ECET 305 digital signal processing class week two written assignment solutons

1. If a coin is tossed 5 times and comes up heads all five times, the probability of obtaining tails on the 6th toss is = ?

2. If A and B are independent events with P(A) = 0.5 and P(B) = 0.3, then P(AUB) = ?

 3. Using #2 P(A l B) =? (A GIVEN B)

4. Using #2 If A and B are mutually exclusive, P(A INTERSECT B) = ?

 5. Using #2 If A and B are mutually exclusive, P(AUB)=?

6. A lottery uses 4 urns containing chips 0 to 9. One chip is selected at random from each urn. How many sample points are in the sample space?

 7. A die is tossed twice. What is the probability of obtaining 6 dots both times?

8. A balanced coin is tossed 12 times and heads appears each time. What is the probability that tails will appear on the next toss? 

 9. If P(A) = 0.3 and P(AUB) = .88 and P(A intersect B) = .12, then P(B)= ?