incorrect, 12.1.53

You purchased a​ five-pack of new light bulbs that were recalled because 11
​%
of the lights did not work. What is the probability that at least one of your lights is​ defective?
The probability that at least one of the light bulbs is defective is

Respuesta :

0.442

Step-by-step explanation:

Step 1 :

Given that 11% of the lights are defective.

So probability of a light randomly chosen is defective is .11

This implies probability of a light randomly chosen is not defective is 1 - .11 = .89

Step 2 :

In a pack of 5 light bulbs the probability that none of them are defective is (0.89)^ 5

Hence the probability that at least one of the light bulbs is defective is

1-(0.89)^ 5  = 1 - 0.558 = 0.442

The probability that at least one of the light bulbs is defective is 0.442.

Calculation of the probability:

Since 11% of the lights are defective.

Now the probability of not defective should be

=  1 - .11

= .89

Now the probability that at least one of the light bulbs should be defective is

[tex]= 1-(0.89)^ 5[/tex]

= 1 - 0.558

= 0.442

hence, The probability that at least one of the light bulbs is defective is 0.442.

Learn more about probability here: https://brainly.com/question/24760080