A quality engineer inspects an SRS of 225 switches from a large shipment of which 15% fail to meet specifications. Let X be the count of switches in the sample that fail to meet expectations. Assume that X has a B(225, 0.15) distribution.

Apply the normal approximationto calculate the probability of no more than 25 switches that fail to meet expectations. (Caution: this value might not be the same as the exact solution.)