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.
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Answer:
x=3 y=4
Step-by-step explanation:
5(4)=20
4(3)= 12
20-12=8
4+3=7
B is the answer show that segments WX AND YZ have equal lengths
Probability helps us to know the chances of an event occurring. The probability being a Sophomore given she is a girl is 1/3.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.
The probability of being a girl and Sophomore is 9/37. While the probability of being a girl is 27/37. Therefore, the probability being a Sophomore given she is a girl is,
P(Girl l Sophomores) = P(Girl and Sophomore)/ P(Girl)
= (9/37) / (27/37)
= 9 / 27
= 1/3
Hence, the probability being a Sophomore given she is a girl is 1/3.
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