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  • The probability that certain electronic component fails when used for the first time is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99 . The probabil

The probability that certain electronic component fails when used for the first time is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99 . The probability that a new component will last for one year is
 

Option: 1

0.1
 


Option: 2

0.9


Option: 3

0.891


Option: 4

0.119


Answers (1)

best_answer

Probability that the electronic component fails when first use,

\mathrm{ P(F)=0.10 }

\mathrm{\therefore \quad P\left(F^{\prime}\right)=1-P(F)=1-0.10=0.90}

Let E be the event that a new component will last for one year, then

\mathrm{ P(E)= P\left(F^{}\right) P\left(\frac{E}{F}\right)+P\left(F^{\prime}\right) P\left(\frac{E}{F^{\prime}}\right) }

                                                                     [by using total probability theorem]

\mathrm{ =0.10 \times 0+0.90 \times 0.99=0.891 }

Hence option 3 is correct.










 

Posted by

Shailly goel

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