Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she
2 answers:
You might be interested in
Answer:
35.2% probability that the sample mean will be 246 pages or more
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
What the probability that the sample mean will be 246 pages or more?
This is 1 subtracted by the pvalue of Z when X = 246. So
By the Central Limit Theorem
has a pvalue of 0.6480.
1 - 0.6480 = 0.3520
35.2% probability that the sample mean will be 246 pages or more
<em><u>Question:</u></em>
Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.
The complete figure of this question is attached below
<em><u>Answer:</u></em>
<h3>The perimeter of the quadrilateral is 129 inches</h3><em><u>Solution:</u></em>
The complete figure of this question is attached below
Given that, a quadrilateral with,
Side lengths are:
The values of the side lengths when x = 2 are
Perimeter of a quadrilateral = Sum of its sides
Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches
Thus perimeter of the quadrilateral is 129 inches
