Day Frequency, f A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 783 randomly selected fatal bicycle accidents occurred. At a = 0.10, can you reject the claim that the distribution is uniform? Complete parts a through d below. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 107 112 106 111 120 104 123 Ca) State Ho and H, and identify the claim. Ho: The distribution of fatal bicycle accidents throughout the week is Ha: The distribution of fatal bicycle accidents throughout the week is Which hypothesis is the claim? o Ho o Ha b) Determine the critical value, and the rejection region. = (Round to three decimal places as needed.) Choose the correct rejection region below. O B. Xsx D. X

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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!