Answer:
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
No
No
Step-by-step explanation:
Given :
Sample, size n = 500
A = driver is under the influence of alcohol :
Y = driver is less than 30 years old
P(A) = 275 / 500 = 0.55
P(Y) = 375 / 500 = 0.75
P(AnY) = 225 / 500 = 0.45
P(YnA') = (1 - 225/375)*0.75 = 0.4 * 0.75 = 0.30
Joint probability table :
_____ A _____ A'
_ Y_ 0.45 ___ 0.30
_ Y'_ 0.05___ 0.20
To determine if it is mutually exclusive : P(AnY) = 0
P(AnY) = 0.45 ; hence, it is not mutually exclusive
For A and Y to be independent ; P(A|Y) = P(A) ;
P(A|Y) = P(AnY) / P(Y)
P(A|Y) = 0.45 / 0.75 = 0.6
Hence, A and Y are not independent.
Answer:
Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.
Step-by-step explanation:
Técnicas orales y de cálculo mental de multiplicación y división entera . ... conjunto de múltiplos de 10 es un subconjunto de los números pares. Si ... La clase vacía ∅ se representa por la notación 0, la clase unitaria por 1, la clase binaria por 2, etc. En ... 5 x (5 x (5 x (5 + 4) + 3 ) + 2) + 1 ; x significa el signo de multiplicar. 8.
(u^2 - 4) / (u-6)(u-2)
Resriction u ≠ 6 and u ≠ 2 (because the denominator cannot be equal lto zero)
Simplification
u^2 - 4 is a difference of two squares, then you can factor it as the product of (u+2)(u-2). So, you can write the expression as:
(u+2)(u-2) / (u-2)(u-6)
Simplify u -2 (because it appears in the numerator and the denominator)
(u + 2) / (u -6), with u ≠2 and u≠6
Answer:
$15
Step-by-step explanation:
let the hourly rate of pay for Ben = B
let the hourly rate of pay for Judy = J
Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75;
4J + B = 75 ----- i
Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120
2J + 6B = 120 --- ii
Now, we should solve the expression;
Multiply equation ii by 2 and equation i by 1;
4J + B = 75 ----- i x 1 ; 4J + B = 75 -- iii
2J + 6B = 120 --- ii x 2 ; 4J + 12B = 240 ---iv
Now,
equation iv - iii;
11B = 165
B = $15
So, solving for J;
4J + B = 75
4J + 15 = 75
4J = 75 - 15 = 60
J = $15
Answer:
13
Step-by-step explanation:
Use PEMDAS
2(3+2x5)÷2
first you would do the parenthesis
2 times 5 is 10
so now you have:
2(3+10)÷2You still have parenthesis so you would add 3+10 because that is inside the parenthesis
2(13)÷3
next you would do 2 times 13 which is 26:
so now you have 26÷2 which is 13
so the answer is 13
