: ST 210-104 Homework: Ch 5 Homework Score: 0 of 1 pt 5.3.45-T MN Score: 5833%,

Question

: ST 210-104 Homework: Ch 5 Homework Score: 0 of 1 pt 5.3.45-T MN Score: 5833%, 8 75 of 15g Two causes of poor power quality are "sags" and "swells. -A sag is an unusual dip and a swell is an unusual increase in the voltage level of a transformer For trasformers built for heavy industry, the mean number of swells per d devlation of 22 8 swells per week The mean mumber of sags per week was 333 with a standard deviation of 27 sags per week Assume that both the number of sags and the number of swells are week was 196 with a normally distributed Suppose one of the transformers is randomly selected and found to have 410 sags and 110 swels in a week a. What is the probabilty that the number of sags per week is less than 410 b. What is the probability that the number of swells per week is greater than 110 a. The Round to three decimal places as needed)

Explanation / Answer

Ans:

a)

z=(410-333)/27=2.85

P(x<410)=P(z<2.85)=0.998

b)

z=(110-196)/22.8=-3.77

P(y>110)=P(z>-3.77)=1.000

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