Solved If P A 一0 5 P B 0 1 And P A U B 0 55 Then P An Chegg Here’s the best way to solve it. use the given probabilities p (a) and p (b) to calculate p (a ∩ b) under the assumption that events a and b are independent. To solve the problem, we need to find the probability of the intersection of two independent events a and b, denoted as p (a∩b). 1. understand the given information: we know that p (a)= 0.4 and p (b)= 0.5. events a and b are independent. 2. use the formula for independent events: 3. substitute the values: 4. perform the multiplication: 5.
Solved Given P A 0 4 P B 0 5 And P A Intersection B Chegg Step by step solution: step 1 calculate p (a'): p (a') = 1 p (a) = 1 0.4 = 0.6. step 2 calculate p (a' ∩ b): p (a' ∩ b) = p (b) p (a ∩ b) = 0.5 0.25 = 0.25. step 3 use the conditional probability formula: p (a'|b) = p (a' ∩ b) p (b) = 0.25 0.5 = 0.5. final answer: 0.5. Calculate the probability of the union of events $$a$$a and $$b$$b: $$p (a \cup b) = 0.4 0.5 0.2 = 0.7$$p (a∪b) = 0.4 0.5−0.2 = 0.7 so, the answer is $$0.7$$0.7. We are given p (a ∩ b) = 0.05 and p (a) = 0.4. plugging these values into the formula, we get: p (b | a) = 0.05 0.4 = 0.125 (d) to sketch a venn diagram, draw two circles representing events a and b. There are 3 steps to solve this one. not the question you’re looking for? post any question and get expert help quickly.
Solved 5 Given P A 0 3 P B 0 6 And P Ab 0 2 Dra We are given p (a ∩ b) = 0.05 and p (a) = 0.4. plugging these values into the formula, we get: p (b | a) = 0.05 0.4 = 0.125 (d) to sketch a venn diagram, draw two circles representing events a and b. There are 3 steps to solve this one. not the question you’re looking for? post any question and get expert help quickly. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step by step explanations, just like a math tutor. Given p (a) = 0.55, p (b) = 0.4, and p (a intersection b) = 0.25, find (a) p (a union b); (b) p (a intersection b): (c) p (a intersection b) (d) p (a union b) (e) p (a) (f) are a and b mutually exclusive? (g) are a and b independent? your solution’s ready to go!. The question asks to find the probability of event b given that p (a) = 0.5 and p (a and b) = 0.4, with a and b being independent events. to solve this, we use the formula for independent events:. To find the probability of the intersection of two independent events a and b, we can follow these steps: 1. identify the probabilities of events a and b: 2. understand the relationship between independent events: 3. substitute the known probabilities into the formula: 4. calculate the product: 5. state the final answer:.
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