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2 answers:
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Answer:
<h2><em>y</em><em>=</em><em>-</em><em>4</em></h2><em>Sol</em><em>ution</em><em>,</em>
<em>X=</em><em>4</em>
<em>Now</em><em>,</em>
<em></em>
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good</em><em> </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>
Answer:
99.89% of students scored below 95 points.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What percent of students scored below 95 points?
This is the pvalue of Z when X = 95. So
has a pvalue of 0.9989.
99.89% of students scored below 95 points.