An automobile manufacturer produces production parts with 98% accuracy. What is the probability that in a production run of 25 p
1 answer:
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Answer:
y=[-4]x+[10]
Step-by-step explanation:
For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.
The slope turns into
and is then multiplied by -1 to become
which can be simplified down to:
Now that we know the slope we need the line to pass through a point, so we will use point slope form:
Substitute in our slope and point values:
Now solve for y:
Then you will find that line runs perpendicular to
and intersects point (2,2).
Answer:
Where the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean is given by:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where the mean and
the deviation
Since the distribution for X is normal then we can conclude that the distribution for the sample mean is given by: