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The length of certain bricks is a random variable with a mean of 8 inches and a standard deviation of 0.1 inch, and the thickness of the mortar between two bricks is a random variable with a mean of 0.5 inch and a standard deviation of 0.03 inch. What is the mean and the standard deviation of the length of a wall made of 50 of these bricks laid side by side, if we can assume that all the random variables involved are independent?
Define a probability density function for the ran dom variable you have defined in (a). Define a prob ability set function appropriate for assigning prob abilities to events relating to testing time required to find the defective chip in a box ..
A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes.
Setting α = 0.05, do you have enough statistical evidence to reject the null hypothesis? Why or why not? Now you want to test whether the population variances are equal. Setting α = 0.05, do you have enough statistical evidence to reject that the p..
The odds ratio between treatments (A, B) and outcome (death, survival) equals 2.0. What do you think about the following interpretation: "The probability of death with treatment A is twice that with treatment B". If you think, the above interpreta..
Essay on Chocolate Consumption and Nobel Prize Winning Chances
A busy professor has to complete N projects. Each project i has a deadline di and the time it takes the professor to complete it is Ti. The professor can work on only one project at a time and must complete it before moving on to a new project. F..
He notices that 21 of the throws come up 7. State the null and alternative hypothesis, and find the P-value of his observations.
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.
For the sample of men, performance on the simulator task declined by an average of 2.9 points with s = 4.1. Is this a statistically significant change? Use a two-tailed test with = .05.
It is estimated that 2% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 95% accurate. What is the probability that an athlete who tests positive is actually a user?
Is the event of choosing card green or blue on the first selection independent of choosing card green or red on the second selection? Why or why not?
Construct a relative frequency distribution for the weights of regular Coke by starting the first class at 0.7900 lb. and use a class width of 0.0050 lb.
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