A multiple-choice test has four questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. Use the Binomial table to find the following 1. What is the probability that you answer all the questions correctly? Answer is { 2. What is the probability that you answer only one question correct? Answer is 0.41 0.002 if the distribution is and its standard deviation is 0.59
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!
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