Question

dora has a company that produces backpacks for exploring. The probability that a backpack is considered defective is 3%. When backpacks are randomly selected from the production line, use the notation defective (D) and non-defective (N). If five backpacks are randomly selected, what is the probability that the first one is defective and the next four are not? (Please answer fast)

Answer 1

Answer:

$Probability = 0.0266$

Step-by-step explanation:

Given

D = Defective

N = Non-Defective

$D = 3\%$

$D =0.03$

N is calculated as thus:

$N = 1 -D$

$N = 1 - 0.03$

$N = 0.97$

The required probability can be represented as:

Probability = DNNNN

And it is calculated as follows:

$Probability = 0.03 * 0.97^4$

$Probability = 0.0265587843$

$Probability = 0.0266$ -- Approximated