Exam 2: Probability Concepts and Applications

Assume that you have a box containing five balls: two red and three white.You draw a ball two times,each time replacing the ball just drawn before drawing the next.The probability of drawing only one white ball is 0.20.

What is the probability that F is between 4 and 5,given a df₁ = 4 and df₂ = 6?

If two events are mutually exclusive,then

A company is considering producing two new electronic games designed for the popular Gameboy toy.Based on market data,management believes that there is a 60 percent chance that a "cops and robbers" game will be successful and a 40 percent chance that a "let's play house" game will be successful.As these products are completely different,it may be assumed that the success of one is totally independent of the success of the other.If two products are introduced to the market,what is the probability that both are successful?

The number of phone calls coming into a switchboard in the next five minutes will either be 0,1,or 2.The probabilities are the same for each of these (1/3).If X is the number of calls arriving in a five-minute time period,what is the mean of X?

Although one revision of prior probabilities can provide useful posterior probability estimates,additional information can be gained from performing the experiment a second time.

Assume you have a normal distribution representing the likelihood of completion times.The mean of this distribution is 10,and the standard deviation is 3.The probability of completing the project in 7 or fewer days is the same as the probability of completing the project in 13 days or more.

For df₁ = 3 and df₂ = 7,what is the probability that F is greater than 5?

At a university with 1,000 business majors,there are 200 business students enrolled in an introductory statistics course.Of these 200 students,50 are also enrolled in an introductory accounting course.There are an additional 250 business students enrolled in accounting but not enrolled in statistics.If a business student is selected at random,what is the probability that the student is enrolled in accounting?

"The probability of event B,given that event A has occurred" is known as a ________ probability.

The variance of a binomial distribution is expressed as np/(1 - p),where n equals the number of trials and p equals the probability of success of any individual trial.

In a production run of 300 units,there are exactly 20 defective items and 280 good items. (a)What is the probability that a randomly selected item is defective? (b)If two items are sampled without replacement,what is the probability that both are good? (c)If two items are randomly sampled without replacement,what is the probability that the first is good but the second is defective?

Queuing Theory makes use of the

If the sale of ice cream and pizza are independent,then as ice cream sales decrease by 60 percent during the winter months,pizza sales will

The Department of Motor Vehicles (DMV)can service customers at a rate of 20 per hour (or 1/3 per minute)when it comes to license renewals.The service time follows an exponential distribution.What is the probability that it will take less than 3 minutes for a particular customer to get a license renewal?

Given three statistically independent events (A,B,C),the joint probability of P(ABC)= P(A)× P(B)× P(C).

In a given office,the color printer breaks down with a probability of 20% in any month.A binomial process is assumed for a period of 10 months. (a)What is the probability that the printer breaks down exactly 2 times? (b)What is the probability that the printer breaks down at most 1 time? (c)What is the probability that the printer breaks down more than once?

Which of the following statements concerning the F distribution is true?

Which of the following is not true about continuous random variables?

If two events (A,B)are independent,then the conditional probability of P(A|B)= ________.