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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)

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MrRoyal

Answer:

[tex]Probability = 0.0266[/tex]

Step-by-step explanation:

Given

D = Defective

N = Non-Defective

[tex]D = 3\%[/tex]

[tex]D =0.03[/tex]

N is calculated as thus:

[tex]N = 1 -D[/tex]

[tex]N = 1 - 0.03[/tex]

[tex]N = 0.97[/tex]

The required probability can be represented as:

Probability = DNNNN

And it is calculated as follows:

[tex]Probability = 0.03 * 0.97^4[/tex]

[tex]Probability = 0.0265587843[/tex]

[tex]Probability = 0.0266[/tex] -- Approximated

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