Statistics CS Suppose student Ana is running for a charity and asks her friend to chip in the donation. Suppose each friend donates independently, and the donated value $ T_i $ is a random variable with the following probability density:\[p(T_i = t_i) = \begin{cases} c & t_i \in [5, 10] \text{ dollars} \\ c & t_i \in [35, 40] \text{ dollars} \\ 0 & \text{otherwise} \end{cases}\]Let's assume $ T_i $'s are mutually independent and each donation is a continuous random variable given they're using electronic transfer. Ana requested from 150 friends for the donation. Let $ X $ be the total amount in dollars Ana collected from these 150 friends. You need to simplify for this problem. For the remaining subquestions, assume $ T_i $ follows a normal distribution instead with a **mean of 10** and **variance of 28**.**Question:**What is the probability that $ X $ is more than 1519? Assume $ X $ is a normal distributed random variable. Use the given CDF table to solve.\[P(X > 1519) = \text{number (2 significant figures)}\]**Instructions:**Which row and column (assuming 1-indexed, the title row, title column, and empty rows do not count) and round down/truncate in the given CDF table can be used to calculate the probability above? For example, for rounding if you get a z-score of 0.519, you should round up to .52, and if you get .514, you should round down to 0.51.- **Row**: integer - **Column**: integer**Explanation:**This question involves statistical concepts related to the normal distribution, where you need to use a CDF (Cumulative Distribution Function) table to find probabilities. You need to determine the z-score for 1519 using the mean and variance given, then reference the correct row and column in the CDF table for your calculations. This task requires rounding the z-score correctly based on given rules to ensure accuracy.

Suppose student Ana is running for a charity and asks her friend to chip in the donation. Suppose each friend donates independently, and the donated value T is a random variable with the following probability density: c ti € [5, 10] dollars с t € [35, 40] dollars. otherwise 0 Let's assume Te's are mutually independent and each donation is a continuous random variable given they're using electronic transfer. Ana requested from 150 friends for the Lot bo looted from thooo 150 friendo You p(Ti = ts) : = in de

Suppose student Ana is running for a charity and asks her friend to chip in the donation. Suppose each friend donates independently, and the donated value T is a random variable with the following probability density: c ti € [5, 10] dollars с t € [35, 40] dollars. otherwise 0 Let's assume Te's are mutually independent and each donation is a continuous random variable given they're using electronic transfer. Ana requested from 150 friends for the Lot bo looted from thooo 150 friendo You p(Ti = ts) : = in de

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Statistics CS

Suppose student Ana is running for a charity and asks her friend to chip in the donation. Suppose each friend donates independently, and the donated value $ T_i $ is a random variable with the following probability density:

\[
p(T_i = t_i) =
\begin{cases}
c & t_i \in [5, 10] \text{ dollars} \\
c & t_i \in [35, 40] \text{ dollars} \\
0 & \text{otherwise}
\end{cases}
\]

Let's assume $ T_i $'s are mutually independent and each donation is a continuous random variable given they're using electronic transfer. Ana requested from 150 friends for the donation. Let $ X $ be the total amount in dollars Ana collected from these 150 friends. You need to simplify for this problem.

For the remaining subquestions, assume $ T_i $ follows a normal distribution instead with a **mean of 10** and **variance of 28**.

**Question:**
What is the probability that $ X $ is more than 1519? Assume $ X $ is a normal distributed random variable. Use the given CDF table to solve.

\[
P(X > 1519) = \text{number (2 significant figures)}
\]

**Instructions:**
Which row and column (assuming 1-indexed, the title row, title column, and empty rows do not count) and round down/truncate in the given CDF table can be used to calculate the probability above? For example, for rounding if you get a z-score of 0.519, you should round up to .52, and if you get .514, you should round down to 0.51.

- **Row**: integer
- **Column**: integer

**Explanation:**
This question involves statistical concepts related to the normal distribution, where you need to use a CDF (Cumulative Distribution Function) table to find probabilities. You need to determine the z-score for 1519 using the mean and variance given, then reference the correct row and column in the CDF table for your calculations. This task requires rounding the z-score correctly based on given rules to ensure accuracy.

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