Standard Normal Distribution

Question

What are the characteristics of a standard normal distribution? 

Can two distributions with the same mean and different standard deviations be considered normal? 

How might you determine if a distribution is normal from its graphical representation?

Question

Consider a multinomial experiment involving n = 300 and k = 5 cells. The observed frequencies resulting from the experiment are shown in the accompanying table, and the null hypothesis to be tested is as follows:
 

Ho :
p1 = .1,
p2 = .2,
p3 = .3,
p4 = .2,
p5 = .2 ,
 

Test the hypothesis at the 1% significance level.
 

Cell 1 2 3 4 5
 

Frequency 24 64 84 72 56