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

Since P(K < 2.2) = 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

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12