A). X is a continuous random variable with Normal Probability Distribution. Then check whether these statements are TRUE/FALSE about X
1. Mean of X is equal to its Median
2. Median of X is greater than its Mean
3. Mean of X is smaller than its Mode
4. X has a symmetric probability distribution function.
5. P(XMean)
B). X is a continuous random variable with a Normal Probability Distribution. It has mean =100, and variance =9. Then check whether the following statements are TRUE/FALSE about
Z=(X-100)/3.
1. Z is a standard nornmal variable.
2. Mean of Z is 0
3. Variance of Z is 1.
4. P(Z<0)=1
5. P(Z>0)=0.6