There are two ways for a concrete truck to go from a ready-mixed concrete plant to...

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There are two ways for a concrete truck to go from a ready-mixedconcrete plant to the construction site. The first way is direct,for which the mean and standard deviation of travel time are 30 minand 5 min, respectively. The second way is through Town A. The meanand standard deviation of travel time between the plant and Town Aare 14 min and 5 min, respectively. The mean and standard deviationof travel time between Town A and the construction site are 14 minand 6 min, respectively. If the total travel time is above 45 min,the concrete in the truck will go bad. Calculate the probabilitythat the concrete goes bad for both cases of choosing the directand indirect ways. Assume travel time has a normaldistribution.

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For the direct way we are given the distribution here asThe probability of concrete going bad here is computed asPX 45Converting it to a standard See Answer

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