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:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)