ormally distributed with mean 32 and standard deviation 10. use the cumulative Z-score table to answer the following questions. write answers in decimal form using 4 decimal places. a. Find the area under the normal curve to the left of data value 42. b. Find the area under the normal curve to the left of the data value 58. c. Find the area under the normal curve to the right of the data value 35. d. Find the area under the normal c
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 variable is
use the cumulative Z-score table to answer the following questions.
write answers in decimal form using 4 decimal places.
a. Find the area under the normal curve to the left of data value 42.
b. Find the area under the normal curve to the left of the data value 58.
c. Find the area under the normal curve to the right of the data value 35.
d. Find the area under the normal curve to the right of the data value 23.
e. Find the area under the normal curve between the data values 23 and 58.
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