Suppose Paul has two monthly bills, one for utilities and one for cable services. Paul's utility bill includes separate charges for gas and electricity usage. The total number of dollars he spends each month for utilities is ny. Paul's cable bill includes separate charges for his cable television subscription and his internet service. The total number of dollars he spends on cable services each month is nc. Assume that the true, long-run proportion pE of Paul's utility bill due to electricity usage is known to be 0.70. Assume that the true, long-run proportion pr of his cable bill due to television service is known to be 0.35. The number of dollars Paul spends each month for electricity is a binomial random variable E with mean µg and standard deviation O E. The number of dollars he spends each month for cable television is a binomial random variable T with mean µr and standard deviation or. The correlation pEr between E and T is 0.40. The total number of dollars nu Paul spends one month on utilities is $70, and the total number of dollars nc he spends one

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