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

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: