A tar quarters fipped three times. For each of the following probabilities, use

Efan Halliday

Efan Halliday

Answered question

2021-10-21

A tar quarters fipped three 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 cistribution table. (Enter your answers to three decimal places}
(a)Find the probebilty of getting exactly three heads.
(b) Find the probabilty of getting exactly two heads.
(c) Find the probabilty of getting two or more heads.
(d) Find the probability of getting exactiy three tails.

Answer & Explanation

Talisha

Talisha

Skilled2021-10-22Added 93 answers

Solution:
Given that
p=0.5
9=11=10.5=0.5
n=3
Ubing binomial pnobability formula
p(x=x)=n(xpxqnx)
a)p(x=3)=3(3(0.5)3(0.5)33)=0.125
Probability=0.125
b)p(x=2)=3(2(0.5)2(0.5)32)=0.375
Probability=0.375
c)p(x2)=1p(x<2)
=1p(x=0)+p(x=1)
=10.5
=0.500
Probability=0.500
d))p(x=3)=3(3(0.5)3(0.5)33)=0.125
Probability=0.125
c)p(x2)=1p(x<2)
=1p(x=0)+p(x=1)
=10.5
=0.500
Probability=0.500
d))p(x=3)=3(3(0.5)3(0.5)33)=0.125
Probability=0.125

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