Question

Dute. Harper's Index. FULL. 20. Tossing Coins Find the mean, variance, and standard deviation for the number of heads when 10 coins are tossed.

Answer 1

Mean., variance and standard deviation calculations.

Given that → Nember of coins tossed (n) = 10 Hear of head on tail. it will have Equal PC Head) = p = Petail) = q = chances 0.5 0.5 . . we know that Mean (all) = = Mean (el) = np 10* (0.5) 5 un > . Variance (22) = npq 103) = 10 +0.5 * 0,5 (22) = 2.5. munu Standard deviation cal = Svariance (0) = 12.5 Las= 1.5811 Standard deviation cas = (15811 ہ

Given → that Sample Size (n) = 1000 A survey found that 21% of Americans watch fireworks on television on July 4. i P = 21% = 0.21 q = 1 p = (-0.21 = 0.79 we know that i l Mean (all) = np = 1000 * 0.21 Ill) = 210. w i Variance (az) = npq = 1000 + a21 * 0.79 (02) = 165.9 ~ 166 Standard deviation (a)= variance (az) 711) a = 5166 12.894 a = unun un