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  • The bulbs manufactured by a company gave a mean life of 3000 hours with standard deviation of 400 hours. If a bulb is selected at random, what is the probability it will have a mean life less than 2000 hours? Question: 1) Calculate the probability.

The bulbs manufactured by a company gave a mean life of 3000 hours with standard deviation of 400 hours. If a bulb is selected at random, what is the probability it will have a mean life less than 2000 hours? Question: 1) Calculate the probability.

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z=frac2000-3000400=-2.5
P(X<2000)=P(Z<-2.5)=0.5-P(2.5>Z>0)
Due to symmetry
P(X<2000)=05-0.062=04938
probability it willhave a mean life less than 2000 hours is 0.4938

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Deependra Verma

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