5/0 UNDEFINED... The answer is a vertical line.
Answer:
A) p(male)=20/30=2/3
b) p(female) = 10/30=1/3
c) p(11th grade) = 12/30=2/5
d) p(12th grade) = 18/30 = 3/5
e) p( girl and in 11th grade) =4/30=2/15
F) p(12 th grade and female) = 6/30 = 1/5
g) p(male and in 12th grade) = 12/30 = 2/5
h) p(male and if we know the student is female) = 0 if we know the student is male then she can't be male again. these are mutuallyinclusive event and they can't occur at once.FOR more details and solutions,clarification and more explanation contact me via my g mail at [email protected] and I will keep in touch....please leave your comment in thisg mail which is my tutor g mail account please.
Answer:
(a) The value of P (X = 2) is 0.3571.
(b) The value of P (X ≤ 1) is 0.5952.
Step-by-step explanation:
A Hypergeometric distribution is used to describe the probability distribution of <em>x</em> successes in <em>n</em> random draws from a population of size <em>N </em>that contains exactly <em>r</em> items that are considered as success. In this distribution each draw results in either a success or a failure.
The probability mass function of Hypergeometric distribution is:
![P(X=x)=\frac{{r\choose x}{N-r\choose n-x}}{{N\choose n}}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cfrac%7B%7Br%5Cchoose%20x%7D%7BN-r%5Cchoose%20n-x%7D%7D%7B%7BN%5Cchoose%20n%7D%7D)
Given:
N = 9
r = 3
n = 4
(a)
Compute the value of P (X = 2) as follows:
![P(X=2)=\frac{{3\choose 2}{9-3\choose 4-2}}{{9\choose 4}}=\frac{3\times 15}{126}=0.3571](https://tex.z-dn.net/?f=P%28X%3D2%29%3D%5Cfrac%7B%7B3%5Cchoose%202%7D%7B9-3%5Cchoose%204-2%7D%7D%7B%7B9%5Cchoose%204%7D%7D%3D%5Cfrac%7B3%5Ctimes%2015%7D%7B126%7D%3D0.3571)
Thus, the value of P (X = 2) is 0.3571.
(b)
Compute the value of P (X ≤ 1) as follows:
P (X ≤ 1) = P (X = 0) + P (X = 1)
![=\frac{{3\choose 0}{9-3\choose 4-0}}{{9\choose 4}}+\frac{{3\choose 1}{9-3\choose 4-1}}{{9\choose 4}}\\=0.1190+0.4762\\=0.5952](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%7B3%5Cchoose%200%7D%7B9-3%5Cchoose%204-0%7D%7D%7B%7B9%5Cchoose%204%7D%7D%2B%5Cfrac%7B%7B3%5Cchoose%201%7D%7B9-3%5Cchoose%204-1%7D%7D%7B%7B9%5Cchoose%204%7D%7D%5C%5C%3D0.1190%2B0.4762%5C%5C%3D0.5952)
Thus, the value of P (X ≤ 1) is 0.5952.
Answer:
10-2=7
Step-by-step explanation:
you first start with the x-2 and it says x= 10 so you put the x as 10 so it makes 10-2 which is 7.