# Category: Probability Distribution

Statistics Assignment Library

#### Solved:The success rate of corneal transplant surgery is 85. The surgery is performed on six patients

The success rate of corneal transplant surgery is 85%. The surgery is performed on six patients. (Adapted from St. Luke's Cataract & Laser Institute) (a) Construct a binomial distribution. (b)…

#### Solved:The number of planes arriving per day at a small private airport is a random variable having a Poisson distribution with lambda = 28.8

The number of planes arriving per day at a small private airport is a random variable having a Poisson distribution with $\lambda = 28.8$. What is the probability that the…

#### Solved:Items are packed into boxes of 1000, and each item has a probability of 0.001 of having some type of fault

a. Items are packed into boxes of 1000, and each item has a probability of 0.001 of having some type of fault. What is the probability that a box will…

#### Solved:The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter

The number of parking tickets issued in a certain city on any given weekday has a Poisson distribution with parameter $\lambda = 50$. What is the approximate probability that a.…

#### Solved:Imagine you are in a game show. There are 4 prizes hidden on a game board with 10 spaces. One prize is worth

Imagine you are in a game show. There are 4 prizes hidden on a game board with 10 spaces. One prize is worth \$100, another is worth \$50, and two…

#### Solved:A certain type of light bulb has lifetimes that follows an exponential distribution with mean 1000 hours

A certain type of light bulb has lifetimes that follows an exponential distribution with mean 1000 hours. Find the median lifetime, i.e. the lifetime x such that 50% of the…

#### 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…

#### 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…

#### 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 $T$…

#### 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.…