Answer:
a) P(X ≤ 4) = 0.9
b) P(X>7) = 0
c) P(X ≤ 5) = 0.9
d) P(X>4) = 0.1
e) P(X≤2)= 0.7
Step-by-step explanation:
Hello!
Given the distribution of cumulative probability
0 for X < 1
F(x) 0.7 for 1 ≤ X < 4
0.9 for 4 ≤ X < 7
1 for 7 ≤ X
To determine each of the asked probabilities you have to select the probability corresponding to the defined intervals for X:
a) P(X ≤ 4) = 0.9
This value of X is included the interval "4 ≤ X < 7" so the corresponding probability is 0.9
b) P(X>7) = 0
This is equal to the expression:
1 - P(X≤7)
This expression is included in the last interval so the probability is 1
1 - 1 = 0
c) P(X ≤ 5) = 0.9
5 is included in the third interval "4 ≤ X < 7" so the corresponding probability is 0.9
d) P(X>4) = 0.1
P(X>4) = 1 - P(X≤4)
P(X≤4) is in the interval of definition "4 ≤ X < 7" so the corresponding probability is 0.9
1 - 0.9 = 0.1
e) P(X≤2)= 0.7
The value X=2 is included in the second interval "for 1 ≤ X < 4", so the probability is 0.7
I hope it helps!
Step-by-step explanation:
Answer:
7 1/2
Step-by-step explanation:
1.)x+5;x=3
(3) + 5
8
2.)7x;x=-5
7(-5)
35
3.)y=1-2x;x=9
y = 1 - 2(9)
y = 1 - 18
y = -17
4.)y=3x+2;x=0.5
y = 3(0.5) + 2
y = 1.5 + 2
y = 3.5
5.)y=2x^3;x=3
y = 2(3^3)
y = 2(3)(3)(3)
y = 2(27)
y = 54
<span>6.)y=x/2+9;x=-12
y = (-12)/2 + 9
y = -6 + 9
y = -3</span>
