## CHECK THESE SAMPLES OF The Understanding of Probability

...TMA M343 02 QUESTION a) (i 2) (3) (ii) (iii) (iv 2) (3) (v) (b) K QUESTION 2 QUESTION 3 (a) A good example of a simple random walk with two reflecting barriers is the movement of an elevator in a 10 storey building. Once the elevator reaches the ground floor, it will have a 100% **probability** of going up, and when it reaches the 10th floor, it will have a 100% **probability** of going down. The elevator goes up and down at discrete intervals. Reflection at the barriers is represents the points when the elevator is at the ground and the 10th floors.
(b) (i) 1.
2.
(ii) 1.
2.
(c)
(d)
QUESTION 4
(a)
(i)
COMMUNICATING CLASSES
a. 1, 4, 5 - closed, recurrent, periodic (3)
b. 3, 6 - not closed, transient, aperiodic
c. 2 - closed...

3 Pages(750 words)Math Problem

...Be sure to show your work so that partial credit may be awarded. To receive full credit, work must be shown if applicable. Section 3 Basic Concepts of **Probability** and Counting
1. Lock combinations are made by using 4 digits. How many different lock combinations can be made if repetition of digits is allowed?
Each place in the 4 digit number can be occupied by any of the 10 digits. Hence by the multiplication theorem of **probability**, we get
No of different combinations = 10 × 10 × 10 × 10 = 10000 combinations
2. In 2001 the stock market took some big swings up and down. One thousand investors were asked how often they tracked their investments. The table below shows their responses. What is the **probability** that an investor tracks...

2 Pages(500 words)Statistics Project

Statistics use assumption on population distribution to estimate population values based on sample values (Kemp & Kemp 257-66). Probability distributions functions or simply distribution functions are used (Soong 39-41). The distribution function associates a variable value with a probability (Soong 39). This can take the form Fx(x) =P(Xx) where the lowercase x refers to a specific value of a variable. Probability distribution functions have shapes represented by the mathematical equations. The areas under the curves or distribution functions are associated with probabilities.

In business statistics, some of the distribution functions that are often used are the Z-statistics, t-statistics, chi-square distribution, and the F-st...

7 Pages(1750 words)Term Paper

...What are the Historical facts Behind the Development of **Probability** and Distribution? Introduction Statistics is the field that is concerned with investigation, summarizing and inferring from facts relating to complex systems. History shows that various statistical tools such as **probability** and distribution methods were developed around the sixteenth century. The time period when these marvelous mechanisms were established was the scientific revolution. Some efforts regarding **probability** were also made in the 15th century in the context of dice throwing but the finished and established version came to light only in the sixteenth century (Aldrich, 2010).
The word **probability** originated form the Latin word probare that means informal...

6 Pages(1500 words)Essay

...Your full ID: Assignment 02-**Probability** Module + Hand Out “**PROBABILITY**” i. Given: P(A) = 6/7, P(B) = 7/8, P(D) = 9/10, and Machine efficiency = 27/44
P(C) = unknown
All four components need to be in working order for the machine to complete the process successfully. The machine will fail to complete the process from start to finish if at least one of the tasks fails. The efficiency of the machine is the **probability** that the machine completes the process from start to finish. Further, all tasks (from A to D) are independent tasks Therefore,
Therefore, the **probability** that component C is in working condition is
The **probability** that component C is in working condition is 10/11 (or 90.91%).
ii. If the firm operating the machine wishes...

4 Pages(1000 words)Coursework

...**PROBABILITY** Explain your strategy for solving the problem I will not call my opponents bet by tossing the rest of my money because in playing cards winning lies on **probability**. I would continue with my two down cards 6 of (diamonds) & 7 of (diamonds) bearing in mind that they will come up.
Explain why your strategy will work.
**Probability** does not always occur twice, so there is no need for quitting. My strategy therefore largely lies on **probability**. **Probability** is always related to gambling because if at all one of the down cards does not show up there is a high possibility that they will come up in the next play (Bassarear 2011).
Execute your strategy showing your mathematical work.
So am having the values diamonds=6, 7...

1 Pages(250 words)Speech or Presentation

... A 7-card hand is chosen from a standard 52-card deck. a. How many of these will have four spades and three hearts?
Number of ways to pick four spades = 13 C 4 = 715
Number of ways to pick three hearts = 13 C 3 = 286
Therefore, there would be [13 C 4 * 13 C 3] = 204,490
b. What is the **probability** that we draw a hand composed of precisely four spades and three
hearts?
Number of ways to pick 7 cards randomly: 52 C 7 = 133,784,560
Therefore, **probability** = [13 C 4 * 13 C 3] / (52 C 7) = 0.001528
(2) A committee of 3 people is to be selected from a group of 8 people, which includes 4 married couples. If the committee cannot contain more than one member of any married couple, how many 3-person committees are possible...

2 Pages(500 words)Speech or Presentation

...**Probability** **Probability** defines an event’s chance of occurrence and may be theoretical or experimental. While theoretical **probability** relies on naturally expected observations, experimental **probability** is derived from experimental observations. This report seeks to investigate **probabilities** in genetics and inheritance. The paper concludes that theoretical **probability** sufficiently predicts inheritance of genes.
Introduction
Olofsson explains that the knowledge of **probability** is fundamental in **understanding** inheritance of genes (p. 56). This is because characteristics of parents that are passed over to their offspring follow specific patterns. Both parents have pairs of chromosomes out of which one is transferred to an offspring at random...

2 Pages(500 words)Lab Report

...**Probability** Distributions This report contains the findings of a study done to determine the age, gender and crime distribution in various correctional facilities in the USA. It also includes the satisfaction scores for key components of criminal justice system and services. The research participants were 25 prisoners serving various jail terms in both the state and federal prisons. The survey established that four out of every five prisoners are males. Moreover, a person aged between 16 to 49 years is three times more likely to commit a crime than a person who is over 60 years old. Burglary topped the list of the most committed crime with 44%. On satisfaction, the criminal justice ranked first with 5.4 points while sentencing closed...

6 Pages(1500 words)Assignment

...Ranking of Jackson County judges Ranking of Jackson County judges Every year a number of cases are handled by judges in Jackson County. Some of these cases are appealed. However some of them are upheld. In connection to this the main aim of these study was to investigate how the judges perform based on the number of cases appealed and the number of cases reversed. This ranking was necessary to find out whether the judges are doing a great or not. Three courts were investigated: Municipal Court, Domestic Relations, and Common Pleas Courts.
To get the **probability** of appeal: P (Appeal), the following formula was used;
P (Appeal) =
To obtain P (reversed), the following formula was used.
P (Reversed) =
On the other hand P (R/A) was gotten...

8 Pages(2000 words)Essay