E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15
Bayes' theorem is transforming preceding probabilities into succeeding probabilities. It is based on the principle of conditional probability. Conditional probability is the possibility that an event will occur because it is dependent on another event.
P(F|E)=P(E and F)÷P(E)
It is given that P(E)=0.3,P(F|E)=0.5
Using Bayes' formula,
P(F|E)=P(E and F)÷P(E)
Rearranging the formula,
⇒P(E and F)=P(F|E)×P(E)
Substituting the given values in the formula, we get
⇒P(E and F)=0.5×0.3
⇒P(E and F)=0.15
∴The correct answer is 0.15.
If, E and F are two events and that P(E)=0.3 and P(F|E)=0.5. Thus, P(E and F)=0.15.
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Answer:
what is the question I didn't get it please explain what we have to find
Step-by-step explanation:
Answer:
The length is 26 feet and the width is 23 feet
Step-by-step explanation:
Let l represent the length of the rectangle.
The width can be represented by l - 3, since it is 3 feet less than the length
Set up an equation:
l + l + (l - 3) + (l - 3) = 98
Add like terms and solve for l:
l + l + (l - 3) + (l - 3) = 98
4l - 6 = 98
4l = 104
l = 26
So, the length is 26 feet.
Since the width is l - 3, we can plug this in for l to find the width:
l - 3
26 - 3
= 23
So, the length is 26 feet and the width is 23 feet
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