dr quack is a physician Dr. Quack Dr. Quack is a physician with a unique approac
ID: 3378857 • Letter: D
Question
dr quack is a physician Dr. Quack Dr. Quack is a physician with a unique approach to medicine. She believes all illness can be attributed to just 10 different causes. The table below lists Quack's diagnoses, treament costs, and the probability each patient has a particular affliction. Use this information to answer the following items: What Is the probability the cost will be at least $230? What is the E(x) for this distribution? What Is the standard deviation for this distribution? What is the probability the cost will be less than $110? What is the probability the cost will be at least $150 but less than $190?Explanation / Answer
Q1 P(x>=230)=1-P(x<230)
we sum the probabilites for values less than 230 and then subtract with 1.
=1-0.639=0.361
Q2: E(X)=sum(X*P(X))
E(X)=355.268
Q3 P(X<110)
sum probabilites for values <110
P(X<110)=0.075
Q4 P(150<=X<190)= sum probabilites form 150 to less than 190.
P(150<=X<190)=0.196
x p(x) x*P(X) 68 0.019 1.292 72 0.021 1.512 100 0.035 3.5 126 0.048 6.048 142 0.066 9.372 166 0.088 14.608 188 0.108 20.304 192 0.116 22.272 220 0.138 30.36 246 1 246 355.268Related Questions
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