1. Stat 321 – Day 16 Continuous random variables (cont.)

2. Reminders No lab tomorrow Lab 5 due Monday HW 5 due Tuesday Review sheet/problems posted Sunday Review day Tuesday Exam 2 Thursday

3. Last Time – Famous continuous distributions Calculating probabilities for:  Gamma distribution Standardize, use table A.4  Weibull distribution Use cdf  Normal distribution Standarize, table A.3  Lognormal distribution Standardize ln(x), table A.3  Beta distribution integrate Make sure you can also calculate E(X) and V(X) using given formulas

4. Today - practice Work with a partner, book on Day 16 handout

5. Example 1 (a) (22-20)/(25-20)=.4 (b) 1-F(10; 2) = 1-.997 =.003 (c) e^(-(6/2.38)^1.15)=.0553 (d) F(3)-F(1)=e -.93 - e -3(.93) =.333 (e)  ((ln(50)-3.5)/1.2) =.342

6. (f) Potassium levels ~ N(3.7,.2) Z=(3.5-3.75)/2 = -1.25 Probability below Z=-1.25:.1056 About 10% of the time will a healthy patient test hypokalemic “A Statistician’s lifelong ambition is to only be wrong 5% of the time…”