An experiment consists of rolling a pair of dice 42 times. If the random variable Xis defined as the number of times the dice produce a sum larger than 8: [a]What is the expected value of X? Round answer to 2decimal places [a] Expected Value: __________ [b]What is the standard deviationof X?Round answer to 2 decimal places [b] Standard Deviation: __________
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!
An experiment consists of rolling a pair of dice 42 times. If the random variable Xis defined as the number of times the dice produce a sum larger than 8:
[a]What is the
[a] Expected Value: __________
[b]What is the standard deviationof X?Round answer to 2 decimal places
[b] Standard Deviation: __________
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