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For a Variable Z That Has a Standard Normal Distribution z<2.45z < - 2.45

question 30

Essay

For a variable z that has a standard normal distribution, a) What is the probability that z<2.45z < - 2.45 ?
b) What is the probability that z<+1.67z < + 1.67 ?
c) What is the probability that z\mathrm { z } is between 1.43- 1.43 and +1.43+ 1.43
d) What value of zz separates the smaller 10%10 \% of the standard normal distribution from the larger 90%90 \% ?
e) What values of z- z and +z+ z separate the middle 95%95 \% of the standard normal distribution from the extreme 5%5 \% ?

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Definitions:

Growth Plate

The area of growing tissue near the ends of the long bones in children and adolescents that determines the future length and shape of the mature bone.

Primary Ossification

The initial phase of bone formation in embryos and young organisms where cartilage is replaced by bone.

Secondary Ossification

The phase of bone development that occurs after birth, where bone tissue is formed in the epiphyses of long bones, leading to growth in length.

Medullary Cavity

A central cavity of bone shafts where red and/or yellow marrow is stored.

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