A manufacturing facility has 21 high pressure valves manufactured by Company A and 14 valves manufactured by Company B. Only six valves can be installed in any given day If the 6 valves are chosen at random, what is the probability that 5 or fewer are from Company A?

0.9666

Step-by-step explanation:

Given that a manufacturing facility has 21 high pressure valves manufactured by Company A and 14 valves manufactured by Company B.

6 valves are chosen at random

Total no of ways of randomly choosing 6 valves = (21+14)C6

=

Choosing 5 or fewer form company A can be as follows

(A,B) = (0,6) (1,5) (2,4)(3,1)(4,2) (5,1)

This can be written as 1-Prob of  choosing all 6 from A

No of ways of choosing all 6 from A = 21C6 = 54264

Hence the probability that 5 or fewer are from Company A

=

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7