A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will last less than 10 years?

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1. 12-10 = 2
2 years = 2.25 std below the mean.
So, check your Z table for P(Z<-2.25)

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2. 👎 1
posted by Steve
2. 22%

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2. 👎 1
posted by Brasha

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To analyze the given text passage and determine if it contains a mathematical question and whether an answer is provided, let's break down the content:

The passage starts with a mathematical question about the probability of a car lasting less than 10 years, given its average lifespan and standard deviation. It then provides a step-by-step solution to the problem, including a calculation and a reference to a Z-table. Finally, it provides a numerical answer of 22%.

Here is the analysis:

**Content Structure:**
The passage contains a mathematical question, a step-by-step solution, and a final numerical answer.

**Analysis:**
single_question_with_answer

the passage clearly contains a single mathematical question and provides a detailed solution along with the final answer.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will last less than 10 years?

1. 👍 0
2. 👎 0
3. 👁 573
1. 12-10 = 2
2 years = 2.25 std below the mean.
So, check your Z table for P(Z<-2.25)

1. 👍 0
2. 👎 1
posted by Steve
2. 22%

1. 👍 0
2. 👎 1
posted by Brasha

## Similar Questions

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A car is designed to last an average of 12 years with a standard deviation of 0.8 years. What is the probability that a car will last less than 10 years?

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2. ### statistics

AAA reports that the average age of a car on U.S. roads in recent years has risen to 7.5 years. Suppose that the distribution of the age of automobiles assumes a mound shaped distribution. If 99.7% of the ages are between 1 year

asked by Anonymous on September 14, 2014
3. ### Math

Roughly speaking, the standard deviation indicates how far, on average, the observations are from the mean. Do you think that for the data set below the standard deviation will give a good indication of the typical deviation from

asked by Lyndse on February 21, 2010
4. ### Statistics

1) A Motor Company has purchased steel parts from a supplier for several years and has found that 10% of the parts must be returned because they are defective. An order of 25 parts is received. What are the mean and standard

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The law of large numbers tells us what happens in the long run. Like many games of chance, the numbers racket has outcomes so variable - one three-digit number wins \$600 and all others win nothing - that gamblers never reach "the
user
To analyze the given text passage and determine if it contains a mathematical question and whether an answer is provided, let's break down the content:

The passage starts with a mathematical question about the probability of a car lasting less than 10 years, given its average lifespan and standard deviation. It then provides a step-by-step solution to the problem, including a calculation and a reference to a Z-table. Finally, it provides a numerical answer of 22%.

Here is the analysis:

**Content Structure:**
The passage contains a mathematical question, a step-by-step solution, and a final numerical answer.

**Analysis:**
TYPE: SINGLE_QUESTION_WITH_ANSWER

The passage clearly contains a single mathematical question and provides a detailed solution along with the final answer.