SOLUTION: Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events. a) P(heads on 1995 quarter only)=______? b) P(heads on all 10 quarters)=______

SOLUTION: Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events. a) P(heads on 1995 quarter only)=? b) P(heads on all 10 quarters)=_?

Question 761258: Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events.
a) P(heads on 1995 quarter only)=______?
b) P(heads on all 10 quarters)=_______?
c) P(exactly 2 heads)=______?
d) P(at least three heads)=______?
All answers must be in reduced fractions. I could really use your help.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events.
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Binomial Problems with n = 10 and p(head) = 1/2
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a) P(heads on 1995 quarter only)______?
# of ways to succeed: 1*2^9
# of possible outcomes: 2^10
P(heads on 1995 quarter only) = (1*2^9)/(2^10) = 1/2
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b) P(heads on all 10 quarters)= (1/2)^10 = 1/1024
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c) P(exactly 2 heads)= 10C2(1/2)^10 = 45/1024
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d) P(at least three heads)= 1 - binomcdf(10,1/2,2) = 0.0547
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Cheers,
Stan H.
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SOLUTION: Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events. a) P(heads on 1995 quarter only)=______? b) P(heads on all 10 quarters)=_______?

SOLUTION: Ten quarters dated 1990 through 1999 are tossed. Find the probability of the following events. a) P(heads on 1995 quarter only)=? b) P(heads on all 10 quarters)=_?