1. The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. a. Determine the probability that the sum of the dice is 8. The probability that the sum of the dice is 8 is ______. 2. Image attached 3. Suppose that C and D are two events such that P(C)=1/5 and P(C & D)=1/10. What is P(D|C)? P(D|C) = 4. A person has agreed to participate in an extrasensory perception (ESP) experiment. He is asked to randomly pick two numbers between 0 and 9, inclusive. The second number must be different from the first. Let H=event the first number is2, and K=event the second number picked exceeds 7. Complete parts (a) through (e) below.a. Determine P(H).P(H) = **Contingency Table for Active Naval Military Personnel**This table displays data categorized by marital status and pay grade among active naval military personnel. The figures are segmented into various pay grades (Enlisted $G_1$, Officer $G_2$, and Warrant $G_3$) and different marital statuses:- **Marital Status:** - $M_1$: Single without children - $M_2$: Single with children - $M_3$: Joint service marriage - $M_4$: Civilian marriage**Table with Missing Entries**| Marital Status | Enlisted $G_1$ | Officer $G_2$ | Warrant $G_3$ | Total ||-------------------------|------------------|-----------------|-----------------|-----------|| Single w/o children $M_1$ | 118,111 | 13,911 | 74 | 132,096 || Single with children $M_2$ | 14,780 | [ ] | [ ] | 16,353 || Joint service marriage $M_3$ | 14,727 | 2,686 | [ ] | [ ] || Civilian marriage $M_4$ | 124,973 | 32,037 | 1,429 | 158,439 || **Total** | **272,591** | [ ] | **1,656** | **324,362** |**Objectives:**- Fill in the five missing entries to complete the table.**Steps to Solve:**1. Calculate missing entries for the Officer $G_2$ and Warrant $G_3$ categories by subtracting the available values from the totals provided in each section and the overall totals.

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Answered: 1. The accompanying figure shows the 36…

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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1. The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below.

a. Determine the probability that the sum of the dice is 8.

The probability that the sum of the dice is 8 is ______.

2. Image attached

3. Suppose that C and D are two events such that P(C)=1/5 and P(C & D)=1/10. What is P(D|C)?

P(D|C) =

4. A person has agreed to participate in an extrasensory perception (ESP) experiment. He is asked to randomly pick two numbers between 0 and 9, inclusive. The second number must be different from the first. Let H=event the first number is

2, and K=event the second number picked exceeds 7. Complete parts (a) through (e) below.

a. Determine P(H).

P(H) =

**Contingency Table for Active Naval Military Personnel**

This table displays data categorized by marital status and pay grade among active naval military personnel. The figures are segmented into various pay grades (Enlisted $G_1$, Officer $G_2$, and Warrant $G_3$) and different marital statuses:

- **Marital Status:**
- $M_1$: Single without children
- $M_2$: Single with children
- $M_3$: Joint service marriage
- $M_4$: Civilian marriage

**Table with Missing Entries**

| Marital Status | Enlisted $G_1$ | Officer $G_2$ | Warrant $G_3$ | Total |
|-------------------------|------------------|-----------------|-----------------|-----------|
| Single w/o children $M_1$ | 118,111 | 13,911 | 74 | 132,096 |
| Single with children $M_2$ | 14,780 | [ ] | [ ] | 16,353 |
| Joint service marriage $M_3$ | 14,727 | 2,686 | [ ] | [ ] |
| Civilian marriage $M_4$ | 124,973 | 32,037 | 1,429 | 158,439 |
| **Total** | **272,591** | [ ] | **1,656** | **324,362** |

**Objectives:**
- Fill in the five missing entries to complete the table.

**Steps to Solve:**
1. Calculate missing entries for the Officer $G_2$ and Warrant $G_3$ categories by subtracting the available values from the totals provided in each section and the overall totals.

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