Plz help me and the 3rd word/number is 19 if u didn't know

The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.55. It is also known that P(A1 ∩ A2) = 0. Suppose P(

k0ka [10]

We're given the following probabilities:

$P(A_1)=0.30$

$P(A_2)=0.55$

$P(A_1\cap A_2)=0$

$P(B\mid A_1)=0.20$

$P(B\mid A_2)=0.05$

(a) Yes, $A_1$ and $A_2$ are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

$P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06$

$P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275$

(c) By the law of total probability,

$P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875$

(d) Bayes' theorem says

$P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686$

$P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314$

3 0

3 years ago

Write 7 and 4/5ths as a decimal.

kipiarov [429]

It would be 7.8Since 7 and 4/5ths is a mixed fraction; you would multiply 7X5= 35, then add 35+4= 39. Then you get 39/5=7.8

4 0

4 years ago

Can someone explain to me how this has multiple answers? I really don't understand! When I did it I only got the first answer. P

Vesna [10]

$in \: firt \: quadrant \\ sin \frac{\pi}{4} = \frac{ \sqrt{2} }{2} \\ in \: second \: quadrant \\ sin \frac{3\pi}{4} = \frac{ \sqrt{2} }{2} \\ in \: third \: quadrant \: \\ sin \frac{5\pi}{4} = \frac{ - \sqrt{2} }{2} \\ in \: forth \: quadrant \\ sin \frac{7\pi}{4} = - \frac { \sqrt{ 2} }{2} \\ in \: this \: way \: it \: has \: multiple \: soution$

3 0

3 years ago

Does anyone know the answers to this ? Pls help me out

Reptile [31]

Answer:

C. 4

Step-by-step explanation:

2x³+2x¹+2x+5+4/x-1

5 0

3 years ago

Danni thinks of a number. She subtracts 2 then multiples the result by 8. The answer is the same as subtracting 5 from the numbe

Elena L [17]

Answer:

8

Step-by-step explanation:

let the number=x

8(x-2)=16(x-5)

divide by 8

x-2=2(x-5)

x-2=2x-10

2x-x=-2+10

x=8

8 0

2 years ago