Answer:
a) It is probability distribution
b) mean = 2.5
c) Standard Deviation = 1.11
Step-by-step explanation:
We are given the following in the question:
x 0 1 2 3 4 5
P(x) 0.033 0.149 0.318 0.318 0.149 0.033
Probability distribution:
Since, the summation of all the probabilities is 1 and each value of probability is between 0 and 1, the given is a probability distribution.
Mean of probability distribution:
Thus, the mean of distribution is 2.5
Standard deviation of probability distribution:
Thus, the standard deviation of the probability distribution is 1.11
Answer:
Step-by-step explanation:
Distance Formula: 
Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:
Answer:
6
Step-by-step explanation:
6
Answer:
x=11
Step-by-step explanation:
(x-3)/2=(x+1)/3
multiply (x-3)(3) and 2(x+1)
3(x-3)=2(x+1)
3x-9=2x+2
Get the variables on one side and numbers on another
3x-2x=3+9
x=11
Answer:
(-5, -2)
Step-by-step explanation:
3x+4y=-23
x=3y+1
since we have what x is, we need to subsitute
3( 3y+1) + 4y= -23
no we need to multiply the number inside the parenthesis by 3
9y + 3 + 4y= -23
combine like terms ( add the numbers or variables that look alike)
9y+4y is 13y
13y+3= -23
since we need to get the y alone we need to subtract 3 on both sides since its the opposite of adding
13y+3-3=-23-3
13y= -26
now we divide 13 on both sides to get Y alone
13y/13= -26/13
y= -2
now since we have y we need to substitute it to find x
x= 3y+1
x= 3( -2) +1
now we mutliply 3 with -2
x= -6 +1
x=-5
those are ur answers
y= -2
x= -5
hope this helped:D
