Question

PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS

Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0 then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0 then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075

Answer 1

a. False. The height of a uniform continuous probability density function is 1 / (b - a). b. False. The probability P(14.0

Step-by-step explanation:

a. False. The height of a uniform continuous probability density function is 1 / (b - a), where a and b are the lower and upper limits of the domain. So, for a domain of 8.0, the height would be 1 / 8 = 0.125, not 0.1684.

b. False. The probability P(14.0< X<26.0) for a uniform continuous probability density function is equal to the length of the interval (26.0 - 14.0) divided by the width of the domain (8.0), which is 12.0 / 8.0 = 1.5, not 0.6092.

c. False. Not all normal curves are symmetric and bell-shaped. Normal curves can have different shapes and could be skewed.

d. True. According to the Empirical Rule, approximately 99.7% of the area under a normal curve falls within three standard deviations of the mean, which includes two standard deviations to the left and right of the mean.

e. True. All uniform density functions are symmetric, but they are not bell-shaped. Instead, they have a constant height within the domain.

f. True. The Standard Normal curve, also known as the Z-distribution, has a mean of 0 and a standard deviation of 1.

Answer 2

1. true 2. false 3. false 4. true 5. false 6. false or true

Step-by-step explanation:

you're welcome