Mathematics, 06.01.2021 02:00 shahedraed82

A fuel injection system is designed to last 18 years, with a standard deviation of 1.4 years. What is the probability that a fuel injection system will last less than 15 years? 25% 33% 2% 20%

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Answer from: Axe15x

Using the normal distribution, it is found that there is a 2% probability that a fuel injection system will last less than 15 years.

Normal Probability Distribution

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 18 years, hence $\mu = 18$ .The standard deviation is of 1.4 years, hence $\sigma = 1.4$ .

The probability that a fuel injection system will last less than 15 years is 1 subtracted by the p-value of Z when X = 15, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{15 - 18}{1.4}$

Z = -2.14

Z = -2.14 has a p-value of 0.02.

0.02 = 2% probability that a fuel injection system will last less than 15 years.

To learn more about the normal distribution, you can take a look at link

A fuel injection system is designed to last 18 years, with a standard deviation of 1.4 years. What i

Answer from: niyawilliams23

Step-by-step explanation:

We are given;

Standard Design mean; μ = 18

Sample design mean; x¯ = 15

Standard Standaed deviation; σ = 1.4

Let's find the test statistic from the formula;

z = (x¯ - μ)/σ

Thus;

z = (15 - 18)/1.4

z = -2.14

From the z-table attached, the p-value at z = -2.14 is 0.01618

Thus,

P(X < 15) = 0.01618

Converting to percentage, we have

P(X < 15) = 1.618%

This is approximately 2%

Answer from: Quest

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

= $\sqrt{(9-6)^{2} +(12-6)^{2} } \\=\sqrt(45)=3\sqrt(5)$

side j'k'=distance between j' and k'

= $\sqrt{(3-2)^{2} +(2-4)^{2} } \\=sqrt(5)$

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

Answer from: Quest

answer by yourhope:

hi! : )

a farmer that lived in ancient egypt would most likely be barried in the sand, in the desert!

: )

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A fuel injection system is designed to last 18 years, with a standard deviation of 1.4 years. What i...