Out of the 32 students in Mr. Martin’s class, 18 are boys. If this ratio is proportional to the ratio of students in the school
and the number of boys in the school, which of the following proportions could could be used to find the number of students in the school? It is given that there are 468 boys in the school.
2 answers:
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The Expected value of XX is 1.00.
Given that a box contains 8 cameras and that 4 of them are defective and 2 cameras is selected at random with replacement.
The probability distribution of the hypergeometric is as follows:
Where x is the success in the sample of n trails, N represents the total population, n represents the random sample from the total population and M represents the success in the population.
The probability distribution for X is obtained as below:
From the given information, let X be a random variable, that denotes the number of defective cameras following hypergeometric distribution.
Here, M = 4, n=2 and N=8
The probability distribution of X is obtained below:
The probability distribution of X is,
The probability distribution of X when X=0 is
The probability distribution of X when X=1 is
The probability distribution of X when X=2 is
Use E(X)=∑xP(x) to find the expected values of a random variable X.
The expected values of a random variable X is obtained as shown below:
The expected value of X is,
E(X)=∑xP(x-X)
E(X)=[(0×0.21)+(1×0.57)+(2×0.21)]
E(X)=[0+0.57+0.42]
E(X)=0.99≈1
Hence, the binomial probability distribution of XX when X=0 is 0.21, when X=1 is 0.57 and when X=2 is 0.21 and the expected value of XX is 1.00.
Learn about Binomial probability distribution from here brainly.com/question/10559687
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