9 is correct answer because it is given that ML=LB.
Answer:
d) 0.4
Step-by-step explanation:
P(Ra) = 0.998
P(Rb) = 0.995
P(A) = 0.4
P(B) = 0.6
The probability that method A was performed, given that the eye was recovered within a month of the surgery, is determined by the probability that the eye recovered within a month with method A (P(A) x P(Ra)),divided by the probability that the eye recovered within a month with either method (P(A) x P(Ra) + P(B) x P(Rb)):
![P(A|R)=\frac{P(A) *P(R_A)}{P(A) *P(R_A)+P(B) *P(R_B)}\\P(A|R) = \frac{0.4*0.998}{0.4*0.998+0.6*0.995} \\P(A|R) = 0.40](https://tex.z-dn.net/?f=P%28A%7CR%29%3D%5Cfrac%7BP%28A%29%20%2AP%28R_A%29%7D%7BP%28A%29%20%2AP%28R_A%29%2BP%28B%29%20%2AP%28R_B%29%7D%5C%5CP%28A%7CR%29%20%3D%20%5Cfrac%7B0.4%2A0.998%7D%7B0.4%2A0.998%2B0.6%2A0.995%7D%20%5C%5CP%28A%7CR%29%20%3D%200.40)
The probability that method A was performed is 0.40.
15 because 3 is one serving and multiplied by 5 servings is 25
Answer:
The volume = 523.3 ft.³
Step-by-step explanation:
∵ Surface area of the sphere = 4πr²
∴ 4πr² = 100π
∴ 4r² = 100 ⇒ r² = 100/4 = 25
∴ r = √25 = 5 ft.
∵ Its volume = 4/3 πr³
∴ Its volume = (4/3) × π × 5³ = 523.3 ft.³
This is a hypergeometric distribution problem.
Population (N=50=W+B) is divided into two classes, W (W=20) and B (B=30).
We calculate the probability of choosing w (w=2) white and b (b=5) black marbles.
Hypergeometric probability gives
P(W,B,w,b)=C(W,w)C(B,b)/(C(W+B,w+b)
where
C(n,r)=n!/(r!(n-r)!) the number of combinations of choosing r out of n objects.
Here
P(20,30,2,5)
=C(20,2)C(30,5)/(20+30, 2+5)
=190*142506/99884400
=0.2710
Alternatively, doing the combinatorics way:
#of ways to choose 2 from 20 =C(20,2)
#of ways to choose 5 from 30=C(30,5)
total #of ways = C(50,7)
P(20,30,2,5)=C(20,2)*C(30,5)/C(50,7)
=0.2710
as before.