Need help with this, correct answers are shown. Showing work is appreciated. A o

Question

Need help with this, correct answers are shown. Showing work is appreciated.

A our-year stud ot van us brands or bo tied water 1ound hat 1 % 0 bottled water is us ap water packaged n a bottle Cons er a s mple o si bottied water brands and iet x equa e number of hese brand hat use tap water om lee parts a through d a. Is x (approximatey) a binomial random variable? Y Yes No b. Give the probability distribution forx as a formula. Choose the correct answer below O A OB. | (0.85)×(0.15)6-x p(x) = p(x) O c. D. 150 as c. Find PX3) Pixs 3) = 0.0415 (Round to four decimal places as needed. d. Find P(xs1). Px1) 07765ound to tour decimal places as needed.)

Explanation / Answer

a) Is x (approximately) a binomial random variable?

Yes

b) Give the probability distribution for x as a formula. Choose the correct answer below

p(x)=6Cx*(0.15)^x*(0.85)^6-x

c) Find P(x=3)

p(x)=6C3*(0.15)^3*(0.85)^6-3

=20*0.003375*0.614125

=0.04145344

d) Find P(x<=1)

P(x<=1)=P(x=0)+P(x=1)

p(x=0)=6C0*(0.15)^0*(0.85)^6-0

=1*1*0.377

=0.377

p(x=1)=6C1*(0.15)^1*(0.85)^6-1

=6*0.15*0.4437

=0.399

=0.377+0.399=0.776

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