Analyze Relationships Julio and Jake reading assignments the same day Jake is reading a 168-page book at a rate of 24 pages per
day. Julio's book is 180 pages and his reading rate is 14 times Jake's rate. After 5 days, who will have more pages left to read? How many more? Explain your reasoning.
1 answer:
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Answer:
96.49% probability that the mean rent is more than $1100
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 problem, we have that:
What is the probability that the mean rent is more than $1100?
This is 1 subtracted by the pvalue of Z when X = 1100. So
By the Central Limit Theorem
has a pvalue of 0.0351
1 - 0.0351 = 0.9649
96.49% probability that the mean rent is more than $1100
In order to write 
as a percentage, we must first convert the fraction into a decimal. We can do that simply by dividing.
35 / 20 = 1.75
In order to convert a fraction to a decimal, we must multiply it by 100
1.75 * 100 = 175%
as a percentage is 175%.
Hope that helped =)
35 / 20 = 1.75
In order to convert a fraction to a decimal, we must multiply it by 100
1.75 * 100 = 175%
Hope that helped =)