A new battery's voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries will be independently selected and tested until two acceptable ones have been found. Suppose that 92% of all batteries have acceptable voltages. Let Y denote the number of batteries that must be tested.

a) What is p(2), that is P(y = 2)?

b) What is p(3)?

c) To have Y = 5, what must be true of the fifth battery selected?

i. The fifth battery must be an A.

ii. The fifth battery must be a U.

Given:

92% batteries have acceptable voltages

Let Y denotes the number of batteries that must be tested.

P(acceptable)=P(A)=0.92P(acceptable)=P(A)=0.92

P(unacceptable)=1−P(A)=0.08P(unacceptable)=1−P(A)=0.08\

(a)

P(y=2)=P(AA)=0.92×0.92=0.8464P(y=2)=P(AA)=0.92×0.92=0.8464

(b)

The favorable cases to y=3 are AUA, UAA

P(y=3)=P(AUA)+P(UAA)=(0.92×0.08×0.92)+(0.08×0.92×0.92)=0.1354P(y=3)=P(AUA)+P(UAA)=(0.92×0.08×0.92)+(0.08×0.92×0.92)=0.1354

(c)

In order to have y=5 the 5th battery must be second acceptable battery

The favorable outcomes are AUUUA, UUUAA, UAUUA and UUAUA

P(y=5)=P(AUUUA)+P(UUUAA)+P(UAUUA)+P(UUAUA)=0.92×0.08×0.08×0.08×0.92+0.08×0.92×0.08×0.08×0.92+0.08×0.92×0.08×0.08×0.92+0.08×0.08×0.92×0.08×0.92=0.0016

Step-by-step explanation:

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16