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scZoUnD [109]
2 years ago
5

In a reliability test there is a 42% probability that a computer chip survives more than 500 temperature cycles. If a computer c

hip does not survive more than 500 temperature cycles, then there is a 73% probability that it was manufactured by company A. Let A be the event that the chip was "made by company A", and B be the event that a chip "survives 500 temperature cycles". That is A made by company A = " ", and B survives 500 temperature cycles = " ". What is the Probability that a computer chip is not manufactured by company A and does not survive more than 500 temperature cycles?
Mathematics
1 answer:
Strike441 [17]2 years ago
7 0

Answer:

The probability is P(B' n A ' ) =  16%

Step-by-step explanation:

From the  question we are told that  

     A  is the event that  the chip was "made by company A"

      B is  the event that a chip "survives 500 temperature cycles"

    The probability that a computer chip survives more than 500 temperature cycles is

     P(B) = 42% = 0.42

 The  probability that does not survive more than 500 temperature cycles and  it was manufactured by company A is  P(A | B' ) =  0.73

The probability that the  computer chip is not manufactured by company A and does not survive more than 500 temperature cycles is mathematically evaluated as

      P(B' n A ' ) =  P (B' | A' ) P(B ')

Where B' \ and \   A' are a A and B complements and  | represented AND operator  

  So  

        P(B' n A ' ) = [1 -  P (B' | A )] [1 - P(B )]

substituting values

         P(B' n A ' ) = [1 -  0.73] [1 - 0.42 ]

        P(B' n A ' ) = (0.27 )(0.58)

        P(B' n A ' ) =0.16

        P(B' n A ' ) =  16%

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Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

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Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

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Answer:

Step-by-step explanation:

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This is because of the 30, 60, and 90 degree rule. The rule states that the hypotenuse is equal to twice the length of the shorter leg, which is the side across from the 30 degree angle.

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