A multiple choice test consists of 50 questions. Each question has 4 possible answers of which only one is correct. Use the normal approximation along with the continuity correction factor to find the probability of getting at least 25 questions correct. (Round answers to two decimal places.) Find the mean and standard deviation for the number of 50 answers. Mean: Standard Deviation: P(x > 25) =P(z > )=
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!
A multiple choice test consists of 50 questions. Each question has 4 possible answers of which only one is correct. Use the normal approximation along with the continuity correction factor to find the
Find the mean and standard deviation for the number of 50 answers.
Mean: Standard Deviation:
P(x > 25) =P(z > )=
For the graph only, round to one decimal place.
Shade: Left of a valueRight of a valueBetween two values2 regions. Click and drag the arrows to adjust the values.
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