Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition, the number of defects per unit is distributed according to a Poisson distribution. Determine the standard deviation of the number of defects for 32 units.

The answer is 4

Step-by-step explanation:

For a poisson distribution, the variance is equal to the mean. Since the average number of defects per product is 2, it means that the mean per product is 2. Hence for 32 units it is 16 divided by 2 which is 16.

Also, since the square root of variance is equal standard deviation, the square root of 16 is 4.

Russell is correct.

Step-by-step explanation:

It is given that Quadrilateral PQRS is located at P (0, 1), Q (3, 2), R (4, 0), and S (1, −1).

Distance formula:

Slope formula:

Using distance and slope formula find the length and slope of each side.

Segment PQ : P(0, 1) and Q(3, 2).

Segment SR : S(1, −1) and R(4, 0).

Segment PS : P(0, 1) and S (1, −1)

Segment QR : Q(3, 2) and R(4, 0)

Slope of parallel lines are same.

Segments PQ and SR are both congruent and parallel, and segments PS and QR are both congruent and parallel.

PQRS is a parallelogram because opposite sides are both congruent and parallel.

Product of slopes of perpendicular lines is -1.

Product of slope of two adjacent sides is

Therefore adjacent sides are not perpendicular. It means the PQRS is not a rectangle.

Therefore, Russell is correct.