Question

which of the following is true for normal probability distribution?

1. The distribution is right skewed when the mean is greater than 100
2. The probability of X being between two particular values is equivalent to the under the density curve between the two particulars value.
3. The density curve can appear above and below the x axis
4. The probability that X=x can be any value between 0 and 1

Answer 1

Solution:

We have to identify the TRUE sentence from given 4 sentences.

Answer is

The probability of X being between two particular values is equivalent to the under the density curve between the two particulars value.

Option b. is correct.

Explanation:

Statement a is incoorect . Because the normal distribution is always symmetric . Not skewed.

Statement c is incorrect. Because the probability never negative. It lies between 0 to 1. So , density curve cannot appear below the x axis

Statement d is incorrect. The normal distribution is a continuouis type distribution. In this type , the probability at a particular point is considered as zero. We find cumulative probability.

So answer is

The probability of X being between two particular values is equivalent to the under the density curve between the two particulars value.

Option b. is correct.