![Suppose that a given individual in a population has a survival time which is exponential with a hazard rate 6. Each individuals hazard rate s potentially different and is sampled from a gam rma distribution with density function TCB) Let X be the life length of a randomly chosen member of this popula- tion. (a) Find the survival function of X. (Hint: Find S(x) Eole]) (b) Find the hazard rate of X. What is the shape of the hazard rate?](http://img.homeworklib.com/questions/d634deb0-472f-11ea-b882-8db14f8390f1.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
Suppose that a given individual in a population has a survival time which is exponential with...
Given a covariate Z, suppose that the log survival time Y follows a linear model with...
Given a covariate Z, suppose that the log survival time Y follows a linear model with a logistic error distribution, that is, Y = ln(X) = μ + βΖ + σ W where the pdf of W is given by eu f(w) = (1 + ewy, (a) For an individual with covariate Z, find the conditional survival function of the survival time X, given Z, namely, S(x |Z). (b) The odds that an individual will die prior to time x...
2.5.12. The length of time that an individual talks on a long-distance telephone call has been...
2.5.12. The length of time that an individual talks on a long-distance telephone call has been found to be of a random nature. Let X be the length of the talk; assume it to be a continuous random variable with probability density function given by 0, elsewhere. Find (a) The value of a that makes fx) a probability density function. (b) The probability that this individual will talk (i) between 8 and 12 min, (ii) less than 8 min,i) more...
3. Suppose that the 5-year survival probability, X, for women with breast cancer who live in...
3. Suppose that the 5-year survival probability, X, for women with breast cancer who live in a rural county follows Beta distribution with probability density function (pdf) fx (20) = 0.00-1 where 0 < x < 1 and parameter 6 > 0. Let X1, ..., X, be a random sample of size n from a population of rural counties. Researchers intend to make statistical inference on the parameter 6 using collected data X1, ..., (a) Let Y; = – log(Xi)...
Suppose X has an exponential distribution with probability density function: fo) = 2 le-21x for x...
Suppose X has an exponential distribution with probability density function: fo) = 2 le-21x for x > 0. Then P(X> 1 1 | X丬0) is. O 1 A doctor knows 17 % of all her patients are late for their appointments. Given 6 randomly selected patients, what is the approximate probability that exactly 3 of them are late for their appointments? (Please answer to 4 decimal places). Number A rock concert producer has scheduled an outdoor concert. If it is...
1) Repeated doubling, in which each doubling occurs in the same amount of time, is a...
1) Repeated doubling, in which each doubling occurs in the same amount of time, is a hallmark of linear growth. A) True B) False 2) Money in a bank account earning compound interest at an annual percentage rate of 3% represents an example of linear growth. A) True B) False 3) Suppose you had a magic bank account in which your balance doubled each day. If you started with just $ 1, you'd be a millionaire in less than a...
Given a covariate Z, suppose that the log survival time Y follows a linear model with a logistic error distribution, that is, Y = ln(X) = μ + βΖ + σ W where the pdf of W is given by eu f(w) = (1 + ewy, (a) For an individual with covariate Z, find the conditional survival function of the survival time X, given Z, namely, S(x |Z). (b) The odds that an individual will die prior to time x...
2.5.12. The length of time that an individual talks on a long-distance telephone call has been found to be of a random nature. Let X be the length of the talk; assume it to be a continuous random variable with probability density function given by 0, elsewhere. Find (a) The value of a that makes fx) a probability density function. (b) The probability that this individual will talk (i) between 8 and 12 min, (ii) less than 8 min,i) more...
3. Suppose that the 5-year survival probability, X, for women with breast cancer who live in a rural county follows Beta distribution with probability density function (pdf) fx (20) = 0.00-1 where 0 < x < 1 and parameter 6 > 0. Let X1, ..., X, be a random sample of size n from a population of rural counties. Researchers intend to make statistical inference on the parameter 6 using collected data X1, ..., (a) Let Y; = – log(Xi)...
Suppose X has an exponential distribution with probability density function: fo) = 2 le-21x for x > 0. Then P(X> 1 1 | X丬0) is. O 1 A doctor knows 17 % of all her patients are late for their appointments. Given 6 randomly selected patients, what is the approximate probability that exactly 3 of them are late for their appointments? (Please answer to 4 decimal places). Number A rock concert producer has scheduled an outdoor concert. If it is...
1) Repeated doubling, in which each doubling occurs in the same amount of time, is a hallmark of linear growth. A) True B) False 2) Money in a bank account earning compound interest at an annual percentage rate of 3% represents an example of linear growth. A) True B) False 3) Suppose you had a magic bank account in which your balance doubled each day. If you started with just $ 1, you'd be a millionaire in less than a...
Most questions answered within 3 hours.
-
Based on the range, which of the following sets of scores has
the greatest variability? 3,...
asked 37 seconds ago -
The extent to which assets are financed by borrowed funds and
other liabilities is indicated by:...
asked 58 minutes ago -
Explain in detail
Germany is the fifth largest economy
explain what goods and services Germany specializes...
asked 1 hour ago -
The density of platinum is 21.45 g/mL. If a cube of platinum
with a mass of...
asked 1 hour ago -
Accounts Receivable
Sales
A/R Posting
Extended Sales Invoice
Packing Slip
Compare invoice to packing slip 2...
asked 1 hour ago -
Michaella, age 23, is a full-time law student and is claimed by
her parents as a...
asked 1 hour ago -
Why are polymers not typically casted into products?
asked 1 hour ago -
When rolling a die 129 times, what is the probability of rolling
a 6 no more...
asked 1 hour ago -
4. A call option currently sells for $7.75. It has a strike
price of $85 and...
asked 1 hour ago -
1.
You need to prepare 10.0 liters of an acid aqueous solution with a
pH of...
asked 1 hour ago -
Along an aggregate supply curve, if the level of output is less
than the natural level...
asked 1 hour ago -
By 2025, annual consumption in emerging markets will total $30
trillion and contribute more than ________...
asked 1 hour ago