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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Domain is all real numbers.
Range is all real numbers geater than 0
Answer:
answer is 48
Step-by-step explanation:
simplified after exponents.
4,096 x 59,049/ 256 x 19,683
simplified after multipled
241,864,704/5,038,848
= 48
Answer:
Step-by-step explanation:
Find, find the total increase in salary for 7 years;
If 1 year = $4,000
7 years = ?
=7*4000
=28,000 in total
Original salary = $169,300
Add the total increase in salary to the original salary;
169,300 + 28,000 = 197,300
Therefore, in 7 years, the salary would be $197,300
Answer:
Step-by-step explanation:
The difference is 130-150 = -20, a decrease.
-20/150 ≅ -0.133, a decrease of 13.3%
