90. Choose the correct answer below.
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!
![Consider the normal curve in the figure to the right,
which illustrates the relative frequencies in a
distribution of systolic blood pressures for a sample
of female students. The distribution has a standard
deviation of 13.
75
90
105
120
Blood pressure
135
.....
b. Estimate the percentage of students whose blood pressure is less than 90. Choose the correct answer below.
A. 12%
В. 88%
С. 53%
D. 100%
c. Estimate the percentage of students whose blood pressure is between 100 and 120. Choose the correct answer below.
A. 100%
В. 12%
С. 88%
D. 53%
d. Estimate the percentage of students whose blood pressure is greater than 120. Choose the correct answer below.
A. 12%
В. 53%
С. 88%
D. 100%
Click to select your answer.
StatCrunch
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![Consider the normal curve in the figure to the right,
which illustrates the relative frequencies in a
distribution of systolic blood pressures for a sample
of female students. The distribution has a standard
deviation of 13.
75
105
120
Blood pressure
90
135
.....
a. What is the mean of the distribution? Choose the correct answer below.
A. 105
В. 115
С. 95
D. 90
b. Estimate the percentage of students whose blood pressure is less than 90. Choose the correct answer below.
A. 12%
В. 88%
С. 53%
D. 100%
c. Estimate the percentage of students whose blood pressure is between 100 and 120. Choose the correct answer below.
A. 100%
В. 12%
С. 88%
D. 53%
d Estimate the percentage of students whose blood pressure is areater than 120. Choose the correct answer below
Click to select your answer.
StatCrunch
O Time Remaining: 02:48:31
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