A fair quarter is flipped 9 times. For each of the following probabilities, use

Phoebe

Phoebe

Answered question

2021-10-16

A fair quarter is flipped 9 times. For each of the following probabilities, use the formula for the binomial distribution and a calculator to compute the requested probability. Next, look up the probability in the binomial probability distribution table. (Enter your answers to three decimal places.)
(a) Find the probability of getting exactly three heads.
(b) Find the probability of getting exactly two heads.
(c) Find the probability of getting two or more heads.
(d) Find the probability of getting exactly three tails.

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2021-10-17Added 85 answers

Solution:
Given a fair Quarter is fupped 9 times.
Probability of geting a head =12=0.5
Probability of geting a tails =12=0.5
Now define x=n0. of getting heads
Then xBinomial(n.p)
n=9,p=05
a)P(x=3)=9c3(0.5)3(10.5)93[ncxpx(1p)nx]
=84(0.5)3(0.5)6
=84(0.5)9
=0.164
b)P(x=3)=9c3(0.5)3(10.5)93[9c2=9!2!x!=36)
=36(0.5)2(0.5)
=36(0.59)
eq0.070
c)p(x2)=1[§P(x=0)+P(x=1)+P(x=2)]
=1[9c0(0.5)0(10.5)90+9c1(0.5)1(0.5)91]=0.070
=1[(0.5)9+9(0.5)9+0.070]
=100.0896
=0.910
d)P(x=3)
Here x=number of getting there thus
p=0.5,n=9
P(x=3)=9c3(0.5)3(10.5)9
=84(0.5)9
0.164

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