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PLEASE ANSWER ASAP
Last year the number of sandals produced per day at a certain factory were normally distributed with a mean of 20,200 Sandals and a standard deviation of 40 sandals.
a) On what percent of the days last year did the factory produce 20,280 or fewer.
b) On what percent of the days last year did the factory produce 20,320 or more.
c) On what percent of the days last year did the factory produce 20,160 or fewer.
***Please show all of your working including the graph.*** thank you!

Respuesta :

roundadworthy

Answer:

A. 97.72%

B. 0.13%

C. 15.87%

Step-by-step explanation:

Values in the graph:

μ = 20,200  σ = 40

μ + σ = 20,240

μ - σ = 20,160

μ + 2σ = 20,280

μ - 2σ = 20,120

μ + 3σ = 20,320

μ - 3σ = 20,080

Now, let's find the z-score for each question:

A. On what percent of the days last year did the factory produce 20,280 or fewer?

z-score = + 2.0 ⇒ p = 0.9772 = 97.72%

B. On what percent of the days last year did the factory produce 20,320 or more?

z-score = + 3.0 ⇒ p = 0.9987; 1 - 0.9987 = 0.0013 = 0.13%

C. On what percent of the days last year did the factory produce 20,160 or fewer?

z-score = - 1.0 ⇒ p = 0.1587 = 15.87%

Ver imagen roundadworthy
Kurooo

Answer:

A. 97.72%

B. 0.13%

C. 15.87%

Step-by-step explanation:

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