Question

36​% 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.
​A.) P(3)=

B.) P(x>4)=

C.) P(x<8)=

round to 3 decimal places

Answer 1

SOLUTION-

LET X BE THE NO OF ADULTS THAT FAVOUR DRONES.

X~ BINOMIAL(n,p)

THE PMF IS GIVEN AS,

HERE, n= 12 and p=0.36

1.)  

= 0.1849 ~ 0.185

2.)  

=

= 1- 0.0047- 0.0319- 0.1849- 0.2340

= 0.5445 ~ 0.544

3.)  

=

= 1- 0.0234- 0.0059- 0.0010- 0.0001- 0.0000

= 0.9755 ~ 0.976

****IN CASE OF DOUBT, COMMENT BELOW. ALSO LIKE THE SOLUTION, IF POSSIBLE.