REVIEW.EXERCISES.11.2023.pdt (page 3 of 10)-B dited 17) The men isu = 15.2 and t

Question

REVIEW.EXERCISES.11.2023.pdt (page 3 of 10)-B dited 17) The men isu = 15.2 and the standard deviation iso Find the probability that X is greater than 15.2 09. 17) A) 1.0000 B) 0.0003 C) 0.5000 D) 0.9998 Find the indicated probability. 18) The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 18) inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches? A) 97.72% B) 47.72% C) 2.29% D) 37.45% 19) The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a D) 40.82% 19) standard deviation of $150. What percentage of trainees earn less than $900 a month? A)90.82% B) 9.18% C) 35.31% Solve the problem 20) 20) Soores on a test have a mean of 62 and Q3 is 83. The scor es have adistribution that is approximately normal. Find the standard deviation. Round your answer to the nearest tenth. A) 14.1 B) 31.3 C) 15.8 D) 28

Explanation / Answer

17)

P(X>15.2)=P(Z>(15.2-15.2)/0.9)=P(Z>0)=0.50

option C

18)

P(X>0.32)=P(Z>(0.32-0.30)/0.01)=P(Z>2) =2.28%

option C

19)

P(X<900)=P(Z<(900-1100)/150)=P(Z<1.33)=9.18%

option b

20)

as Q3 is on 75th percentile for whcih z =0.67

hence std deviation =(X-mean)/z =(83-62)/0.67=31.3

option B is correct

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