Let BS be the event that the patient survives bypass surgery.
Let H be the event that the heart damage will heal.
Then P(BS) = 0.60, and also we have a conditional probability: GIVEN that the patient survives,
the probability that the heart damage will heal is 0.5, that is P(H|BS) = 0.5
We want to know P(BS and H).
Using the formula of the conditional probability:
P(H and BS) = P(H|BS)·P(BS) = (0.6)(0.5) = 0.3
C = # of carpenter hrs , b = # of blacksmith hrs
c + b = 30...c = 30 - b
20c + 25b = 690
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith
c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter
Answer:
<h2>y=x-2</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>given:</h3>
<h3>let's solve:</h3>
the slope of the line is 1
and linear equation slope intercept form:
therefore our equation is
Answer:
![P = 0.1447](https://tex.z-dn.net/?f=P%20%3D%200.1447)
Step-by-step explanation:
Given
-- total
--- defective
--- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
![Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B7000%20-%20180%7D%7B7000%7D%20%2A%20%5Cfrac%7B6999%20-%20180%7D%7B6999%7D%2A%20%5Cfrac%7B6998%20-%20180%7D%7B6998%7D%2A%20%5Cfrac%7B6997%20-%20180%7D%7B6997%7D%2A%20%5Cfrac%7B6996%20-%20180%7D%7B6996%7D%2A%20%5Cfrac%7B6995%20-%20180%7D%7B6995%7D)
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
![Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}](https://tex.z-dn.net/?f=Pr%20%3D%20%5Cfrac%7B6820%7D%7B7000%7D%20%2A%20%5Cfrac%7B6819%7D%7B6999%7D%2A%20%5Cfrac%7B6818%7D%7B6998%7D%2A%20%5Cfrac%7B6817%7D%7B6997%7D%2A%20%5Cfrac%7B6816%7D%7B6996%7D%2A%20%5Cfrac%7B6815%7D%7B6995%7D)
![Pr = 0.8553](https://tex.z-dn.net/?f=Pr%20%3D%200.8553)
Using the complement rule, the probability that the batch will be rejected is:
![P = 1 - 0.8553](https://tex.z-dn.net/?f=P%20%3D%201%20-%200.8553)
![P = 0.1447](https://tex.z-dn.net/?f=P%20%3D%200.1447)
The answer to your question is 3:23