A component is assembled in a four-step process. The probability of making a defect in step 1 is .10; in step 2, .20; in step 3, .08; and in step 4, .05. What is the probability that the component will be defective

0.371

Step-by-step explanation:

Given that:

Assembly requires a 4 step process:

Probability distribution of defect :

P(step 1) = 0.1

P(step 2) = 0.2

P(step 3) = 0.08

P(step 4) = 0.05

Firstly, we find the probability that there is no defect in each of the assembly process :

Probability of no defect: = (1 - p(defect))

P(step 1) = 1 - 0.1 = 0.9

P(step 2) = 1 - 0.2 = 0.8

P(step 3) = 1 - 0.08 = 0.92

P(step 4) = 1 - 0.05 = 0.95

Hence,

P(no_defect) = 0.9 * 0.8 * 0.92 * 0.95 = 0.62928

Probability of having a defective component ;

P(defect) = P(no_defect)' = 1 - p(no-defect)

1 - 0.62928 = 0.37072

0.37072

= 0.371

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

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im not sure