the average aamount of precipitation in Dallas during themonth of April is 3.5 i
ID: 2917678 • Letter: T
Question
the average aamount of precipitation in Dallas during themonth of April is 3.5 inches. Assume the standard deviationis 0.8 inches and that the data is normally distributed. a. what is the the probability that the rainfall exceeds5 inches? b. what is the probability that the rainfall is lessthan 3 inches? c. a month is classified as extremely wet if the amount is inthe upper 10% for that month. How much rain must fall beforethe month is classified as extremely wet? the average aamount of precipitation in Dallas during themonth of April is 3.5 inches. Assume the standard deviationis 0.8 inches and that the data is normally distributed. a. what is the the probability that the rainfall exceeds5 inches? b. what is the probability that the rainfall is lessthan 3 inches? c. a month is classified as extremely wet if the amount is inthe upper 10% for that month. How much rain must fall beforethe month is classified as extremely wet?Explanation / Answer
mean=x=3.5 sd= 0.8 you need to caluclate the z scores, the number of sd above or belowthe mean...a. what is the the probability that the rainfall exceeds 5inches? calculate z score (5-3.5)/0.8 =+1.875 z score, about 96.97% are below, so 3.02% areabove 5 inches
b. what is the probability that the rainfall is less than 3inches? calculate z score (3-3.5)/0.8 =-0.625 z score 26.61% are below 3 inches
c.z score for upper 10% z=1.285 on the table 1.285 x 0.8 = 1.02 inches above average is wet
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