# Stats Library

## Statistics Assignment Library

1. ##### Solved:The probability that you will win a game is 0.45. (a) If you play the game 80 times, what is the most likely number of wins
The probability that you will win a game is 0.45. (a) If you play the game 80 times, what is the most likely number of wins? (b) What are the mean and variance of a binomial distribution with p =...
2. ##### Solved:It is often assumed that the auto traffic that arrives at the intersection during a unit time period has a Poisson distribution with expected value
It is often assumed that the auto traffic that arrives at the intersection during a unit time period has a Poisson distribution with expected value $m$. Assume that the number of cars $X$ that arrive at an intersection from the...
3. ##### Solved:Let $T$ be the survival time and $T$ follows an exponential distribution.
Let $T$ be the survival time and $T$ follows an exponential distribution. Derive the expression for survival function of $T$. Also obtain expression for force of mortality. Solution Let $T$ be the survival time. The simplest parametric model for survival...
4. ##### Solved:Derive the expression for survival function of $T$,
Derive the expression for survival function of $T$, where $T$ is the survival time having Two parameter weibull distribution. Solution Let the survival time $T$ follows two parameter Weibull distribution. The pdf of $T$ is  \begin{aligned} f(x;\alpha, \beta)&= \begin{cases}...