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Question 2 with details please! Thanks Question 2 with details please! Thanks st

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Question

Question 2 with details please! Thanks Question 2 with details please! Thanks student number on the top left corner of the first page lease show all calculations and steps legibly in arriving at > Identical work will be considered as academic dishonesty and NO MARKS will be given to ALL THOSE INVOLVED and to ALL ASSIGNMENTS Textbook, Problem 6.7, p.235 Suppose X'is a normal random variable where P(X 2.5)- 0.8531 and P(X>4.7)-0.2912. 1. 2. le where Find the mean and the standard deviation of X 3. Textbook, Problem 7.5, p.260 (e), use of the empirical rule Textbook, Problem 7.17, p.263. In answering part In answering part (d), state in words about how the answers would change with reasons, rn calculations are necessary. 4. is cancelled 5. Textbook, Problem 7.27, p.265

Explanation / Answer

for (x >2.5) = 0.8531 z value = 0.1968
for (x > 4.7) = 0.2912 z value = 0.3854

z = (x - mean)/s

0.1968 = (2.5 - mean)/s
0.1968 * s + mean = 2.5 .......1)
0.3854 = (4.7 - mean)/s
0.3854 *s + mean = 4.7 ......2)
solve two equations simultaneously,

std.deviation = 0.0857

Put in 1) we get, mean = 2.4831

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