Your friend is about to begin an introductory chemistry course at his university. The course has collected data from students on their study habits for many years, and the professor reports that study times (in hours) for the final exam closely follow a normal distribution with mean 24 and standard deviation 4. What percentage of students study 34 hours or more

The percentage of students who study 34 hours or more will be 0.0062 or 0.62%.

Given information:

The chemistry course has collected data from students on their study habits for many years, and the professor reports that study times (in hours) for the final exam closely follow a normal distribution.

The mean of the data is .

The standard deviation of the distribution is

It is required to calculate the percentage of students who study 34 hours or more.

So, the value of X will be greater than or equal to 34 ().

Now, we will calculate the probability of students who study 34 hours or more using the normal distribution curve or table.

Use the value of mean as 34, standard deviation as 4, and . Cumulative probability is required to be calculated.

So, from the calculator, the value of the required probability will be,

Therefore, the percentage of students who study 34 hours or more will be 0.0062 or 0.62%.

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The percentage of students sudy 34 hours or more is 0.62%

Step-by-step explanation:

The Normal Distribution

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%

3/6   and 9/18

step-by-step explanation:

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!