For Companies Best and Aplus, each earns an annual profit that is normally distributed with the same positive mean μ. The standard deviation of Best's annual profit is one third of its mean. In a certain year, the probability that Aplus makes a loss (i.e. a negative profit) is 0.8 times the probability that Best does. Assuming that Aplus' annual profit has a standard deviation of 10, please compute (approximately) the standard deviation of Best's annual profit.

For Companies Best and Aplus, each earns an annual profit that is normally distributed with the same positive mean μ. The standard deviation of Best's annual profit is one third of its mean. In a certain year, the probability that Aplus makes a loss (i.e. a negative profit) is 0.8 times the probability that Best does. Assuming that Aplus' annual profit has a standard deviation of 10, please compute (approximately) the standard deviation of Best's annual profit.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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Question

For Companies Best and Aplus, each earns an annual profit that is normally distributed with
the same positive mean μ. The standard deviation of Best's annual profit is one third of its mean.
In a certain year, the probability that Aplus makes a loss (i.e. a negative profit) is 0.8 times the
probability that Best does. Assuming that Aplus' annual profit has a standard deviation of 10,

please compute (approximately) the standard deviation of Best's annual profit.

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