Question Discuss the validity of each statement If the state

Question:

Discuss the validity of each statement. If the statement is always true, explain why. If not true, give a counter example.

If two normal distributions have the same mean, then they have the same standard deviation.

Solution

1.

no

N(0,1) and N(0,2) are two normal distributions with same mean but differrnt standerd deviation

they have different shapes also

2. let X denote republican

Y denote democratic

then

P(Y>X)>0.07