The approximate areas of Georgia and Washington, D.C. are listed below: Georgia: 1.54 x 10^5 square kilometers Washington, D.C.:
1 answer:
You might be interested in
Given that the manufacturer recommends storing the batteries at temperatures ranging from -20 degrees celsius to 45 degrees celsius, you can identify that the minimum temperature they can be stored is:
And the maximum temperature they can be stored is:
Let be "T" the temperature (in degrees Fahrenheit) at which the batteries can be stored.
You need to convert the minimum and maximum temperature from Degrees Celsius to Degrees Fahrenheit using this formula:
Then, you get:
Therefore, you can write the following inequality to represents describe "T":
Hence, the answer is:
Answer:
39.36% probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than 0.17.
Step-by-step explanation:
For each couple, there are only two possible outcomes. Either they are mixed racially or ethnically, or they are not. This means that the binomial probability distribution is used to solve this problem.
However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be 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.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
When n = 100, what is the probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than 0.17?
This is 1 subtracted by the pvalue of Z when . So:
has a pvalue of 0.6064.
So there is a 1-0.6064 = 0.3936 = 39.36% probability that the proportion of couples in the sample who are racially or ethnically mixed will be greater than 0.17.