(a) Consider a t distribution with 3 degrees of freedom. Compute P (t≥ 1.96). Round your answer to at least three decimal places. P(t≥ 1.96) = (b) Consider a t distribution with 22 degrees of freedom. Find the value of c such that P(-c
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![### Problem Set: t Distribution
#### Problem (a)
**Question:**
Consider a t distribution with 3 degrees of freedom. Compute \( P(t \ge 1.96) \). Round your answer to at least three decimal places.
\[ P(t \ge 1.96) = \boxed{} \]
#### Problem (b)
**Question:**
Consider a t distribution with 22 degrees of freedom. Find the value of \( c \) such that \( P(-c \le t \le c) = 0.99 \). Round your answer to at least three decimal places.
\[ c = \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50a93c10-85d4-41d2-a577-62aadf58513c%2F7aa4d27f-7b52-4b0f-8f91-aa9dbff6a7be%2Fqnem1_processed.png&w=3840&q=75)
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