For a moment, let 
. Then by the distributive property,
Again by the distributive property,
Taking everything together, we get
Again by the distributive property,
Taking everything together, we get
What is the value of the expression below
1 answer:
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Answer:
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
The probability in favor of the regulation based on the recent survey is:
Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:
The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
<h3>What is histogram?</h3>A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.
In the problem, the data given as,
- In the attached image below, the histogram and box plot is shown for the ages of Elizabeth's Grandchildren and their frequency.
- In the 3rd and 4the bar of histogram, the data is jumped from 14 to 20 instead of 15.
- The frequency distribution in histogram for this data is inconsistent.
- This inconsistency brought the between the two graphs.
Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.
Learn more about the histogram here;
