Question

If the average of a normal distribution of losses is $5,000 and the standard deviation is $200 – 68% of values lie within one standard deviation.

What is the upper bound and lower bound for this range?

Similarly, 95% of values lie within 2 standard deviations.

What is the upper bound and lower bound for this range?

Answer #1

solution

(A)P( - 1< X < + 1) = 68%

P(5000 - 200< X < 5000 + 200) = 68%

P(4800 < X < 4800) = 68%

Answer = lower bound =4800 and upper bound =4800

(B)

P( - 2< X < + 2) = 95%

P(5000 - 400 < X <5000 + 400) = 95%

P(4600 < X < 5400) = 95%

Answer =lower bound= 4600 and upper bound=540

The mean of a normal probability distribution is 390; the
standard deviation is 14.
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 380; the
standard deviation is 10.
a. 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?

The mean of a normal probability distribution is 380; the
standard deviation is 18. a. About 68% of the observations lie
between what two values? b. About 95% of the observations lie
between what two values? c. Practically all of the observations lie
between what two values?

The mean of a normal probability distribution is 340; the
standard deviation is 20.
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?

The mean of a normal probability distribution is 360; the
standard deviation is 14.
(a)
About 68 percent of the observations lie between what two
values?
Value 1
Value 2
(b)
About 95 percent of the observations lie between what two
values?
Value 1
Value 2
(c)
Practically all of the observations lie between what two
values?
Value 1
Value 2

The mean of a normal probability distribution is 320; the
standard deviation is 18.
a)About 68% of the observations lie between what two values?
Value #1_____. Value #2______.
b)About 95% of the observations lie between what two values?
Value#1_____. Value#2_____.
c)Practically all of the observations lie between what two
values? Value#1______. Value#2______.

1.
the area under the normal distribution curve that lies within one
standard deviation of the mean is approxiamtely ____%.
2. for a normal distribution curve with a mean of 10 and a
standard deviation of 5, what is the range of the variable thay
defines the area under the curve correaponding to a probability of
approximately 68%?
true or false:
3. a probability can be greater than one, but not equal to
zero.
4. quartiles are used in box...

a normal shaped distribution has a mean =200 and a standard
deviation =30. What are the z score values that form the boundaries
for the middle 95% of the distribution?

Table 1: Cumulative distribution function of the standard Normal
distribution
z: 0 1 2 3 Probability to the left of z: .5000 .84134 .97725 .99865
Probability to the right of z: .5000 .15866 .02275 .00135
Probability between z and z: .6827 .9544 .99730
Table 2: Inverse of the cumulative distribution function of the
standard Normal distribution
Probability to the left of z: . 5000 .92 .95 .975 .9990 z: 0.00
1.405 1.645 1.960 3.09
1 Normal Distributions
1. What proportion...

In a normal distribution, *about* 95% of the observations
occur...
Within 1.5 standard deviations above and below the mean.
Within 1 standard deviation above and below the mean.
Within 2.96 standard deviations above and below the mean.
Within 3 standard deviations above and below the mean.
Within 2 standard deviations above and below the mean.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 57 seconds ago

asked 57 seconds ago

asked 1 minute ago

asked 5 minutes ago

asked 5 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 14 minutes ago

asked 19 minutes ago

asked 21 minutes ago

asked 21 minutes ago

asked 21 minutes ago