Answer:
Well, if <em>y </em>is 1
Then the equation would be y = 1 (2x)
So, depending on the answer options. Y would be double of whatever the X value is.
See how 1 X value is worth 2 Y?
Example Attached
Select all the proper fractions.
1 answer:
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Answer:
99.74% probability that the sample proportion will be less than 0.1
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
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
What is the probability that the sample proportion will be less than 0.1
This is the pvalue of Z when X = 0.1*276 = 27.6. So
has a pvalue of 0.9974
99.74% probability that the sample proportion will be less than 0.1
Answer:
Step-by-step explanation:
Given:
Let's distribute the parenthesis
Let's subtract from both sides
Let's add to both sides
Now, let's divide both sides by to get
alone
Hope this is helpful