Interval in Alive at Start years of Interval 0-4 5-9 10-14 15-19 20-24 25 17 14 10 4 Deaths During Interval 2 1 2 4 1 Withdrawn Alive During Interval 6 2 2 2 2 Probability of Dying in Interval (Q-19) Probability of Surviving Interval Cumulative Probability of Surviving to End of Interval (Q-21) In this example, we know when study subjects decide to withdraw from the study. We know that they are alive up to the point of this withdrawal. To account for this in the survival probability estimates, we should subtract half of the withdrawals from the number of living people at the beginning of each duration from the number of people at risk.

Interval in Alive at Start years of Interval 0-4 5-9 10-14 15-19 20-24 25 17 14 10 4 Deaths During Interval 2 1 2 4 1 Withdrawn Alive During Interval 6 2 2 2 2 Probability of Dying in Interval (Q-19) Probability of Surviving Interval Cumulative Probability of Surviving to End of Interval (Q-21) In this example, we know when study subjects decide to withdraw from the study. We know that they are alive up to the point of this withdrawal. To account for this in the survival probability estimates, we should subtract half of the withdrawals from the number of living people at the beginning of each duration from the number of people at risk.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A theoretical distribution of all possible samples (from repeated sampling) and the probability of each is called a _______. a.sampling distribution b. standard deviation c. hypothesis d. standard error
The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with a mean of 12 minutes. a. What is the probability that the time interval between two successive barges will be less than 14.8 minutes? b. Determine the 77 percentile value for the time interval between two successive barges.
If Y is a random variable from an exponential distribution with a mean of 5; what is the probability that Y is more than 7?
Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.
2. Statistical measures of stand-alone risk Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during a possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Ethan owns a two-stock portfolio that invests in Happy Dog Soap Company (HDS) and Black Sheep Broadcasting (BSB). Three- quarters of Ethan's portfolio value consists of HDS's shares, and the balance consists of BSB's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Happy Dog Soap Black Sheep Broadcasting Strong 0.50 50% 70% Normal 0.25 30% 40% Weak…
Mean St. Dev. Distribution Males 23.5 in. 1.1 in. Normal Females 22.7 in. 1.0 in. Normal Use the data in the table for sitting adult males and females. These data are used often in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Find the probability that a female has a back-to-knee length between 22.0 in and 24.0 in Warning! This question is not multiple choice! You are to fill in the blank with the correct answer. Write your answer in the form 0.1234
D. The mean annual cost to attend a attend a college is $44,324. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,590. Ninety percent of all students pay less than what amount?
Wait times at a certain DMV office follow an Exponential distribution. The expected wait time is 27 minutes. Find the following. Round to two decimals if needed. Answers of 0 and 100% are possible due to rounding. a. From repeated samples of 36 people, what percentile is a mean wait time of 28 minutes? b. Out of 63 random samples of 36 people, how many would you expect to have a mean wait time of between 28 and 29 minutess? c. From repeated samples of 36 people, find the wait time representing the cutoff for the top 4 percent of mean wait times : d. What percent of random samples of size 36 would you expect to have a mean wait time that exceeds 29 minutes?
The table compares what Plainfield College students did after graduating with a bachelor's degree in 1992, 1998, and 2003. A graphical display of the conditional distributions of what students did after graduation by year is given. Does this study present any evidence that postgraduation plans have changed over this 11-year period? Explain. Choose the best answer below. A. Yes. There is evidence that the percentage of Plainfield College graduates continuing their education and entering the work force directly after receiving a bachelor's degree has increased from 1992 to 2003. B. No. The percentage of Plainfield College graduates continuing their education has increased from 1992 to 2003. Likewise, the percentage of graduates entering the work force directly after receiving a bachelor's degree appears to have decreased from 1992 to 2003. However, this is not sufficient evidence to show any change due to the fact that the number of students graduating has increased over this same…
The waiting time before service in a bank is exponentially distributed with a mean waiting time of 5 minutes.a. What is the median waiting time.b. You enter the bank and find that your friend has been waiting in the queue for service for past 2 minutes. Upon your arrival what is the probability that your friend will wait for another 4 minutes?c. What is the mean and variance of the waiting time in the bank?
What is the answer
Assume that the number of days from conception to birth is normally distributed with a mean of 258 days and a standard deviation of 10 days. What is the probability that my pregnancy will be between 238 and 278 days? O 75 85 47.5 98 O 95