Please help me answer all parts of this in the next two hours!

1) Yes, table shows a probability distribution

2) Mean = 1.5

3) Standard Deviation = 1.1

Step-by-step explanation:

PART 1:

For the table to show a probability distribution, the sum of all probabilities should be equal to 1

Sum of probabilities = 0.358 + 0.443 + 0.174 + 0.025

Sum of probabilities = 1

Hence, the table shows the probability distribution.

PART 2:

The formula for mean is given by:

Mean = Sum of terms/ Total no. of terms

Mean = (0+1+2+3) / 4

Mean = 1.5

PART 3:

The formula for standard deviation is given by:

Solve using a calculator, we get

σ = 1.118

Round off to one decimal place

σ = 1.1

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

step-by-step explanation: