50% increase followed by a 33 1/3% decrease
2 answers:
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Answer:
The probability that <em>X</em> is less than 42 is 0.1271.
Step-by-step explanation:
The random variable <em>X </em>follows a Normal distribution.
The mean and standard deviation are:
E (X) = <em>μ</em> = 50.
SD (X) = <em>σ</em> = 7.
A normal distribution is continuous probability distribution.
The Normal probability distribution with mean µ and standard deviation σ is given by,
To compute the probability of a Normal random variable we first standardize the raw score.
The raw scores are standardized using the formula:
These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.
Compute the probability of (X < 42) as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that <em>X</em> is less than 42 is 0.1271.
The normal curve is shown below.
Hey!
To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.
<em>Original Equation :</em>
<em>New Equation {Added Subtract
to Both Sides} :</em>
<em>Solution {New Equation Solved} :</em>
<em>So, this means that in the equation provided</em>,.
Hope this helps!
- Lindsey Frazier ♥
To solve this problem, we must subtract one over three from both sides of the equation. This will give us x on its own.
<em>Original Equation :</em>
<em>New Equation {Added Subtract
<em>Solution {New Equation Solved} :</em>
<em>So, this means that in the equation provided</em>,
Hope this helps!
- Lindsey Frazier ♥