Sophie Tucker, a marketing student at State University has been having cash flow problems this year and her parents have

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Sophie Tucker, a marketing student at State University has been
having cash flow problems this year and her parents have run out of
patience with her requests for money. Sophie’s monthly income
is mainly from a part-time waitress job at a local pizza restaurant
but she is also making extra money by tutoring on campus. Her
monthly income follows a discrete probability distribution as shown
in the following table (assume that this income is received at the
beginning of each month.
Monthly Income
Probability
$860
.25
$960
.35
$1060
.25
$1160
.15
Tucker has expenditures that vary from month to month, and
estimates that they will follow the distribution shown in this
table distribution:
Monthly Expenses
Probability
$800
.10
$900
.15
$1000
.45
$1100
.30
Sophie currently has $1300 in her checking account.