![xxtonixwilsonxx](/avatars/4592.jpg)
xxtonixwilsonxx
23.03.2020 •
Mathematics
A tire manufacturer warranties its tires to last at least 20,000 miles orâ "you get a new set ofâ tires." In itsâ experience, a set of these tires last on average 26,000 miles with SD 5,000 miles. Assume that the wear is normally distributed. The manufacturer profits â$200 on each setâ sold, and replacing a set costs the manufacturer â$400. Complete parts a through c.
(a) What is the probability that a set of tires wears out before 20,000 miles?
Solved
Show answers
More tips
- S Sport How to Do Push-ups Correctly?...
- S Style and Beauty How to Grow Hair Faster: Real Methods and Advice...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics How can the trend line equation be used to predict the cost of gas per gallon in the year 1992...
- M Mathematics 7. 60% of 90 find the percent of the quantity...
- M Mathematics If someone could give me the answers it would be very appreciated ❤️...
- M Mathematics The diagram below shows a scale drawing of an overpass bridge if the diagram uses a scale of 1 cm equal to 10ft what is the length of the actual bridge in feet?...
- M Mathematics Multiply each equation by a constant that would to eliminate the y terms. 2 x minus 5 y = negative 21. 3 x minus 3 y = negative 18. what are the resulting equations?...
- M Mathematics 4. the following table shows the number of survey respondents who completed each level of education. change each frequency to a relative frequency. complete the total...
- M Mathematics If the net force of 12 n is applied to an object with a mass of 2 kg the object will accelerate at a: .17ms2 b: 24ms2 c: 6ms2 d: 12ms2...
- M Mathematics 3.mr. smith s class sold wrapping paper for $ 3.50 each and mr. davis class sold magazines for $2.75 each. together, the classes sold 72 items and earned $222 for their...
- M Mathematics One gallon of gasoline in buffalo, new york costs 2.99. in toronto, canada, one liter of gasoline costs 0.91. there are 3.8 liters in one gallon....
- M Mathematics Dan returns $42.50 worth of merchandise and then buys 4 shirts for $7.84 each. how much money does dan have left?...
Ответ:
Probability that a set of tires wears out before 20,000 miles is 0.1151.
Step-by-step explanation:
We are given that a tire manufacturer warranties its tires to last at least 20,000 miles or "you get a new set of tires." In its past experience, a set of these tires last on average 26,000 miles with S.D. 5,000 miles. Assume that the wear is normally distributed.
Let X = wearing of tires
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z =
~ N(0,1)
where,
= average lasting of tires = 26,000 miles
So, probability that a set of tires wears out before 20,000 miles is given by = P(X < 20,000 miles)
P(X < 20,000) = P(
<
) = P(Z < -1.2) = 1 - P(Z
1.2)
= 1 - 0.88493 = 0.1151
Therefore, probability that a set of tires wears out before 20,000 miles is 0.1151.
Ответ: