(a) weekly demand at a grocery store for a breakfast cereal is normally distributed with a mean of 800 boxes and a standard deviation of 75 boxes. (i) what is the probability that the weekly demand is less than 650 boxes or greater than 950 boxes?

 0.0455

Step-by-step explanation:

Given : Weekly demand at a grocery store for a breakfast cereal is normally distributed .

Population mean :

Standard deviation :

To find : Probability that the weekly demand is less than 650 boxes or greater than 950 boxes.

We first find z-score corresponds to 650 and 950.

Since

Then , for x= 650

x=950

Then , the probability that the weekly demand is less than 650 boxes or greater than 950 boxes is given :-

Hence, the probability that the weekly demand is less than 650 boxes or greater than 950 boxes = 0.0455

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step-by-step explanation:

- 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