(a) Consider a t distribution with 5 degrees of freedom. Compute P(-1.88 < t < 1.88). Round your answer to at least three decimal places. P(-1.88

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Here's the transcription of the given image for an Educational website:

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### Problem Statement:

#### (a) Consider a \( t \) distribution with 5 degrees of freedom. Compute \( P(-1.88 < t < 1.88) \). Round your answer to at least three decimal places.

\[ P(-1.88 < t < 1.88) = \boxed{ } \]

#### (b) Consider a \( t \) distribution with 5 degrees of freedom. Find the value of \( c \) such that \( P(t \geq c) = 0.10 \). Round your answer to at least three decimal places.

\[ c = \boxed{ } \]

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Explanation for potential graphs or diagrams:
1. **\( t \)-Distribution Curve**: For part (a), one may include a bell-shaped t-distribution curve highlighting the area between \( -1.88 \) and \( 1.88 \).
2. **Significance Level**: For part (b), a similar t-distribution curve can show the tail area (right-tail) corresponding to a probability of 0.10, indicating the critical value \( c \).
Transcribed Image Text:Here's the transcription of the given image for an Educational website: --- ### Problem Statement: #### (a) Consider a \( t \) distribution with 5 degrees of freedom. Compute \( P(-1.88 < t < 1.88) \). Round your answer to at least three decimal places. \[ P(-1.88 < t < 1.88) = \boxed{ } \] #### (b) Consider a \( t \) distribution with 5 degrees of freedom. Find the value of \( c \) such that \( P(t \geq c) = 0.10 \). Round your answer to at least three decimal places. \[ c = \boxed{ } \] --- Explanation for potential graphs or diagrams: 1. **\( t \)-Distribution Curve**: For part (a), one may include a bell-shaped t-distribution curve highlighting the area between \( -1.88 \) and \( 1.88 \). 2. **Significance Level**: For part (b), a similar t-distribution curve can show the tail area (right-tail) corresponding to a probability of 0.10, indicating the critical value \( c \).
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