Find the z value for x=20 for a normal distribution with =30 and =5. Enter the e

Question

Find the z value for x=20 for a normal distribution with =30 and =5.

Enter the exact answer.

------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Find the area between x=17 and x=20 under a normal distribution curve with =20 and =4.

Round your answer to four decimal places.

------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Find the area to the right of x=32 under a normal distribution curve with =28 and =9.

Round your answer to four decimal places.

------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Find the area to the left of x=21 under a normal distribution curve with =25 and =2.

Round your answer to four decimal places.

Explanation / Answer

(1)
z = (x - mu)/sigma = (20 - 30)/5 = -2

(2)
P(17<X<20) = P((17 - 20)/4 < z < (20 - 20)/4) = P(-0.75 < z < 0) = 0.2734

(3)
P(X>32) = P(z>(32 - 28)/9) = P(z>0.4444) = 0.3284

(4)
P(X<21) = P(z<(21 - 25)/2) = P(z>-2) = 0.0228

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

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