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).

Question

Mathematics

Yoselin Horne

27 June, 20:52

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).

+3

Answers (1)

Know the Answer?

Jabari · Answer 1

P [ K > 3.95] = 0.5633

Step-by-step 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] = 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