Data collected over time on the utilization of a computer core (as a proportion of the total capacity) were found to possess a relative frequency distribution that could be approximated by a beta density function with α = 2 and β = 4. Find the probability that the proportion of the core being used at any particular time will be less than 0.10.

The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146

Step-by-step explanation:

1/3   0.33  = 33.33 %

       The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by  

PDF =

where x = 0.1

α = 2 and β = 4

PDF = = 1.458  

CDF = = 0.08146

The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

the answer is b.)

< 1=< 2