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orose6395
28.08.2019 •
Mathematics
The probability that an individual has 20-20 vision is 0.19. in a class of 40 students, what is the mean and standard deviation of the number with 20-20 vision in the class? round to the nearest thousandth.
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Ответ:
7.6, 2.4211
Step-by-step explanation:
Given that the probability that an individual has 20-20 vision is 0.19.
No of class students =n=40
p = 0.19 and q = 1-0.19 = 0.81
Since each student is independent of the other and there are two outcomes either 20-20 vision or no, we find that X the no of students having 20-20 vision is binomial with n =40 and p = 0.19
Mean![= E(X) = np =\\40(0.19)\\=7.6](/tpl/images/0204/0615/8e980.png)
Variance of X = npq =![40(0.19)(0.81) = 6.156\\](/tpl/images/0204/0615/86373.png)
Std deviation = square root of variance =2.4811
Ответ:
The expression (3n-2)(4n+1) can be factored with the Distributive Property. It cannot be factored with a Least Common Multiple (LCM), for instance, because the terms within each set of parentheses are completely simplified.
Step-by-step explanation:
Part I
.![1. (3n-2)(4n+1)\\2. F.O.I.L.: 12n^2+3n-8n-2\\3. Simplify: 12n^2-5n-2\\](/tpl/images/1176/8561/9ed32.png)
Good luck to you!