in the voltage level of a For transformers buit for heavy Two causes of poor pow
ID: 2908807 • Letter: I
Question
in the voltage level of a For transformers buit for heavy Two causes of poor power quality are "sags" and "swells A sag is an unusual dip and a swell is an unusual industry, the mean number of swells per week was 200 with a standard deviation of 24 8 swells per weok The mean number of sags per week was 344 with a standard deviation of 29 sags per week. Assume that both the number of sags and the number of swells are normally distributed Suppose one of the transformers is randomly selected and found to have 350 sags and 140 swells in a week a. What is the probability that the number of sags per wook is less than 3502 b. What is the probability that the number of swells per week is greater than 1407 (Round to three decimal places as needed) b. The probablity that the number of swells per week is greater than 140 years isD (Round to three decimal places as needed)Explanation / Answer
Solution:- Given that
Swells : ? = 200, ? = 24.8
sags : ? = 344, ? = 29
a. P(X < 350) = P((x-?)/? < (350-344)/29)
= P(Z < 0.2069)
= 0.583
b. P(X > 140) = P((x-?)/? > (140-200)/24.8)
= P(Z > -2.4194)
= 0.992
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