Find the probability

l Electrical Engineering (Vol. 95, 2013) studied the power quality of a transformer. Two causes of poor power quality are "sags\" and "swells." (A sag is an unusual dip and a swell is an : unusual nuease In the voltage level of a transformer.) For Turkish transformers built for heavy industry, the mean number of sags per week was 353 and the mean number of swells per week was 134. Assume the standard deviation of the sag distribution is 30 sags per week and the standard deviation of the swell distribution is 25 swells per week Also, assume that the number of sags and number of swelis are both normally distributed. Suppose one of the transformers is randomly selected and found to have 410 sags and 130 swells in a week. Complete parts a and b below. a. What is the probability that the number at sags per week is less than 410? a The probability is H. (Round to four decimal places as needed)