Question

A patient complaining of severs stomach pains checked into a local hospital. After a series of tests, the doctors narrowed their diagnosis to four possible ailments. They believe there is a 45% chance that the patient has hepatitis; a 25% chance that she has cirrhosis a 15% chance of gallstones and a 15% chance of cancer of the pancreas. The doctors feel certain that the patient has only one of the diseases, but will not know which disease until further tests are performed. The cost associated with treating each disease is given in the table: ease epatitis Cirrhosis Gallstones ancreatic Cancer $16,450 Cost 700 $1.100 3,320 Given this information, find the mean of the probability distribution for the cost of treating the patient. Round your answer to two decimal places Tables 몲Keypad Answer 1 Point 2019 Hawkes Learning

Answer 1

Mean of the probability distribution

$= \sum xp(x)$

= 0.45*700 + 0.25*1100 + 0.15*3320 + 0.15*16450

= 3555.50