19% adults favor the use of unmanned drones by police agencies. Twelve U. S. Adults are randomly selected. Find the probability that the number of U. S. Adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight. Round answers three decimal places please!

0.2264

0.1795

0.2264

Step-by-step explanation:

Given that:

p = 19% = 0.19

Sample size (n) = 12

Using binomial distribution formula :

p(x = x) = nCx * p^x * (1 - p)^(n-x)

1 - p = 1 - 0.19 = 0.81

Exactly 3:

p(x = 3) = 12C3 * 0.19^3 * 0.81^9

p(x = 3) = 220 * 0.001029499103502116970939

= 0.2264

B.) Atleast 4 :

P( x ≥ 4) = p(4) + p(5) + p(6) + p(7) + p(8) + p(9) + p(10) + p(11) + p(12)

To save time, we can use a binomial probability calculator :

P( x ≥ 4) = 0.1795

C.) Less than 8:

P( x < 8) = p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)

P(x < 8) = 0.9995

ian gonna lie that is way to much