For each probability and percentile problem, draw the picture. A random number g

Question

For each probability and percentile problem, draw the picture. A random number generator picks a number from 2 to 11 in a uniform manner.

Enter an exact number as an integer, fraction, or decimal.
? =

Round your answer to two decimal places.
? =

Enter an exact number as an integer, fraction, or decimal.

P(3.5 < x < 7.25) =  

Round your answer to two decimal places.
P(x > 3.33) =

Enter an exact number as an integer, fraction, or decimal.
P(x > 8 | x > 4) =

Find the 90th percentile. (Round your answer to one decimal place.)

Explanation / Answer

(here for first 2 question please revert if ? mark indicates as mean and std deviation)

1)

mean =(a+b)/2 =(2+11)/2=6.5

2)

std deviation=(b-a)/sqrt(12)=(11-2)/sqrt(12)=2.60

3)

P(3.5<X<7.25)=(7.25-3.5)/(11-2)=5/12

4)

P(X>3.33)=(11-3.33)/(11-2)=0.85

5)

P(X>8|X>4)=P(X>8)/P(X>4)=((11-8)/(11-2))/((11-4)/(11-2))=3/7

6)

90th percentile=a+0.9*(b-a)=2+0.9*(11-2)=10.1

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

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