SOLUTION: The probability that an unbalanced coin lands on head is 1/ 5 . If this coin is tossed twice and each toss is independent answer the following: a. List the sample space. b. Cons

Question 1131413: The probability that an unbalanced coin lands on head is 1/ 5 . If this coin is
tossed twice and each toss is independent answer the following:
a. List the sample space.
b. Construct a discrete probability distribution using X as the number of
heads of the two-coin toss.
c. Find P X( <1), E X( ) and E(1/ ( X +1)).
Answer by greenestamps(13209) (Show Source): You can put this solution on YOUR website!

(some of your vocabulary an notation is unfamiliar to me....)

a. The sample space is {HH, HT, TH, TT}

b.
P(HH) = (1/5)(1/5) = 1/25
P(HT) = (1/5)(4/5) = 4/25
P(TH) = (4/5)(1/5) = 4/25
P(TT) = (4/5)(4/5) = 16/25

P(X=2) = 1/25
P(X=1) = 8/25
P(X=0) = 16/25

c.
??? Unfamiliar notation....
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