Which is a true statement about the dot plot?
2 answers:
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The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.
<h3>What are exponential forms?</h3>The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.
<u>For example:</u>
If we have a*a*a*a, it can be written in exponential form as:
=a^4
where
- a is the base, and
- 4 is the power.
The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.
From the information given:
We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:
Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.
Learn more about exponential forms here:
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Answer:
a)
b)
c)
And the variance is given by:
And the deviation would be
And the variance is given by:
And the deviation would be
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
Part a
For this case we have the following info:
B 0 1 2 3
____________________________________
T 10 20 30 40
____________________________________
P 0.3 0.5 0.15 0.05
____________________________________
And we can calculate the expected value for the random variable B like this:
Part b
Similar to part a we can find the expected value for the random variable T like this:
Part c
In order to find the variance for B we need to calculate the second moment given by:
And the variance is given by:
And the deviation would be
Similar for the random variable T we have:
And the variance is given by:
And the deviation would be