Question

A random number generator picks a number from 1 to 21 in a uniform manner. Round all answers to two decimal places.

A. The mean of this distribution is 11

B. The standard deviation is 5.77

C. The probability that the number will be exactly 15 is P(x = 15) = 0

D. The probability that the number will be between 4 and 8 is P(4 < x < 8) = 0.20

E. The probability that the number will be larger than 15 is P(x > 15) = 0.30

F. P(x > 5 | x < 11) =

G. Find the 60^th percentile.

H. Find the minimum for the upper quartile.

I don't have the answers to F.G.H thanks a lot for your help by the way

Answer 1

F

P(X>5 |X<11) =P(5<X<11)/P(X<11) =(11-5)/(11-1)=0.6

G)

pth percentile =a+p*(b-a)/100

60th percentile =1+60*(21-1)/100=13

H) minimum for the upper quartile(75th percentile) =1+75*(21-1) =16