Solution :
Using binomial distribution,
= n * p = 127 * 0.22 = 27.94
= n * p * q = 127 * 0.22 * 0.78 = 4.66832
Using continuity correction ,
= P[(32.5 - 27.94 )/ 4.66832) < (x - ) / < (33.5 - 27.94) / 4.66832]
= P(0.98 < z < 1.19)
= P(z < 1.19) - P(z < 0.98)
= 0.0465
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