Question

4.3 conditional probability. multiplication rule. let a and b be independent events, such that p(a)=0.5074 and p(b)=0.3565. find the following probabilities: p(a and b)= (round the answer to 4 decimals) enter an integer or decimal number more.. question help: video written example message instructor submit question

Explanation:

Step1: Recall the formula for independent events

For independent events $A$ and $B$, $P(A\cap B)=P(A)\times P(B)$.

Step2: Substitute the given values

We have $P(A) = 0.5074$ and $P(B)=0.3565$, so $P(A\cap B)=0.5074\times0.3565$.

Step3: Calculate the result

$0.5074\times0.3565 = 0.1809981$.

Step4: Round the answer

Rounding $0.1809981$ to 4 - decimals gives $0.1810$.

Answer:

$0.1810$