eharris8851 eharris8851
  • 21-01-2020
  • Mathematics
contestada

Find the probability that a Type A bulb lasts at least 300 hours and a Type B bulb lasts at least 400 hours.

Respuesta :

EamonnAdams1992 EamonnAdams1992
  • 21-01-2020

Answer:

[tex]P(X>3)P(X>4)=(1-F_1(3))(1-F_2(4))[/tex]

Step-by-step explanation:

We require more information by I will explain in principle:

If Type A has at least 300 hours and Type B at least 400 hours.

[tex](X>3)(Y>4)=P(X>3)P(X>4)[/tex]

You need to determine the Probability density function of X and Y and then subtract 1 from both

[tex]P(X>3)P(X>4)=(1-F_1(3))(1-F_2(4))[/tex]

This will give you the probability of the expression.

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