Answer:
Refer below
Step-by-step explanation:
a) a and b are the lower and higher values of the interval for which uniform distribution is defined.
Here a= 6 and b =10
b) Mean of the uniform distribution= (a+b)/2 = (6+10)/2 =8
Or int x (1/4) dx = x^2/8 = 8
c) Variance of the uniform distribution = (b^2-a^2)/12 = (100-64)/12
= 36/12 =3
Std dev = sq rt of 3 = 1.732
d) To find total area
PDF of the distribution = 1/(b-a) = 1/4, 6<x<10
Area = \int 6 to 10 of 1/4 dx
= x/4
Subtitute limits
= (10-6)/4 =1
So total area = 1
d)P(X>7) = int 7 to 10 of 1/4 dx = 3/4
e) P(7<x<9) = Int 7 to 9 of 1/4 dx = 2/4 = 1/2
Answer:
point m' translated down 6 units
Step-by-step explanation:
Answer:n=-3.1
Step-by-step explanation:
2n + 3 = -3.2
Subtract 3 on both sides
2n+3-3=-3.2-3
2n=-6.2
Divide 2 on both sides
2n/2=-6.2/2
n=-3.1
Answer:
B. 6
Step-by-step explanation:
D. 12 cant be multiplied to get 18
C. 4 cant be multiplied to get 18
A. 2 is a common factor of 12 and 18 but not the greatest.
B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.
Answer: m = -2
Step-by-step explanation:
8(3m+5)=2m-4
24m + 40 = 2m - 4
24m - 2m = -40 - 4
22m = -44
m = - 44/ 22
m = -2
