Question

Let x be random variables with values a, b,c,d and e (in increasing order ) and P(x) be the individual probabilities of x with values f, g, h, i, and j. All are non-negative constants. P(x) 1/ Find the requirements for this table so that it is a probability table (PD) 21 Find the probability: P (at least c) 3/ Find the probability: P ( no more than d)

Answer 1

(1)

The requirements for this table so that it is a probability table:

(i) All probabilities: f,g,h,i and j must be between 0 and 1 (both inclusive)

(ii) The sum of the probabilities = 1.

i.e.,'

f + g + h+ i + j = 1

(2)
P(X$\geq$c)= h + i + j

So,

Answer is:

h + i + j

(3)

P(X$\leq$d) = f + g + h+ i

So,

Answer is:

f + g + h+ i