Answer:
0.26 and 0.577
Step-by-step explanation:
Given :
x :___0 ___ 1 ____ 2 ____ 3
f(x):_0.80 _0.15__0.04 __0.01
The mean :
E(X) = Σ(x * p(x))
E(X) = (0*0.8) + (1*0.15) + (2*0.04) + (3*0.01)
E(X) = 0 + 0.15 + 0.08 + 0.03
E(X) = 0.26
Var(X) = Σx²*p(x)) - E(x)²
Σx²*p(x)) = (0^2*0.8) + (1^2*0.15) + (2^2*0.04) + (3^2*0.01) = 0.4
Σx²*p(x)) - E(x)² = 0.4 - 0.26² = 0.3324
Std(X) = √0.334 = 0.577
8/8 = 1
1/11 * 1 = 1/11
Hope this helps
Answer:
a. 0.69
b. 0.13
c.0.56
Step-by-step explanation:
Total number = 100
a) either means students with either option are valid
69/100 = 0.69
b) both means each student has done both math and english
=13/100 = 0.13
c) Only one means has done one subject and not both classes. We have 23 for math and 33 for english (this is according to your venn diagram)
23+33=56
one subject =56/100 = 0.56
When you illustrate the problem, an image like that shown in the picture is formed. You are asked to order the angles in increasing order. Since, it did not ask for the values, we don't have to solve it.
Note that the larger the angle, the larger its opening, thus its opposite side would be larger also. Using this analogy and referring to the picture, the order of angles should be:
Angle E < Angle F < Angle D
The answer is 5 bc you divide 14 by 70