Using the binomial distribution, it is found that the mean and the standard deviation of variable x are given as follows:
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
In this problem, we have that the parameters are given as follows:
n = 4, p = 0.75.
Hence the mean and the standard deviation are given as follows:
- E(X) = np = 4 x 0.75 = 3.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Only the third one makes x=-1 true
245 x 0.45 = 110.25
110.25 is your answer
hope this helps
Answer:
Step-by-step explanation:
Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.
A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since 
and 
are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:
Answer:
24 - 24 = 0 (carols age past tense)
24 x 4 = 96
96 - 24 = 72 (present tense)
carol is now 72 yr
