Question

If x is a binomial random​ variable, calculate μ​,σ2​, and σ for each of the following values of n and p. Complete parts a through f.

a.nequals=27,pequals=0.4

muμ equals=______​(Round to the nearest tenth as​ needed.)

σ2equals=__________ ​(Round to the nearest hundredth as​ needed.)

σequals=_________​(Round to the nearest thousandth as​ needed.)b.

nequals=75, pequals=0.1

muμequals=n_________ ​(Round to the nearest tenth as​ needed.)

σ2equals=_______- ​(Round to the nearest hundredth as​ needed.)

sigmaσequals=nothing​(Round to the nearest thousandth as​ needed.)c.

nequals=99 pequals=0.6

muμequals=_______- ​(Round to the nearest tenth as​ needed.)

σ2equals=_______​(Round to the nearest hundredth as​ needed.)

sigmaσequals=_________ ​(Round to the nearest thousandth as​ needed.)d.

nequals=73​,pequals=0.9

muμequals=________ ​(Round to the nearest tenth as​ needed.)

Answer 1

(a)

n = 27

p = 0.4

So,

q = 1 - p = 0.6

(b)

n = 75

p = 0.1

So,

q = 1 - p = 0.9

(c)

n = 99

p = 0.6

So,

q = 1 - p = 0.4

(d)

n = 73

p = 0.9

So,

q = 1 - p = 0.1