Brittany wants to make cookies for the whole fourth grade. One batch of dough makes 2 dozen cookies. There are 68th fourth grade
2 answers:
You might be interested in
Answer:
And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"
Step-by-step explanation:
1) Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
2) Calculate the z score
Let X the random variable that represent the number of text messages per month, and for this case we know the distribution for X is given by:
Where and
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And the explanation of this number is:"The number of text messages for Kendra it's 2.26 deviations above the mean"
Given function:
The minimum value of the function can be found by setting the first derivative of the function to zero.
Solving for x:
Substituting the value of x into the original function:
Hence, the minimum value in the given range is (-1, -0.368)