Answer:
a) P(
| X ) = 0.180
b) P(Y |
) = 0.998
Step-by-step explanation:
Let
P(X) - Probability that he acts hungry
P(Y) - Probability that he had ate dinner,
Given,
P(X | Y) = 0.5
P(X |
) = 0.99
P(Y) = 0.9
a.)
P(
| X ) = ![\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }](https://tex.z-dn.net/?f=%5Cfrac%7BP%28%20X%20%7C%20Y%5E%7BC%7D%20%29.%20P%28Y%5E%7BC%7D%20%29%20%20%20%7D%7BP%28%20X%20%7C%20Y%5E%7BC%7D%20%29.%20P%28Y%5E%7BC%7D%20%29%20%2B%20P%28%20X%20%7C%20Y%20%29%20.%20P%20%28Y%29%20%7D)
=
= 0.180
⇒P(
| X ) = 0.180
b.)
P(Y |
) = ![\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }](https://tex.z-dn.net/?f=%5Cfrac%7B%281%20-%20P%28X%20%7C%20Y%20%29%20%29%20.%20P%28Y%29%7D%7BP%28%20X%5E%7BC%7D%20%29%20%20%7D%20%3D%20%20%5Cfrac%7B%281%20-%20P%28X%20%7C%20Y%20%29%20%29%20.%20P%28Y%29%7D%7B%201%20-%20P%28%20X%20%29%20%20%7D)
=
= 0.998
⇒P(Y |
) = 0.998
Answer:
2/9
Step-by-step explanation:
Since there are 18 total eggs (cracked, white, brown) we can say that the denominator will be 18.
There are 8 white eggs, and when half of those are cracked there will be 4 uncracked and 4 cracked, so 4/18.
Simplify 4/18 to 2/9 and there is your answer.
Platies are 2.14 each and guppies are about 3.12 each
B) 4(x+2) + 8(x-1)
first we distribute the 4
4x+ 8 + 8(x-1)
now we distribute the 8
4x+8 + 8x-8
now we combine the 4x and the 8x because they have the same variable so they are like terms
12x +8-8
the 8 cancels out so
b) 12x
now c)
3(w-5) - 6(w+2)
distribute 3
3w-15 - 6(w+2)
now distribute -6
3w-15 -6w -12
combine 3w and -6w because they are like terms
-3w -15-12
now combine -15 and -12
answer to c: -3w-27
Answer:
idk 3 maybeeed im in 3rd grade idk