In: Statistics and Probability
p=0.63 and n=80 p(x>48)
Solution :
Given that,
p = 0.63
q = 1 - p = 1 - 0.63 = 0.37
n = 80
Using binomial distribution,
= n * p = 80 * 0.63 = 50.4
= n * p * q = 80 * 0.63 * 0.37 = 4.32
Using continuity correction ,
P(x > 48) = 1 - P(x < 48 )
= 1 - P((x - ) / < (48 - 50.4) / 4.32)
= 1 - P(z < -0.56 )
= 1 - 0.2877
= 0.7123