webworkI cardenstat223112017 /hw 19 and 20/5 HW 19 and 20: Problem 5 PreviousPro

Question

webworkI cardenstat223112017 /hw 19 and 20/5 HW 19 and 20: Problem 5 PreviousProblem List Next (1 point) The scores of sudents on an exam are normally distributed with a mean of 347 and a standard deviation of 90 a)What is the first quartietcore tor tis exam? (Recall hat the first quartie iste value n a data set with 25%ofthe observaons being lover) Answer b) what is the thed quartlie score for this exam Answer Note: You can earn partial crear on his problem Preview My Answers You have attempted this peoblem O times You have unlimited atempts remaining 4 5 6 8 9 0 a w E R ASDF GH J KL Alt PrtSc

Explanation / Answer

Solution :- Given that mean 347 and standard deviation = 90

Formula : z = (x - µ)/

a) P(X < x) = 0.25
P(Z < (x - µ)/ ) = 0.25
(x - 347)/90 = -0.6745
x = 347 - (0.6745*90)
x = 286.295

b) P(X < x) = 0.75
P(Z < (x - µ)/ ) = 0.75
(x - 347)/90 = 0.6745
x = 347 + (0.6745*90)
x = 407.705

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