Suppose that “duration of any attempt in an effort to score (X)” by either team in college soccer games is uniformly distributed between 20 and 130 seconds. If an attempt just completed. (round your answers to 2 decimal places) a. Fill in the blanks. Data type is Answer Measurement scale is Answer Mean of random variable X is Answer seconds Variance of random variable X is Answer b. If an attempt just completed. What is the probability that next attempt will take more than 2 minutes? Answer
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!
Suppose that “duration of any attempt in an effort to score (X)” by either team in college soccer games is uniformly distributed between 20 and 130 seconds. If an attempt just completed. (round your answers to 2 decimal places)
a. Fill in the blanks.
Data type is Answer
Measurement scale is Answer
Mean of random variable X is Answer seconds
Variance of random variable X is Answer
b. If an attempt just completed. What is the probability that next attempt will take more than 2 minutes? Answer
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