Let X be normally distributed with mean = 18 and standard deviation = 14. Use Ta

Question

Let X be normally distributed with mean = 18 and standard deviation = 14. Use Table 1. a. Find P(X 4). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(X 4) b. Find P(X > 11). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(X > 11) c. Find P(4 X 18). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(4 X 18) d. Find P(18 X 25). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(18 X 25)

Explanation / Answer

for z score =(X-mean)/std deviaiton

a) P(X<4) =P(Z<-1) =0.1587

b) P(X>11)= P(Z>-0.5)=0.6914

c) P(4<X<18)=P(-1<Z<0)=0.5-0.1587 =0.3413

d)P(18<X<25)=(0<Z<0.5)=0.6915-0.5 =0.1915

Related Questions

Navigate

• Browse (All)
• Browse L
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.