Question

Suppose that K is a random variable. Given that Upper P (negative 3.95 less than or equals Upper K less than or equals 3.95 )equals 0.725 comma and that Upper P (Upper K less than minus 3.95 )equals Upper P (Upper K greater than 3.95 )comma find Upper P (Upper K greater than 3.95 ).

Answer 1

P [ K > 3.95] = 0.5633

Explanation:

The interpretation of the given question goes thus;

Suppose that K is a random variable

P[-3.95 ≤ K ≤ 3.95] = 0.725

where; P [ + 3.95 < K ] = P [K < - 3.95]

P[K< 3.95] - P [K > - 3.95] =0.725

P [K < 3.95] - [ 1- P[K < 3.95]] = 0.725

P[k < 3.95] - 1 + P [ K < 3.95] = 0.725

3.95 P [ K < 3.95] -1 = 0.725

3.95 P [ K < 3.95] = 1.725

P [ K < 3.95] = 1.725/3.95

P [ K < 3.95] = 0.4367

P [ K > 3.95] = 1 - P[K< 3.95]

P [ K > 3.95] = 1 - 0.4367

P [ K > 3.95] = 0.5633