For a t distribution with degrees of freedom, find the area, or probability, in each region

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For A T Distribution With 16 Degrees Of Freedom, Find The Area, Or Probability, In Each Region.A. To The Right Of 2.120. (Use 3 Decimals.)B. To The Left Of 1.337. (Use 2 Decimals.)C. To The Left Of -1.746. (Use 2 Decimals.)D. To The Right Of 2.583. (Use 2 Decimals.)E. Between -2.120 And 2.120. (Use 2 Decimals.)F. Between -1.746 And 1.746. (Use 2 Decimals.)

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.120. (Use 3 decimals.)
b. To the left of 1.337. (Use 2 decimals.)
c. To the left of -1.746. (Use 2 decimals.)
d. To the right of 2.583. (Use 2 decimals.)
e. Between -2.120 and 2.120. (Use 2 decimals.)
f. Between -1.746 and 1.746. (Use 2 decimals.)

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For A T Distribution With 16 Degrees Of Freedom, Find The Area, Or Probability, In Each Region.A. To The Right Of 2.120. (Use 3 Decimals.)B. To The Left Of 1.337. (Use 2 Decimals.)C. To The Left Of -1.746. (Use 2 Decimals.)D. To The Right Of 2.583. (Use 2 Decimals.)E. Between -2.120 And 2.120. (Use 2 Decimals.)F. Between -1.746 And 1.746. (Use 2 Decimals.)
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.120. (Use 3 decimals.)
b. To the left of 1.337. (Use 2 decimals.)
c. To the left of -1.746. (Use 2 decimals.)
d. To the right of 2.583. (Use 2 decimals.)
e. Between -2.120 and 2.120. (Use 2 decimals.)
f. Between -1.746 and 1.746. (Use 2 decimals.) @aibot

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To answer these questions, we will use a t-table or a t-distribution calculator.

a. To find the area to the right of 2.120, we need to calculate the cumulative probability from 2.120 to infinity. Using a t-table or calculator, we find that the area is approximately 0.032.

b. To find the area to the left of 1.337, we calculate the cumulative probability from negative infinity to 1.337. Using a t-table or calculator, we find that the area is approximately 0.096.

c. To find the area to the left of -1.746, we calculate the cumulative probability from negative infinity to -1.746. Using a t-table or calculator, we find that the area is approximately 0.050.

d. To find the area to the right of 2.583, we need to calculate the cumulative probability from 2.583 to infinity. Using a t-table or calculator, we find that the area is approximately 0.0080.

e. To find the area between -2.120 and 2.120, we calculate the cumulative probability from -2.120 to 2.120. Using a t-table or calculator, we find that the area is approximately 0.952.

f. To find the area between -1.746 and 1.746, we calculate the cumulative probability from -1.746 to 1.746. Using a t-table or calculator, we find that the area is approximately 0.904.

Please note that the decimal places provided are approximate and can vary depending on the level of precision required.