Question

Compute the following probabilities. threetwo Group 1: (Round your answers to three decimal places.) If X is distributed x_{30} ^ 2 Pr(X > 50.89) = . If X is distributed t 30 . Pr(X > 2.04) = . Group 2: (Round your answers to two decimal places.) If X is distributed x_{20} ^ 2, Pr(X > 37.57) = . If X is distributed F 20, [infinity] ,Pr(X>1.88)= Box. Group 3: (Round your answers to three decimal places.) If X is distributed F 7. infty ,Pr(X<=2.01)= Box If X is distributed t_{7}, Pr(X <= 2.36) = Group 4: (Round your answers to two decimal places.) If X is distributed F 5, 7 ,Pr(X>7.46)= Box If X is distributed F 7.5 ,Pr(X>3.37)= Box Group 5: (Round your answers to three decimal places.) If X is distributed N(0, 1) Pr(X > 1.86) = If X is distributed t_{8}, Pr(X > 1.86) =

Answer 1

The student requires computation of probabilities using different statistical distributions. Statistical tables or software are typically used for finding these probabilities for chi-square, t-distribution, F-distribution, and standard normal distributions.

Step-by-step explanation:

The student is asking for help with computing various probabilities associated with different probability distributions, namely the chi-square (χ²), t-distribution, F-distribution, and standard normal distribution (N(0, 1)).

These are concepts from statistics, a branch of mathematics used in many fields for analyzing data and making inferences about populations based on samples. To calculate these probabilities, one would typically use statistical tables or software that can compute these values based on the provided distribution parameters and critical values.

For example: For a chi-square distributed variable X with 30 degrees of freedom, Pr(X > 50.89) can be found by looking up the value in a chi-square distribution table or using a statistical software's function, similar to how one would calculate Pr(X > 37.57) for a chi-square distributed variable with 20 degrees of freedom.