Calculate the specified probability Suppose that K is a random variable. Given that P (-2.2 ≤ K ≤ 2.2) = 0.725, and that P (K 2.2), find P (K > 2.2).

P (K > 2.2) = 0.1375

Step-by-step explanation:

We have that:

P (-2.2 ≤ K ≤ 2.2) = 0.725

P (K 2.2)

It means that the distribution is symmetric.

The sum of all the probabilities is decimal 1.

We have the following probabilities:

P (K < 2.2)

P (-2.2 ≤ K ≤ 2.2)

P (K > 2.2)

So

P (K 2.2) = 1

Since P (K 2.2)

P (K > 2.2) + P (-2.2 ≤ K ≤ 2.2) + P (K > 2.2) = 1

2P (K > 2.2) + 0.725 = 1.

2P (K > 2.2) = 1 - 0.725

2P (K > 2.2) = 0.275

P (K > 2.2) = 0.275/2

P (K > 2.2) = 0.1375