Use n=6 and p=0.8 to complete parts (a) through (d) below.
(a) Construct a binomial pro...
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Mathematics, 16.04.2020 04:00, jespinozagarcia805
Use n=6 and p=0.8 to complete parts (a) through (d) below.
(a) Construct a binomial probability distribution with the given parameters.
x
P(x)
0
1
2
3
4
5
6
(Round to four decimal places as needed.)
(b) Compute the mean and standard deviation of the random variable using
mu Subscript Upper XμXequals=Summation from nothing to nothing left bracket x times Upper P left parenthesis x right parenthesis right bracket∑[x•P(x)]
and
sigma Subscript Upper XσXequals=StartRoot Summation from nothing to nothing left bracket x squared times Upper P left parenthesis x right parenthesis right bracket minus mu Subscript Upper X Superscript 2 EndRoot∑x2•P(x)−μ2X.
mu Subscript Upper X μX=
(Round to two decimal places as needed.)
sigma Subscript Upper X σX=
(Round to two decimal places as needed.)
(c) Compute the mean and standard deviation, using
mu Subscript Upper XμXequals=np
and
sigma Subscript Upper XσXequals=StartRoot np left parenthesis 1 minus p right parenthesis EndRootnp(1−p).
mu Subscript Upper X μX=
(Round to two decimal places as needed.)
sigma Subscript Upper X σX=
(Round to two decimal places as needed.)
(d) Draw a graph of the probability distribution and comment on its shape.
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