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:
6% monthly
Step-by-step explanation:
The monthly rate being compounded when the interest is 6% per year is ...
6%/12 = 0.5%
so the multiplier each month is
1 + 0.5% = 1.005
___
The monthly multiplier when 5.86% is compounded continuously is ...
e^(5.86%/12) ≈ 1.004895
The 6% rate will give a larger yield after any length of time.
The height of Maury's room is 8.4 ans maury is 6.6 feet tall. The distance between the celling and Maury's head is exactly 1.8. She wants to hang the celling fan 1.875 feet away from the celling that is all the head room she has the celling fan would hit her head.
Answer:
Slope=16
Step-by-step explanation:
