Question 13 of 21
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Answer:
<em>The percentage of students sudy 34 hours or more is 0.62%</em>
Step-by-step explanation:
<u>The Normal Distribution</u>
The bell curve or normal distribution is frequently used to model the probability of natural random events. The normal distribution is characterized by two parameters:
is the mean value
is the standard deviation
The study times in hours for the final exam is modeled as a normal distribution N(24,4). We are required to find the percentage of students study 34 hours or more, or P(X>34).
The values for the cumulative probability are given by tables or digital means like Excel where we can get the left-tail or P(X<Xo). To compute the right-tail or P(X>Xo) we use this relation
The Excel formula to find the left-tail cumulative probability is called
NORM.DIST(x,mean,standard_dev,cumulative)
To solve the question, we used:
NORM.DIST(34,24,4,TRUE)=0.9938
Thus:
The percentage of students study 34 hours or more is 0.62%