SOLUTION: 1.)(a)Consider a t distribution with 29 degrees of freedom. Compute P<−1.59 Round your answer to at least three decimal places. P<−1.59 (b)Consider a t distribution with

Algebra ->  Probability-and-statistics -> SOLUTION: 1.)(a)Consider a t distribution with 29 degrees of freedom. Compute P<−1.59 Round your answer to at least three decimal places. P<−1.59 (b)Consider a t distribution with       Log On


   



Question 1177042: 1.)(a)Consider a t distribution with 29 degrees of freedom. Compute
P<−1.59
Round your answer to at least three decimal places.
P<−1.59
(b)Consider a t distribution with 9 degrees of freedom. Find the value of c
such that =P≤tc0.10
Round your answer to at least three decimal places.
c=

Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
Absolutely! Let's solve both parts of this t-distribution problem.
**(a) P(t < -1.59) with 29 degrees of freedom**
* We need to find the probability that a t-distributed random variable with 29 degrees of freedom is less than -1.59.
* Using the provided code and result, the answer is: 0.061
**(b) Find c such that P(t ≤ c) = 0.10 with 9 degrees of freedom**
* We need to find the value of 'c' such that the cumulative probability up to 'c' in a t-distribution with 9 degrees of freedom is 0.10.
* Using the provided code and result, the answer is: -1.383
**Answers:**
* **(a) P(t < -1.59) ≈ 0.061**
* **(b) c ≈ -1.383**