A steel manufacturer is testing a new additive for manufacturing an alloy of steel. The joint probability mass function of tensile strength (in thousands of pounds/in2) and additive concentration is Tensile Strength Concentration of Additive 100 150 200 0.02 0.05 0.06 0.11 0.04 0.01 0.08 0.10 0.06 0.04 0.08 0.17 0.08 0.04 0.14 0.12 a. What are the marginal probability mass functions for X (additive concentration) and Y (tensile strength)

answer: 1, 3 and 5 are correct

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8