4. obtain follows Poobability of each class os $(zim)-$(zi) For last class 1-(zi)

Type II error occurs when an individual fails to reject H0 when H0is false

a Deline the following terms as used in survival analysis (eft rensoring (i) Informative censoring ThaVbeg cendng n hich ue (b) Let the event of interest be contracting lung cancer. The lung cancer hazard rate for an d - Cato what 3nd male Imoker is gven ty (e)=0.027 +0.00025(-40),xz 40 Assuming that a 40-year old nale smoker is still alive at his age S0, tetermine the pritability that he survives to age 50 without contracting lung cancer?

Estimate In(5) using linear interpolation if In(1)=0 and In(6)=1.7917.

Assume that the entire sample has 4 positive observations and 2 negatives observations. Variable X1: at the left branch has 9 positive observations and 4 negatives observations;at the right branch has 8 positive observations and 8 negatives observations. What is the information gain or reduction in uncertainty  of X1 using the Gini index? (round to two decimal spaces)

(1 point) Let Y be a Binomial variable counting the number of successes in 70 independent trials where the probability of success at each trial is 0.57; that is, Y - Bin(70, 0.57). Part a) Use the pbinom function in R to find P(35 0.25.

Find Var(X) if X is a Uniformly distributed b Binomially distributed c Normally distributed By Dr. S. O. Edeki Department of Mathematics, Covenant University, Nigeria.

** In Chapter 3, you learned  that  in a counting experimen t, the uncerta inty associated with a counted  number  is given  by  the "square-root  rule"  as the square root of that number. This rule can now be made more precise with the following statements (proved in Chapter 11): If we make several counts of the number 11 of random events that occur in a time T, then:  (I) the best  estimate for the true average number tha1 oocur in time T is the mean 'ii = l..vi!N of our mcasuremems,and (2) the sta11dard deviatio11 of the observed numbers should be approximately equal to the square root of this same best estimate; that is, the uncer­ tainty in each measurement is .,/f,. In  particular, if we  make only  one count  11,  the best  estimate is just  11 and  the uncertainty  is the square  root  --fi,; this  result  is just the square-root rule of Chapter 3 with the additional in formation that the "uncer­ tainty" is actually the standard deviation and gives the margins wi thin which we…

The mean number of patients admitted per day to the emergency room of a small hospital is 0.5. If, on any given day, there are only 6 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients? P(Y > 1-) (formula) (numeric result) Use: y for the value of the variable )/ ) for fractions (O! for factorial ) for the exponential function e^(

Find the probability for P(y < 0 or y > 3) if y is distributed as N(1, 9)