teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in develops the probability distribution below for randomly selected student. what is the mean of the probability distribution

1.5

Step-by-step explanation:

The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.

Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:

M = Sum (xi) * P (xi)

We replace:

M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07

M = 1.5

Therefore, the mean of the given table is 1.5

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:

do you have a picture of the table