BRAIN CANCER SURVIVAL RATE Glioblastoma is the common and most deadly of brain tumors, and it kills most patients in a little over a year. The probability of survival for patients with a glioblastoma t years after diagnosis is approximated by the function 100 P(t) = (0

Suppose that a decision maker's risk atitude toward monetary gains or losses x given by the utility function(x) = (50,000+x) 34/2. Suppose that a decision maker has the choice of buying a lottery ticket for $5, or not. Suppose that the lottery winning is $1,000,000, and the chance of winning is one in a thousand. Then..... O The decision maker should not buy the ticket, as the utility from not buying is 223.6, and the expected utility from buying is 223.59. The decision maker should not buy the ticket, as the utility from not buying is 223.6067, and the expected utility from buyingis 223.6065. O The decision maker should buy the ticket, as the utility from not buying 223.60, and the utility from buying is 224.4. The decision maker should buy the ticket, as the utility from not buying 223.6065, and the utility from buying is 223.6067.

A theater group holds a fund-raiser. It sells 100 raffle tickets for $6 apiece. Suppose you purchase four tickets. The prize is two passes to a Broadway show, worth a total of $150.   Construct a PDF. (Round your answers to two decimal places.)   X P(X=x) x * P(X=x) Loss       Profit         If this fund-raiser is repeated often and you always purchase four tickets, what would be your expected average winnings per raffle? (Round your answer to two decimal places.) $

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