Suppose that in a certain metropolitan area, seven out of 10 households have cable tv. let x denote the number among six randomly selected households that have cable tv, so x is a binomial random variable with n = 6 and p = 0.7. (round your answers to four decimal places.)
(a) calculate p(3) = p(x = 3).
p(3) =

(b) calculate p(6), the probability that all six selected households have cable tv.
p(6) =

(c) determine p(x ? 5).
p(x ? 5) =

Answer with Step-by-step explanation:

We are given that

x=The number among six randomly selected household that have cable TV.

n=6, p=0.7

a.We have to calculate p(3)=p(X=3)

Binomial distribution formula :

q=1-p=1-0.7=0.3

  ()

P(X=3)=0.1852

b.We have to calculate p(6)

Hence, the probability that all six household have cable TV=0.1176

c P(X=5)=

Hence, P(X=5)=0.3025

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.