Question 1115512: sun couriers, a parcel delivery company, has found that the delivery time of parcel to clients in the durban metropolitan area after airport collection is normally distributed with a mean delivery time equal to 45 minutes( u=45 and a standard deviation of 8 minutes(@=8) ). For newly arrived consignment at durban airport , what is the probability that a randomly selected parcel will take: between 45 and 51 minutes to deliver to the client
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! sun couriers, a parcel delivery company, has found that the delivery time of parcel to clients in the urban metropolitan area after airport collection is normally distributed with a mean delivery time equal to 45 minutes( u=45 and a standard deviation of 8 minutes(@=8) ). For newly arrived consignment at durban airport , what is the probability that a randomly selected parcel will take: between 45 and 51 minutes to deliver to the client?
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z(45) = (45-45)/8 = 0
z(51) = (51-45)/8 = 6/8 = 3/4
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P(45<= x <= 51)= P(0<= z <= 3/4) = normalcdf(0,3/4) = 0.2734
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Cheers,
Stan H.
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