Answer:
7/80
Step-by-step explanation:
Given that: P(B) = 7 / 20, P(A|B)= 1 / 4
Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:
![P(A|B)=\frac{P(A \cap B)}{P(B)}](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D)
Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.
![P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28B%29%7D%5C%5C%5C%5CP%28A%20%5Ccap%20B%29%3DP%28A%7CB%29%2AP%28B%29%5C%5C%5C%5CSubstituting%3A%5C%5C%5C%5CP%28A%20%5Ccap%20B%29%3D1%2F4%2A7%2F20%3D7%2F80%5C%5C%5C%5CP%28A%20%5Ccap%20B%29%3D7%2F80)
Can what perform algebra?
The quotient of -3/8 and -1/3 is 1 1/8.
Answer:
1 The pressure approaches infinity.
2 The function is undefined for V = 0.
3 There is an asymptote at V = 0.
tbh google =)
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714
B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830