The mean of a normal probability distribution is 460; the
standard deviation is 6.
a. About 68% of the observations lie between what
two values?
Lower Value
Upper Value
b. About 95% of the observations lie between
what two values?
Lower Value
Upper Value
c. Nearly all of the observations lie between
what two values?
Lower Value
Upper Value
The mean of a normal probability distribution is 410; the
standard deviation is 105. a. μ ± 1σ of the observations lie
between what two values? Lower Value Upper Value b. μ ± 2σ of the
observations lie between what two values? Lower Value Upper Value
c. μ ± 3σ of the observations lie between what two values? Lower
Value Upper Value
1. Following a normal probability distribution with a mean of
200 and a standard deviation of 10, 95 percent of the
population will be between:
200 and 220
180 and 220
180 and 200
less than 180
3. A family of four spends an average of $1000 per month with a
standard deviation of $50. This spending follows a
normal continuous distribution.
What is the probability that a family will spend more than $1050
in a month? (answer to 3 decimal places)
5....
The mean of a normal probability distribution is 380; the
standard deviation is 10.
About 68% of the observations lie between what two values?
About 95% of the observations lie between what two values?
Practically all of the observations lie between what two
values?
4. Given an approximately normal distribution with a mean of 175
and a standard deviation of 37, a) Draw a normal curve and label 1,
2, and 3 standard deviations on both sides on the mean. b) What
percent of values are within the interval (138, 212)? c) What
percent of values are within the interval (101, 249)? d) What
percent of values are within the interval (64, 286)? e) What
percent of values outside the interval (138, 212)? f)...
A normal distribution has a mean of 15 and a standard deviation
of 4 . Use the? 68-95-99.7 rule to find the percentage of values in
the distribution between 15 and 23 .
Given a normal distribution with A MEAN of 50 and standard
deviation of 4, what is the probability that:
a. X > 45?
b. X < 43?
c. Six percent of the values are less than what X value?
d. Between what two X values (symmetrically distributed around
the mean) are sixty-five percent of the values?
Find the probability that the Normal random variable with mean
20 and standard deviation 3.2 will generate an outlier (outside the
inner fences) observation. Remember that the lower (upper) inner
fence is 1.5*IQR below (above) the first (third) quartile.
a.
0.0035
b.
0.0051
c.
0.0058
d.
0.0062
e.
0.0070