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

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.