The probability density function of the length of a cutting blade is f ( x ) = 1.25 for 74.6 < x < 75.4 millimeters. determine the following: a) upper p ( upper x < 75.2) = (round the answer to 3 decimal places.) b) upper p ( upper x < 74.8 ⁢ or upper x > 75.2 ) = c) if the specifications for this process are from 74.7 to 75.3 millimeters, what proportion of cutting blades meets specifications?

coins of silver or gold

step-by-step explanation:

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.