Given the sets p = {-4, -1, 0, 3, 5, 7} and q = {0, 1, 2, 3, 4, 5}. the set p∩q is given by: {0, 3, 5} {-4, -1, 0, 1, 3, 4, 5, 7} {-4, -1, 0, 0, 1, 2, 3, 3, 4, 5, 5, 7} ø

a) Z for northern region = 1 , Z for southern region = -1.2

b) Southern region

Step-by-step explanation:

a) Z = (x – mean)/standard deviation

Le x be weight for birds

For the northern region  

Z = (13 – 10)/3

Z = 1

For the southern region

Z = (13 – 16)/2.5

Z = -1.2

b) to find in what region is more likely to find a bird with 13 ounces, we calculate the probability for each z value

For the northern region  

P (x>13) = P(z > 1)

Then we use the z table to find the area under the curve.

P (x>13) = 0.1587

For the southern region

P (x>13) = P(z > 1.2)

Then we use the z table to find the area under the curve.

P (x>13) = 0.8849

Is it more likely that a bird with a weight greater than 13 ounces lives in the southern region