Letxbe a hypergeometric random variable withN=15,n= 3,andM=5.

(a)

Calculatep(0),p(1),p(2), andp(3). (Round your answers to two decimal places.)

p(0)

p(1)

p(2)

p(3)

2) Use the formulas below to calculate=E(x)and². (Round your answer forto one decimal place and your answer for²to five decimal places.)

=n(M/N)

²=n(M/N)(NM/N)(Nn/N1)

=

²=

(d)

What proportion of the population of measurements fall into the interval(2)?(Round your answer to two decimal places.)

What proportion of the population of measurements fall into the interval(3)?(Round your answer to two decimal places.)

Do these results agree with those given by Tchebysheff's Theorem?

yes

no