,400 miles and a standard deviation of 5,000 miles. Find the probability of a tire lasting more than 57,000 miles.
The lifetime of a particular type of light bulb are approximately normally distributed with a mean...
The lifetime of a particular type of light bulb are approximately normally distributed with a mean of 1200 hours and a standard deviation of 140 hours. At what number of hours should the warranty lifetime be set so that only 2% of bulbs must be replaced under warranty?
Suppose that the lifetimes of tires of a certain brand are normally distributed with a mean of 74,000 miles and a standard deviation of o miles. These tires come with a 55,000-mile warranty. The manufacturer of the tires can adjust o during the production process, but the adjustment of o is quite costly. The manufacturer wants to set o once and for all so that only 1% of the tires will fail before warranty expires. Find the standard deviation to...
The lifetime of a certain brand of tires is normally distributed. The average lifetime of a tire is 50,000 miles with a lifetime standard deviation of 8,400 miles. The probability that a randomly selected tire will last less than 45,000 miles is Tables Keypad 10 Points Answer 0.2758 0.0000 0.7242 0.2257 The resting heart rate (bpm) for a given conditioned athlete is a uniformly distributed random variable ranging between 40 and 60 bpm (beats per minute). What is the probability...
Show all work
S. The tread life a certain brand of tires is known to be normally distributed with a mean of 50,000 miles and a standard deviation of 4,500 miles a) Determine the probability that a randomly selected tire will last longer than 62,000 miles ANSWER b) The company wishes to set the warranty so that warranty mileage be? only 3% of the tires will need to be replaced, what should the ANSWER
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