The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.1
Ivan
Answer:
0.6 probability that ![-2 \leq x \leq 2](https://tex.z-dn.net/?f=-2%20%5Cleq%20x%20%5Cleq%202)
Step-by-step explanation:
The probability distribution is given in the table.
Probability that x is between -2 and 2.
Between -2 and 2, inclusive, we have -2, 0 and 2. So
![P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2)](https://tex.z-dn.net/?f=P%28-2%20%5Cleq%20x%20%5Cleq%202%29%20%3D%20P%28X%20%3D%20-2%29%20%2B%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%202%29)
From the table:
. So
![P(-2 \leq x \leq 2) = P(X = -2) + P(X = 0) + P(X = 2) = 0.33 + 0.16 + 0.11 = 0.60](https://tex.z-dn.net/?f=P%28-2%20%5Cleq%20x%20%5Cleq%202%29%20%3D%20P%28X%20%3D%20-2%29%20%2B%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%202%29%20%3D%200.33%20%2B%200.16%20%2B%200.11%20%3D%200.60)
0.6 probability that ![-2 \leq x \leq 2](https://tex.z-dn.net/?f=-2%20%5Cleq%20x%20%5Cleq%202)
Answer:
6.5in
Step-by-step explanation:
find the area of the shaded regions
fine the surface area of the square
A = 2×2
A = 4
find the area of the triangle
A = 1/2bh
A = 1/2×2×2.5
A = 2.5
add the areas
2.5+4 = 6.5
Answer:
144 cubic inches
Step-by-step explanation:
a=lxwxh a=6*6*4
Answer:
28
Step-by-step explanation:
The binomial coefficient is calculated as:
![nCx=\frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=nCx%3D%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
It means that there are nCx ways to select x elements from a group of n elements.
So, If the researcher wants to determine the probability that 6 out of the next 8 individuals in his community are in favor of the president, we can replace n by 8 and x by 6 and calculated the binomial coefficient as:
![8C6=\frac{8!}{6!(8-6)!}=28](https://tex.z-dn.net/?f=8C6%3D%5Cfrac%7B8%21%7D%7B6%21%288-6%29%21%7D%3D28)
You should definitely ask your parents or teacher. Also, never give up :)
Trust me just keep trying your best and don't tell yourself that you can't do it :)