Answer :
The probability that precisely 10 have vcrs is 0.203.
When the occurrences of the events in an experiment are neither affected by the occurrences of the preceding events nor by the occurrences of the successive events. The events are known as independent events.
p = 0.70
n = 15
As per binomial distribution:
P(X = x) = [tex]{}^{n}C_{r}[/tex] × [tex]p^{r}[/tex]× [tex](1 - p) ^{n - r}[/tex]
X: Number of households.
The probability that exactly 10 have vcrs:
P(X = 10) = [tex]{}^{15}C_{10}[/tex] × [tex]0.7^{10}[/tex]× [tex](1 - 0.7) ^{15 - 10}[/tex]
P(X = 10) = [tex]{}^{15}C_{10}[/tex] × [tex]0.7^{10}[/tex]× [tex](0.3) ^{5}[/tex]
P(X = 10) = 3,003 × 0.0282 × 0.0024
P(X = 10) = 0.203
0.203 is the probability that exactly 10 have vcrs.
Learn more about the probability at
https://brainly.com/question/17156892?referrer=searchResults
#SPJ4
