Among 13 electrical components exactly 3 are known not to function properly. if 7 components are randomly selected, find the following probabilities: (i) the probability that all selected components function properly. (ii) the probability that exactly 2 are defective. (iii) the probability that at least 1 component is defective.

Step-by-step explanation:

Given that among 13 electrical components exactly 3 are known not to function properly.

7 components are randomly selected

In this 7 components each component is independent of the other for not to function properly.  Also there are two outcomes.

X - no of components not to function properly is Bin with n=7 and

p =

a) The probability that all selected components function properly.

=

b) The probability that exactly 2 are defective

= P(x=2) =

c) The probability that at least 1 component is defective.

=

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2