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Suppose commute times in a large city are normally distributed and that 66.60% of commuters in this city take more than...

Suppose commute times in a large city are normally distributed and that 66.60% of commuters in this city take more than 21 minutes to commute one-way. If the standard deviation of such commutes is 6.0 minutes, what is the mean commute?

(Round your answer to 3 decimal places.)

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Answer #1

Ans. For the probability of 0.666, the value of Z, we can find from the normal distribution table or Z table i.e. Z=-2.13

We use the value of Z to get the mean value as following:0.666 p=66.60% o=6 minutes for area p=0.666 Z will be z=-2.13 (from the z table ) we know that Z =x -u conare u is the mean -

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