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at a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately normal with mean 276 seconds and standard deviation 38 seconds. which of the following is closest to the proportion of orders that are processed in less than 240 seconds?
at a small coffee shop, the distribution of the number of seconds it takes for a cashier to process an order is approximately normal with mean 276 seconds and standard deviation 38 seconds. which of the following is closest to the proportion of orders that are processed in less than 240 seconds?
Theclosestto the proportion of orders that are processed inless than240 seconds is 17%How to determine the closest proportion?From the question, the given parameters about the distribution areMean value of the set of data = 276Standard deviation value of the set of data = 38The actual data value = 240The z-score of thedata valueis calculated using the following formulaz = (x - mean value)/standard deviationSubstitute the known values in the above equation, so, we have the following representationz = (240- 276)/38Evaluatez = -0.95Theclosest proportionis then calculated as:P(x < 240) = P(z < -0.95)From the z table ofprobabilities, we have;P(x < 240) = 0.17106This givesP(x < 240) = 17.106%ApproximateP(x < 240) = 17%Hence, theclosest proportionis 17%Read more aboutprobabilityat:brainly.com/question/25870256#SPJ1...