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Natalka [10]
3 years ago
14

why do whole numbers raised to an exponet get greater while fractions raised to an exponet get smaller

Mathematics
1 answer:
hoa [83]3 years ago
8 0
Fractions are basically divisions.
Ex. 2/4 = 1/2

And whole numbers like 10, get greater when raised to an exponent.
Ex. 10^2 = 100
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Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
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Answer:

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Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

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P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

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Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

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