Answer:
1
Step-by-step explanation:
Equation of variance:
Total Variance = sum (i=1, N) {c^2,variance^2}
= c1^2*variance1^2 + c2^2*variance2^2 + .....
Variance of X = 1
Variance of Y = 5
Variance of Y - 2X = (1^2)*(5) - (2^2)**(1)
= 5 - 4 = 1
7(x - 2) - 3(3 + X) greater than 1
7 X - 14 - 9 - 3 x greater than 1
4 x -23 greater than 1
4 x greater than 1 + 23
x is greater than 6
Answer:
A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.
Step-by-step explanation:
The relative frequencies given are at most 0.02 apart. This means they are reasonably close.
The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.
However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.
Since the relative frequencies are reasonably close, the number cube is likely to be fair.
5:2:11=15:6:33
Multiply by 6/2=3