Question

I am trying to fill out the table and find out what does F and little f mean what do they represent what are they saying when I use those also what does the x sub i mean?

File Edit View Insert Format n a A ? 100% - Normalt 2.1.3: 4: 1.5 1.6 | .7. 1.1. Symbols X(large X) =(p961) Tho namo of random variablo 21, 12, 13,...n The values of the random variable x(little x) = The trials that you want to get the successful eve F(capital F)= f(little f) = f(x;) - P(X = 1;) - - The probability mass function 2H_, S(x;) = 1 The probability mass function F(x) = The probability that the random Variable x takes on values less than or equal 9°1180992 [ATBW Pr(AC)

Answer 1

X is a random variable. Over the 'n' instances, values observed are x_1, x₂,.......x_n

Therefore, x_i = Observed value of the random variable X at i'th trial. (1<=i<=n)

f is the pmf (probability mass function ) of the random variable X, that is f(x) = P(X=x), the probability that the X takes value x

F is the CDF ( comulative distribution function ).

F(x) = Probability that the X takes values less than or equal to x that is P(X<=x)

F(x) = sum(f(x_i)

Sum is over 'i' such that x_i <= x