“salesdata.txt” contains monthly sales of two products A and B (in $1,000). Assuming that A
and B are normally distributed and independent of each other:
a) Compute the probability that you will sell at least $105,000 of product A on a randomly
selected month. Compute the probability that you will sell at least $105,000 of product B on a
randomly selected month.
b) Compute the probability that you will sell at most $90,000 for each product on a given
month (at the same time)?
c) Given that you sold more than $90,000 of product A in a given month, what are the chances
you will sell at most $90,000 of product B in the same month?
d) Given that you already sold more than $90,000 of product A in a given month, what are the
chances you will sell more than $110,000 in total of product A in the same month?
e) The company is exploring the possibility of spending some extra amount in advertising which
can potentially affect the sales of each product. Assuming that every $1 spent in monthly
advertising results with $1 increase in monthly average sales, how much should the company
spend on advertising for each product (separately) such that the probability that they will sell at
least $110,000 in monthly sales is 95%?
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