The expected values of the binomial distribution are given as follows:
1. 214.
2. 21.
3. 31.
<h3>What is the binomial probability distribution?</h3>
It is the <u>probability of exactly 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
For item 1, the parameters are:
p = 3/7, n = 500.
Hence the expected value is:
E(X) = np = 500 x 3/7 = 1500/7 = 214.
For item 2, the parameters are:
p = 0.083, n = 250.
Hence the expected value is:
E(X) = np = 250 x 0.083 = 21.
For item 3, the parameters are:
p = 1/13, n = 400.
Hence the expected value is:
E(X) = np = 400 x 1/13 = 31.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Step-by-step explanation:
ques un culo y un na choca
1. y+5=-x-5
2. y=-x-5-5
3.y=-x-10
4. y=x-10
_______________________
1. distribute negative sign
2. move the constant to the right and change the sign
3. -5-5 equals -10, bring everything down
4. change the sign of the x to positive, the equation is in standard form
Answer:
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Step-by-step explanation:
Given
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Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints
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Open bracket
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Next, determine the slope of the given endpoints.
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Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:
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In this case:
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So:
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Since the slope is
, the equation is:
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Where:
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Recall that:
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So:
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Hence, the equation is:
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