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What is the probability that 2 workers will retire at 65? Find the expected value, variance, and standard deviation of the random variable X defined as 'retirement at 65'.
A bookshelf contains 20 textbooks for different subjects. Among those, 10 of them are used ones, and 10 of them are brand new. You select 2 books and sell one at a time on Oct 11, and Oct 12. Find
Discuss the data that the graph is used to visually represent. Speculate on why the editor chose the graph, as opposed to merelyreporting the data
A random sample of 16 statistics examinations from a large population was taken. The average score in the sample was 78.6 with a variance of 64. We are interested in determining whether the average
The number N of devices that a technician must try to repair during the course of an arbitrary workday is a random variable having a geometric distribution with parameter p = 1/8. We estimate the pr
Suppose heights of adults (measured in inches) are normally distributed with mean 70 inches and standard deviation 10 inches. What can be said about an adult height of 100 inches?
Kuru is a prion disease of the Fore people of highland New Guinea. Kuru is similar to Creutzfeldt-Kakob disease. It was once transmitted by the consumption of deceased relatives at mortuary feasts,
Models of the pricing of stock options often make the assumption of a normal distribution. An analyst believes that the price of an Initech stock option varies from day to day according to normal di
Calculate the probability that the series ends in 4 games,5 games, 6 games, or 7 games. What is the expected value of X , the number of games ittakes to complete the series? Repeat (a) and (b) under t
A student prepares for an exam by studying a list of 10 problems. She can solve 7 of them. For the exam, the instructor selects 6 questions at random from the list of 10. What is the probability tha
Explain how to use random digits to simulate the throw of a single astragalus. Then use the table of random digits at the start of the line 140 to simulate throwing four astragali independently of e
The annual per capita consumption of ice cream (in pounds) in the United States can be approximated by a normal distribution with a mean of 20.7 lbs and a standard deviation of 4.2 lbs. What propor
The concentration of anabolic steroids in urine behaves as an exponential decay. For a specific urine sample, the best-fit exponential function is R = (0.6 mg/L)(0.43)t where R is the concentration
Two species of rhinoceros native to Africa are black rhinos and white rhinos. In 1998, the International Rhino Federation estimated that the African rhinoceros population consisted of 2,600 white rh
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 79 minutes and a standard deviation of 8 minutes. Answer the following questions
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,100 will be accepted. Assume that the c
The breaking strength of a rivet has a mean value of 9,900 psi and a standard deviation of 498 psi. What is the probability that the sample mean breaking strength for a random sample of 40 rivets is
What is the probability that a hotel room costs between $200 and $300 per night (to 4 decimals)? What is the cost of the 20% most expensive hotel rooms in New York City? Round up to the next dollar.
There are 40 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time needed to grade a randomly chosen first examination paper is a random
Let A be the number of rounds until Lionel wins his first stuffed animal. What is the distribution and parameters of A? Also, find the expected value and variance of A.
Let X be the number of teams from SD on Pete's season schedule. What's the probability that none of the Pete's opponents are from SD? What distribution and parameter(s) are you using?
Can someone please check my answer for the following pdf, if its correct, can you then explain how I would get E(X) in this case; I under expected value in discrete case, but not continuous.
A sample has a mean of M=39.5 and a standard diviation of s=4.3, and produces a t statistic of t=2.14. For a two-tailed hypothesis test with a=.05, what is the correct statistical decision for this
Find conditional density function f(x|E) for the experiment of a number selected at random from the interval [0,1], given E, where E is the event that x > 4.