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7 of 9 Given a normal distribution with -100 and = 10, complete parts (a) throug

ID: 2935309 • Letter: 7

Question

7 of 9 Given a normal distribution with -100 and = 10, complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. EB Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that X>802 The probablity that X> 80 is (Round to four decimal places as needed.) b. What is the probability that X 125 is Round to four decimal places as needed.) d. 80% of the values are between what two X-values (symmetrica!y distributed around the mean)? 80% of the values are greater than and less than (Round to two decimal places as needed.) Enter your answer in each of the answer boxes. Save for Later data-10-29-2017-11x1sx MacBook Air 20 OO FA F5 FI F2

Explanation / Answer

Mean = 100

SD = 10

a) z = (80 - 100)/10 = - 2

P = 0.9773

b) z = (95 - 100)/10

z = - 0.5

P = 0.3085

c) z1 = (70 - 100)/10

z1 = - 3

z2 = (125 -100)/10

z2 = 2.5

P = 0.0014 + 0.0062 = 0.0076

d) z score for 80% = 1.28

(x - 100)/10 = -1.28

x = 87.2

Also

(x - 100)/10 = 1.28

x = 112.8

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