Questions from Applied Statistics

Q: Customers visit aWeb site, and the probability of an order if

Customers visit aWeb site, and the probability of an order if a customer views five or fewer pages is 0.01. However, if a customer views more than five pages, the probability of an order is 0.1. The p...

Q: An array of 30 LED bulbs is used in an automotive light

An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001 and defective bulbs occur independently. Determine the following: a. Probability that an auto...

Q: The probability that a visitor to aWeb site provides contact data for

The probability that a visitor to aWeb site provides contact data for additional information is 0.01. Assume that 1000 visitors to the site behave independently. Determine the following probabilities:...

Q: The article “An Association Between Fine Particles and Asthma Emergency Department

The article “An Association Between Fine Particles and Asthma Emergency Department Visits for Children in Seattle” [Environmental Health Perspectives June 1999, Vol. 107(6)] used Poisson models for th...

Q: Consider the time to recharge the flash in cell-phone cameras

Consider the time to recharge the flash in cell-phone cameras as in Example 3.1. Assume that the probability that a camera passes the test is 0.8 and the cameras perform independently. What is the sma...

Q: Let the random variable X be equally likely to assume any of

Let the random variable X be equally likely to assume any of the values 1/8, 1/4, or 3/8. Determine the mean and variance of X.

Q: Let X denote the number of bits received in error in a

Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with p = 0.001. If 1000 bits are transmitted, determine the follow...

Q: An automated egg carton loader has a 1% probability of cracking

An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per dozen is cracked. Assume that each egg load is an independent event. a. Wh...

Q: A congested computer network has a 1%chance of losing a

A congested computer network has a 1%chance of losing a data packet that must be resent, and packet losses are independent events. An e-mail message requires 100 packets. a. What is the distribution o...

Q: A particularly long traffic light on your morning commute is green on

A particularly long traffic light on your morning commute is green on 20% of the mornings. Assume that each morning represents an independent trial. a. What is the probability that the first morning t...