Compute the indicated quantity. P(A) = 0.7, P(B) = 0.3. A and B are independent. Find...

Question

Question

Compute the indicated quantity. P(A) = 0.7, P(B) = 0.3. A and B are independent. Find P(A ∩ B).

math Statistics-And-Probability

Answer 1

Answer #1

Ans:

As,A and B are independent,

P(ANB) = P(A) *P(B)

P(ANB) = 0.7*0.3

P(ANB) = 0.21

Answer 2

Similar Homework Help Questions

If A and B are independent events, P(A) = 0.3, and P(B) = 0.7, determine P(A∪B)....

If A and B are independent events, P(A) = 0.3, and P(B) = 0.7, determine P(A∪B). A. 0.21 B. 0.40 C. 0.79 D. 1.00
4.19 If P(A) 0.7, P(B)0.6, and A and B are independent, find P(A and B). PREFE...

4.19 If P(A) 0.7, P(B)0.6, and A and B are independent, find P(A and B). PREFE 4.20 If P(A) 0.3, P(B)0.4, and P(A and B) 0.2, are A and B independent? Name-E Store B
Compute the indicated quantity. P(A | B) = .2, P(B) = .5. Find P(A n B)....

Compute the indicated quantity. P(A | B) = .2, P(B) = .5. Find P(A n B). Þ(AN B) =

Given events A, B with P (A-0.5. P (B) 0.7, and P (A n B)-0.3, find:...

Given events A, B with P (A-0.5. P (B) 0.7, and P (A n B)-0.3, find: 4286 4286 P(BA) .6 .6 .333 6
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and...

= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
If A and B are independent events with P(A)=0.3 and P(B)=0.9, find P(A AND B). Provide...

If A and B are independent events with P(A)=0.3 and P(B)=0.9, find P(A AND B). Provide your answer below:

If P(A)=0.3, P(B)=0.7, \ and P(A∩B)=0.2, \ then (a) P(A|B)=_______ \ and (b) P(B|A)=_______

If P(A)=0.3, P(B)=0.7, \ and P(A∩B)=0.2, \ then (a) P(A|B)=_______ \ and (b) P(B|A)=_______
For the transition matrix P = 0.3 0.7 0.3 0.7 solve the equation SP = S...

For the transition matrix P = 0.3 0.7 0.3 0.7 solve the equation SP = S to find the stationary matrix S and the limiting matrix 7. Sa (Type an integer or decimal for each matrix element. Round to the nearest thousandth as needed.) P- (Type an integer or decimal for each matrix element. Round to the nearest thousandth as needed.)
Suppose that A and B are mutually exclusive and complementary events, such that P(A)=0.7 and P(B)=0.3....

Suppose that A and B are mutually exclusive and complementary events, such that P(A)=0.7 and P(B)=0.3. Consider another event C such that P(C/A)-0.2 and P(C/B)=0.3. What is P(C)?

9) Let.4, B and Cbe independent events with P(A)-0.1, P(B) 0.7, and P(C) 0.9. Find P(A...

9) Let.4, B and Cbe independent events with P(A)-0.1, P(B) 0.7, and P(C) 0.9. Find P(A and B and C). A) 0.078 B) 0.037 C) 0.063 D) 0.07