Q. 5 A gasoline wholesale distributor has bulk storage tanks that hold fixed supplies and are filled every Monday. Of interest to the wholesaler is the proportion of this supply that is sold during the week. Over many weeks of observation, the distributor found that this proportion could be modeled by a beta distribution with a = 4 and B = 2. Find the probability that the wholesaler will sell at least 90% of her stock in a given week.

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Q. 5 A gasoline wholesale distributor has bulk storage tanks that hold fixed supplies and are
filled every Monday. Of interest to the wholesaler is the proportion of this supply that is sold
during the week. Over many weeks of observation, the distributor found that this proportion
could be modeled by a beta distribution with a = 4 and ß = 2. Find the probability that the
%3D
wholesaler will sell at least 90% of her stock in a given week.
Transcribed Image Text:Q. 5 A gasoline wholesale distributor has bulk storage tanks that hold fixed supplies and are filled every Monday. Of interest to the wholesaler is the proportion of this supply that is sold during the week. Over many weeks of observation, the distributor found that this proportion could be modeled by a beta distribution with a = 4 and ß = 2. Find the probability that the %3D wholesaler will sell at least 90% of her stock in a given week.
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