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It takes t amount of time for you to navigate the Gauntlet of Pain. The Gauntlet electrifies and shocks anyone on it at random intervals. The intervals between shocks are independently and identically distributed (think Poisson). Obviously, you do not wish to be shocked. Assume shocks are instantaneous. Picture an "opportunity" as a window of time (an interval) that allows you to make it across the Gauntlet without being shocked. Suppose the initial window begins directly after the last shock (shock number 0).
What is the probability that the first opportunity occurs just before the nth shock?
What is the probability that you will have x number of opportunities before the nth shock?
Combining the information above, find the probability that the xth opportunity is a close call (that it occurs immediately before the nth shock).
U sing an equal number of participants, find how many subjects will you need in each group
Find which two variables have the weakest strength of relationship?
If the snowfall from 36 randomly selected years are chosen, determine the probability that the snowfall would be less than 95 inches?
A sample random sample of sixty times resulted in a sample mean of eight & a sample standard deviation of fifteen. Compute 95 percent confidence interval for population mean.
Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.
Show the proportions that you could have used to solve for exercise #3 and #4. Let's say it takes 3000 cows to make enough footballs for one season of the NFL. If the NFL decides to make the official football a bit larger so that it now takes 3400 ..
Show that any complex number z with |z| = 1, other than z = 1, can be expressed as with an appropriate choice of the real parameter t.
If Tom Bombadil's house is 5 miles east of Hobbiton and 12 miles south, what is the straight line distance (omit units)?
water flows from a container at the rate of 2.5 litres per minute. The water flows into a tank that already holds 50 litres. How long in seconds is it before there are 765 litres of water to be in the tank?
Beaver's makes 3 products. Each requires work in a three different departments. What is the projected total profit and how much of each product should be produced?
Moe and Joe flip a slightly unbalanced coin until the one or the other loses all his money. On a single flip Joe wins with probability .49. Joe starts with $8 and Moe start with $4.
A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items?
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