Calculate the Following Probabilities Using the Standard Normal Distribution

question 5

Essay

Calculate the following probabilities using the standard normal distribution. Sketch the probability distribution in each case, shading in the area of the calculated probability.
(a)Pr(Z < 0.0)
(b)Pr(Z ≤ 1.0)
(c)Pr(Z > 1.96)
(d)Pr(Z < -2.0)
(e)Pr(Z > 1.645)
(f)Pr(Z > -1.645)
(g)Pr(-1.96 < Z < 1.96)
(h.)Pr(Z < 2.576 or Z > 2.576)
(i.)Pr(Z > z)= 0.10; find z.
(j.)Pr(Z < -z or Z > z)= 0.05; find z.

---

Definitions:

Medulla

A part of the brainstem that controls vital body functions such as heart rate, breathing, and blood pressure.

Corpus Callosum

The large band of neural fibers connecting the two hemispheres of the brain, facilitating interhemispheric communication.

Pons

A part of the brainstem that plays a key role in controlling arousal, sleep, breathing, and relaying sensory information between the cerebrum and cerebellum.

Cerebellum

A part of the brain located at the back of the skull, important for coordinating movement and balance.