Answer:
0.2416
Step-by-step explanation:
P(forgot to water | dead) = P(forgot and dead) / P(dead)
->With water it will die with probability 0.45
P(watered and dead) =0.83 x 0.45 = 0.3735
->Without water the plant will die with probability 0.7
P(forgot and dead) = (1-0.83) x 0.7 => 0.17 x 0.7 =>0.119
P(dead) = P(watered and dead) +P(forgot and dead)
P(dead) = 0.3735 + 0.119= 0.4925
P(forgot to water | dead) =0.119 / 0.4925= 0.2416
Therefore, the probability the neighbor forgot to water the plant is 0.2416
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.
Learn more about Bayes' theorem on
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So we are trying to get the “y” alone, so to undo the division by -8, we will multiply both sides by -8, then simplify.
(-8) y/(-8) = (-8) 1/16
y = -8/16
and simplified:
y = -1/2
