175811157 https//www.mathal.com/Student/PayerTest aspxitestld k and Tests waler.

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175811157 https//www.mathal.com/Student/PayerTest aspxitestld k and Tests waler. Take a Test- walter ayala >x Fhe Edit View Favorites Tools Help Math 25 (Spring 2018) Quiz: Quiz 7 (5.1-5.3) This Question: 1 pt 2013(O complete) Use the nomal distrtution of fsh lengths for which the mean is 9 nches and the standard deviaton is 5 inches Assume the variable x is normally distributed (a) What percent of the fish are longer than 13 inches? b) If 200 fish are randomly selected, about how many would you expect to be shorter than 6 inches? (a) Approximately % of fsh are longer than 13 Inches. Round to two decimal places as needed ) (b) You would expect approximately fish to be shorter than 6 inches. Round to the nearest fish ) Enter your answer in each of the answer boxes

Explanation / Answer

Result:

a).

z value for 13, z =(13-9)/5 =0.8

P( x >13) = P( z > 0.8)= 0.2119

21.19 % longer than 13 inches

b).

z value for 6, z =(6-9)/5 =-0.6

P( x <6) = P( z < -0.6)= 0.2743

200*0.2743 =54.86

Expect approximately 55 fishes to be shorter than 6 inches

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