Question

PLEASE help me with this algebra multiple choice question I have been stuck on and if possible, give an explanation:

Answer 1

Answer:

D

Step-by-step explanation:

First find the probability using the normal distirbution formula X - mean / standard deviation for both X = 350 and X =450 to get the values -1 and 1 so thi(-1) < P(Z) < thi(1) if you are familiar with normal distirbution table values you will calculate that the overall probability is 0.6827

knowing this we can roughly expect how much emergencies are in the response times by 0.6827 x 144 = 98

Answer 2

Answer:

D) 98

Step-by-step explanation:

Here we will use Empirical formula for solving this question.

Calculating: $\frac{350-400}{50}=-1 and \frac{450-400}{50} =1$

Since 68% of the data lies in the one standard deviation of the mean.

Also, there are 144 emergencies in the town. So,

0.68 × 144 = 97.92 ≈ 80

Thus, Option D is correct.