Answer:
P(M>6)\approx0.178 \approx 0.18P(M>6)≈0.178≈0.18P,
Step-by-step explanation:
Answer:
E(X) = 0.64
Sd(X) = 0.933
Step-by-step explanation:
3(0.07) + 2(0.11) + 1(0.21)
E(X²) = 3²(0.07) + 2²(0.11) + 1²(0.21)
= 1.28
Var(X) = 1.28 - 0.64² = 0.8704
Sd = 0.933
Answer
Lauren is wrong. Maybe she added incorrectly??
Step-by-step explanation:
3 * 15 = 45
45 * 8% = 3.60
45.00 + 3.60 = 48.60
Answer:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
2x + y = 1 .......(1)
3y + z = 1 ........(2)
x + 4z = 1 ........(3)
Elimination 1 and 2
2x + y = 1 | ×3 |
3y + z = 1 | ×1 |
6x + 3y = 3
3y + z = 1
___________--
6x - z = 2 .............. (4)
Elimination 3 and 4
x + 4z = 1 | ×6 |
6x - z = 2 | ×1 |
6x + 24z = 6
6x - z = 2
___________--
25z = 4
z = 4/25
Elimination 3 and 4
x + 4z = 1 | ×1 |
6x - z = 2 | ×4 |
x + 4z = 1
24x - 4z = 8
___________+
25x = 9
x = 9/25
Subsitution 1
2x + y = 1
2(9/25) + y = 1
18/25 + y = 1
y = 1 - 18/25
y = 25/25 - 18/25
y = 7/25
Step-by-step explanation and answer:
The 6 sides of the die are numbered 1,2,3,4,5,6
There are 3 odd and 3 even numbers
probability of an odd number on 1st roll is:
3/6=1/2
When you want A AND B probabilities, you multiply
the events A and B
The number less than 3 are 1,2, so the probability is:
2/6=1/3
so the probability of both events are going to be:
(1/2) *(1/3)=1/6