Exponential distribution with a mean time

Reference no: EM13981900

1. A recent survey published in BusinessWeek concludes that Gatorade commands an 83% share of the sports drink market versus 11% for Coca-Cola's PowerAde and 3% for Pepsi's All Sport. A market research ?rm wants to conduct a new taste test for which it needs Gatorade drinkers. Potential participants for the test are selected by random screening of drink users to ?nd Gatorade drinkers. What is the probability that

a. The ?rst randomly selected drinker quali?es.

b. Three soft drink users will have to be interviewed to ?nd the ?rst Gatorade drinker.

2. The time between customer arrivals at a bank has an exponential distribution with a mean time between arrivals of three minutes. If a customer just arrived, what is the probability that another customer will not arrive for at least two minutes?

3. Lightbulbs manufactured by a particular company have an exponentially distributed life with mean 100 hours.

a. What is the probability that the lightbulb I am now putting in will last at least 65 hours?

b. What is the standard deviation of the lifetime of a lightbulb?

Reference no: EM13981900

Questions Cloud

What is the change in the momentum of the sled : A dog team pulls a sled on ice with a horizontal force of 300 N, covering a distance of 15 m in 5 seconds. The sled moves on the ice without friction. What is the change in the momentum of the sled during this event?

Probability distribution of number of raffles tables : The Bombay Company offers reproductions of classic 18th- and 19th-century English furniture pieces, which have become popular in recent years. The following table gives the probability distribution of the number of Raffles tables sold per day at ..

Determine the forces that support posts : Determine the forces that support posts 1 and 2 (separated by 1.4 m) exert on the board when a 60-kg person stands on the end of the board 2.8 m from support post 2.

Write a cdr report : compiling a Competency Demonstration Report (CDR). The CDR assessment is based primarily upon the undergraduate qualification and demonstrated graduate competencies.

Exponential distribution with a mean time : The time between customer arrivals at a bank has an exponential distribution with a mean time between arrivals of three minutes. If a customer just arrived, what is the probability that another customer will not arrive for at least two minutes?

Construct a null and alternative hypothesis : A scientist believes that a population mean is exceeding to 250. He decides to take a random sample of 100 measurements. The sample comes out to be 259 and Standard Deviation is 40. The value of α= 0.05. Construct a null and alternative hypothesis

Municipal administration in the netherlands : Based on the survey conducted by a municipal administration in the Netherlands, Monday appeared to be managements' preferred day for laying off workers. Of the total number of workers laid off in a given period, 30% were on Monday, 25% on Tuesday,..

Establish single convenient coordinate system for both coils : Select a point along the axis of the two coils at which you will determine an equation for the magnetic field. To solve this problem, add the magnetic field from each coil at the selected point along the axis.The origin of your coordinate system f..

Specific details about the person place and object : In Week Three, you wrote a personal essay draft in which you described a person, place, or object that has special meaning in your life or a particular moment or occurrence in your life that had special meaning to you.

User Account

All Pages