Exam 3: Probability Distributions

Experimental outcomes must occur as numerical values in order to define their probability distribution.

Delicious Candy markets a two pound box of assorted chocolates.Because of imperfections in the candy making equipment,the actual weight of the chocolate has a continuous uniform distribution ranging from 31.8 to 32.6 ounces. a.Define a probability density function for the weight of the box of chocolate. b.What is the probability that a box weighs (1)exactly 32 ounces; (2)more than 32.3 ounces; (3)less than 31.8 ounces? c.The government requires that at least 60% of all products sold weigh at least as much as the stated weight.Is Delicious violating government regulations?

If x is normally distributed with mean 12 and standard deviation 2,then P(x ≤ 9)is

Z is a standard normal random variable.The P(1.20 $\leq$ z $\leq$ 1.85)equals​

Z is a standard normal random variable.What is the value of z if the area to the right of z is 0.9803?​

If one wanted to find the probability of ten customer arrivals in an hour at a service station,one would generally use the​

The Poisson probability distribution is used with a continuous random variable.

Suppose that the arrival time for the next bus at a bus stop is uniformly distributed between 1 and 25 minutes.The probability that the bus will arrive within the next 5 minutes is 1/6.

Twenty-five percent of all resumes received by a corporation for a management position are from females.Fifteen resumes will be received tomorrow. a.Define the random variable in words for this experiment. b.What is the probability that exactly 5 of the resumes will be from females? c.What is the probability that fewer than 3 of the resumes will be from females? d.What is the expected number of resumes from women? e.What is the variance of the number of resumes from women? ​

A numerical description of the outcome of an experiment is

The probability density function matches each value of a continuous random variable with its probability.

Which of the following is not a property of a binomial experiment?

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes. a.What is the probability that the arrival time between customers will be 7 minutes or less? b.What is the probability that the arrival time between customers will be between 3 and 7 minutes? ​

In a Poisson probability problem,the rate of errors is one every two hours.To find the probability of three defects in four hours,

A standard normal distribution is a normal distribution with

If the Poisson distribution describes the number of occurrences per interval,the exponential distribution describes the length of the interval between occurrences.

An exponential distribution,like the Poisson distribution,can be described by a single parameter.

The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes. a.What is the probability density function for the time it takes to complete the task? b.What is the probability that it will take a worker less than 4 minutes to complete the task? c.What is the probability that it will take a worker between 6 and 10 minutes to complete the task? ​

Water's Edge is a clothing retailer that promotes its products via catalog and accepts customer orders by all of the conventional ways including the Internet.The company has gained a competitive advantage by collecting data about its operations and the customer each time an order is processed. Among the data collected with each order are: number of items ordered,total shipping weight of the order,whether or not all items ordered were available in inventory,time taken to process the order,customer's number of prior orders in the last 12 months,and method of payment. For each of the six aforementioned variables,identify which of the variables are discrete and which are continuous.

A process follows the binomial distribution with n = 8 and p = .3.Find a.P(x = 3) b.P(x > 6) c.P(x ≤ 2)