Answer the following about the normal distribution.A. The standard normal distribution is a continuous distribution. TrueFalse B. The z score correspoinding to a number below the mean is positive. TrueFalse C. The area under the standard normal distribution to the left of z = 0 is negative. TrueFalse D. Which of the following is not true about the standard normal distribution? The total area under it is 1.It's symmetric about the mean.It's bell shaped.It's uniform.
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!
Answer the following about the
A. The standard normal distribution is a continuous distribution.
True
False
B. The z score correspoinding to a number below the mean is positive.
True
False
C. The area under the standard normal distribution to the left of z = 0 is negative.
True
False
D. Which of the following is not true about the standard normal distribution?
The total area under it is 1.
It's symmetric about the mean.
It's bell shaped.
It's uniform.
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