Using the binomial distribution, it is found that the expected values are given by:
a) 120.
b) 150.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>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
In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.
Item a:
4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.
The expected value is given by:
E(X) = 180 x 2/3 = 120.
Item b:
5 of the 6 values are less than 6, hence p = 5/6.
The expected value is given by:
E(X) = 180 x 5/6 = 150.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
<h2>y=7x-47</h2>
Step-by-step explanation:
Answer:
f(x) = -(x-4)² + 5
Step-by-step explanation:
f(x) = -(x-4)² + 5
Has a maximum vertex at (4,5)
Which means the function has a greatest value of 5 at x = 4
Therefore the range is:
y《5
Answer:0=12
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
3x-7=3x-5
Combine like terms:
3x-3x=7+5
0=12
