SOLUTION: Find exact probabilities showing all required computation. Five fair coins are tossed. Find the probability of the coins showing; A: At least four heads B: At least three hea

Algebra ->  Probability-and-statistics -> SOLUTION: Find exact probabilities showing all required computation. Five fair coins are tossed. Find the probability of the coins showing; A: At least four heads B: At least three hea      Log On


   

Question 876046: Find exact probabilities showing all required computation.
Five fair coins are tossed. Find the probability of the coins showing;
A: At least four heads
B: At least three heads
c: At least two heads
D: At least one head
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Find exact probabilities showing all required computation.
Five fair coins are tossed. Find the probability of the coins showing;
Let X = number of heads appearing on tossing a fair coin five times.
X~Binomial(5, 0.5)
A: At least four heads
P(X ≥ 4) = sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+4%2C+5%29 = highlight%280.1875%29
B: At least three heads
P(X ≥ 3) = sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+3%2C+5%29 = highlight%280.5%29
c: At least two heads
P(X ≥ 2) = sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+2%2C+5%29 = highlight%280.8125%29
D: At least one head
P(X ≥ 1) = sum%28%28matrix%282%2C1%2C5%2Cx%29%29%280.5%5E5%29%2C+x+=+1%2C+5%29 = highlight%280.96875%29