Please I need answer right now pleasssseeeonly CC. -3×(-2/3)²
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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.
The sum of all the measurements is just the average times the number.
So if the average of all 92 is 7 the sum of those is
The average of the last two is 7.2 so their sum is
That means the sum of the first 90 is
so the average of the first 90 is
cm
So if the average of all 92 is 7 the sum of those is
The average of the last two is 7.2 so their sum is
That means the sum of the first 90 is
so the average of the first 90 is