A Fair Coin Is Tossed 20 Times. Can You Find The Probability That The Number Of Heads Occurring Is Between 10 And 14 Inclusive By Using The Normal Approximation To The Binomial Distribution?

In the normal approximation to the binomial,
Probability of getting head p = 0.5
Probability of getting tail = 1-0.5 = 0.5

mean=np=20*.5=10

SD=sqrt [npq]=sqrt[10*0.5]=2.236

z value for 14 heads=[14 -10]/2.236=1.789
looking up a z table you will get
P(10<x< 14] = 0.4632 or 46.32 %

ans: 0.4632 or 46.32 %