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The dice game craps is played as follows. The player throws two dice, and if the sum is seven or eleven, then he wins. If the sum is two, three, or twelve, then he loses. If the sum is anything else, then he continues throwing until he either throws that number again (in which case he wins) or he throws a seven (in which case he loses). Write a program to simulate a game of craps. You can use the following snippet of code to simulate the roll of two (fair) dice: x <- sum(ceiling(6*runif(2)))
Use frequency distribution to create a probability distribution, determine the (b) mean,(c) variance and (d) standard deviation of probability distribution and (e) interpret results in context of real life situation.
If a random sample of 40 voters is chosen, approx. the probability that more than 20 favor this candidate. Use the normal approximation to the binomial with a correction for continuity.
A personnel manager has a computer-generated list of all employees that indicates that 70 percent are full-time employees, 20 percent are part-time employees, and 10 percent are furloughed or laid-off employees.
The Roller Products Company produces roller skates and skateboards. It has three production lines. Production line 1 makes skateboard platforms.
A recent national study showed that approximately 30% of college students binge-drink. Let x equal the number of students in a random sample size of n=12 who binge drink. Find the probability that
What information is provided by the sign (= or -) of the Pearson correlation? What information is provided by numerical value of the Pearson correlation?
When we have data that are measured at the interval/ratio level of measurement, there are:
Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. Here are data on the "penetrability" of the same type of soil at 2 levels of compression.
You have just started own airline. You have one plane for a route connecting Austin, Boise, and Chicago. One route is Austin-Boise-Chicago and a second route is Chicago-Boise-Austin.
The camera department of a large department store sells three different brands of cameras: Proxima, Yakima, and Tetron. Approximately 60% of the cameras sold are Yakimas with Tetrons accounting for 30% of sales and Proxima the remaining 10%.
A multiple choice test consists of 25 questions with possible answers of a, b, c, d, and e. Estimate the probability that with random guessing, the number of correct answers is between 3 and 10 inclusive.
Why is population shape of concern when estimating a mean? What does sample size have to do with it?
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