Question in Other MathSolutionTotal outcomes n 210 1024 p

Question in Other Math

Total outcomes,

n = 2^10 = 1024

p = 0.5

q = 0.5

P(x=2) = 10C2 * 0.5^2 * 0.5^8 = 0.0439

Exactly 2 times head = 0.0439 * 1024 = 45

P(x=r) = nCr * p^r * q^(n-r)

P(x<=3) = P(x=0) + P(x=1) + P(x=2) + P(x=3)

P(x<=3) = 0.1718

at most 3 tails, numbers =0.1718 * 1024 = 176 times.

P(x=5) = 10C5 * 0.5^5 * 0.5^5

P(x=5) = 0.2461

Now numbers = 0.2461 * 1024 = 252

P(x>=6) = P(x=6) + P(x=7) + .....+P(x=10)

P(x>=6) = 0.3769

numbers= 0.3769*1024 = 386