Question 1177042
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**