Norman is a student at a college in Durban. The amount of time, in minutes, that Norman walks to the college for his final examinations is constantly distributed between 15 to 40 minutes, inclusive. Use this information to answer the following questions. 1. Name the continuous probability distribution described above. Explain in detail why it is called the distribution of little information. 2. Calculate the probability that the student will take between 28 and 38 minutes. Provide interpretation for your answer. 3. Find the probability that the student will take no more than 30 minutes to arrive at the college. Provide interpretation for your 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!
Norman is a student at a college in Durban. The amount of time, in minutes, that Norman walks to the college for his final examinations is constantly distributed between 15 to 40 minutes, inclusive. Use this information to answer the following questions.
1. Name the continuous
2. Calculate the probability that the student will take between 28 and 38 minutes. Provide interpretation for your answer.
3. Find the probability that the student will take no more than 30 minutes to arrive at the college. Provide interpretation for your answer.
4. Compute the probability that Norman will take least 35 minutes to get to the college. Provide interpretation for your answer.
5. Calculate the mean, variance and the standard deviation of the distribution described
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