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

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

answer4 to the second power is 16

and 4 to the third power is 64,