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maria [59]
3 years ago
7

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!
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

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

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