Rework problem 30 in section 4.2 of your text, involving the flipping of one of three coins. Assume that you have two fair coins and an unfair coin with Pr[H]=3/17. You randomly select one of these coins, and flip it twice. A random variable X is defined to be the number of heads you observe. How many different
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Rework problem 30 in section 4.2 of your text, involving the flipping of one of three coins. Assume that you have two fair coins and an unfair coin with Pr[H]=3/17. You randomly select one of these coins, and flip it twice. A random variable X is defined to be the number of heads you observe.
How many different values are possible for the random variable X?
Part 2
Fill in the table below to complete the probability density
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