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.

=

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870