Suppose a random variable, x, arises from a binomial experiment. If n = 15, and p = 0.18, find the following probabilities using the binomial formula. Round to four decimal places, if necessary. P(x = 10) =
P(x = 6) =
P(x = 4) =
P(x ≤ 14) =
P(x ≥ 3) =
P(x ≤ 5) =

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.

16.80 times .20= 3.36

step-by-step explanation: