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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Answer:
Step-by-step explanation:
-3x -2 = 19
+3x +3x
-2 = 19 + 3x
-19 -19
-21 = 3x
Divided by 3
-7 = x
Answer:
x/-9 = -16 ; 144
Step-by-step explanation:
x is the variable for "a number". It is being divided by -9, so x must be divided by -9. The number divided by -9 equals -16, so -16 must go on the other side of the equation. To solve, multiply both sides by -9 to cancel out the fraction and isolate the variable.
Answer:
They spent $15.
Step-by-step explanation:
It's given that Jane bought x cookies, so 3x.
John spent $1 on each of the x cookies he got, and also an extra $10, so x+10.
3x=x+10
2x=10
x=5
So they got 5 cookies each.
5 cookies x $3= $15 (check with $5(1)+$10= $5+$10= $15 )
Answer:
Answer is below
Step-by-step explanation:
Yes, the graph would still be a function, but a different function than if the values were all different. This would cause two of the values to be the same and have no slope on the line. Before, the function was quadratic, but now it would be quadratic until the two values are equal.
