Question

1. For which type of continuous distribution are the mean and the median always the same?

uniform and normal distributions only

all of the above

uniform distribution

exponential distribution

normal distribution

2. The skewness of a normal distribution is:

negative

zero

positive

something that varies

3. The standard normal probability distribution has a mean of ______ and a standard deviation of ______.

0, 1

1, 0

1, 1

0, 0

4. Any normal probability distribution can be converted to a standard normal probability distribution through the use of z-scores.

True

False

5. An exponential probability function with an expected population value of two will have a density function of:

f(x)=12ex

f(x)=12e−x2

f(x)=x2e

f(x)=2xe−22!

6. It is possible to talk about the probability of a continuous random variable assuming a particular value.

Group of answer choices

True

False

7. A continuous random variable can assume any value in an interval on the real line or in a collection of intervals.

True

False

8. The probability for a given range of a continuous random variable can be calculated by measuring the are underneath the density function in that range.

True

False

Answer 1

For normal distribution

mean==median=mode

skewness =0

Total area under curve is equal to 1

Solution-1:

normal distribution

2. The skewness of a normal distribution is:

zero

3. The standard normal probability distribution has a mean of 0 and a standard deviation of 1

4. Any normal probability distribution can be converted to a standard normal probability distribution through the use of z-scores.

If we need to find prob of P(X>x)then

x can be converted to z scoresby z=x-mean/standard deviation

P(Z>x)

(4)

TRUE

(1);normal distribution

(2)zero

(3)0, 1

(4)True