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![# Using the ALEKS Calculator to Solve t-Distribution Problems
The following problems involve calculations using the t-distribution. Use the ALEKS calculator to find the solutions and round your answers to at least three decimal places.
## Problem (a)
Consider a **t-distribution** with 24 degrees of freedom. Compute the probability:
\[ P(t \geq 1.60) \]
Provide your answer rounded to at least three decimal places.
## Problem (b)
Consider a **t-distribution** with 19 degrees of freedom. Find the value of \( c \) such that:
\[ P(-c < t < c) = 0.95 \]
Provide your answer rounded to at least three decimal places.
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Make sure to use the appropriate t-distribution tables or software tools to accurately determine these probabilities and critical values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a1b2b9d-136a-4887-96f9-8b3f93dfa3b9%2F45c4193c-73ba-41a1-b2b9-75bab0c85984%2Fdzy9xiu_processed.jpeg&w=3840&q=75)
(a) df=24, P(t≥1.60)=?
(b) df=19, P(-c<t<c)=0.95
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