Calculate the following using the provided normal probability table. Illustrate your answers with graphs. a. 𝑃ሺെ

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Calculate the following using the provided normal probability
table. Illustrate your answers with graphs.
a. 𝑃ሺെ0.5 ൏𝑍൏ 1.2ሻ ൌ ?
b. 𝑃ሺ𝑋 ൏ 8ሻ ൌ? where X is distributed normal with µ = 10 and σ =
4.
c. The 35th percentile of X, where X is distributed normal with
µ = 10 and σ = 12.
d. 𝑃ሺ21 ൑ 𝑋ത ൑ 22ሻ ൌ ?, where 𝑋ത is calculated from random
sample of n = 100 selected from a normally distributed population,
X~ N(20, 64).