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Neo
Neo, Bachelor's Degree
Category: Math Homework
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Probability and statistics Data collected from car dealers

This answer was rated:

probability and statisticsData collected from car dealers shows that oxygen sensors fitted to a popular model of
car from a major manufacturer are failing on average at 60000km. with a standard
deviation of 7000km. What is the probability that an oxygen sensor will fail before
40000km?

Good day!

Thank you for your question. I am gladly here to help.

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ANSWER:

The answer is 0.0021

I hope this helps.

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Customer: replied 1 year ago.
Hi,
Can I get a detailed solution step by step with explanation.

Z-score = (raw score - mean) / standard deviation

Z-score = (40,000 - 60,000) / 7,000

Z-score = -20,000 / 7,000

Z-score = -2.8571

Using Z-table, we got:

P(x<40000) = 0.0021

I hope this helps.

---

If you have any question or in need of any clarification about the answer, please let me know.

Please give 5-star rating using the panel at the top of this page.

You may request me anytime for your future questions by adding me as your favorite expert or by adding "For Neo" at the beginning of your new post.

Thank you so much for using JustAnswer!

Customer: replied 1 year ago.
There is also a diagram related with this solution
Kindly can you also provide it

Please click the link below to download.

Thank you so much!

Customer: replied 1 year ago.
But from what a table did you get the value from as I can’t find it?

From the Z-Table.

Please click the link below to download.

Thank you so much!

Customer: replied 1 year ago.
But then how did you get 0.0021 from?

Were you able to download the table I sent you?

Customer: replied 1 year ago.
Oh yes
But the table I have it has only positive values not negative

If you have only positive values, get the value of 2.86 and then, deduct it from 1.

The value of 2.86 is 0.9979

Thus, the value of -2.86 is 1 - 0.9979 = 0.0021

Customer: replied 1 year ago.
Value of 2.86 is 0.4979 according to my table

May I see?

Customer: replied 1 year ago.
File attached (LLG262Z)

This is only half the curve. Add 0.50 to the value you get.

Neo and other Math Homework Specialists are ready to help you
Customer: replied 1 year ago.
ok thanks