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# Probability

### Probability that the Student is at Least 31

The age distribution of students at a community college is given below: age(years) number of students(f) under 21 407 21-25 407 26-30 200 31-35 31 over 35 23 ---------------------------------------------- 1088 A student from the comm

### Appropriate Probability Space

Consider the experiment of choosing a whole number between 1 and 10, where the probability of selecting a number is proportional to the number itself; for example, the outcome 4 is twice as likely as the outcome 2, etc. Set up an appropriate probability space to model this experiment. Be as explicit as possible.

### Sample Space Probability

I have 2 problems. Both are attached in the file 1. Consider the experiment of choosing a whole number at random from between 1 and 10, inclusive. a. Set up a sample space for this experiment. b. What is the event that the outcome is odd? Write your answer as a set. c. What is the event that the outcome is strictly g

### Sum of the Probabilities

Which of the following probabilities for the sample points A,B,and C could be true if A, B and C are the only sample points in an experiment? a- P(A)= 1/8, P (B) = 1/7, P(C)= 1/10 b. P(A)= 1/4 P(B)=1/4, P(C)=1/4 c. P(A)= -1/4, P(B)= 1/2 P(C)=3/4 d. P(A)=0, P(B)= 1/14, P(C)=13/14.

### Examine probability.

2. Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5. 3. This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B. 4. If a person is randomly selected, find the probab

### Determining Lottery Odds

Lottery One million tickets are sold for a lottery in which a single prize will be awarded. a) If you purchase a ticket, determine your odds against winning. b) If you purchase 10 tickets, determine your odds against winning.

### Statistic question need 200 word + to decribe outcome!

Suppose you are flying a four-engine aircraft on a 10-hour transoceanic flight. Assume that it has been established that the probability of an engine of the type you have on your aircraft failing during a 10-hour flight is 0.008. Determine the probability of all four engines failing during the flight. A student decided that

### Probability of Receiving an F

The grade distribution is as follows for the past three (3) years for a course in college algebra, as shown below. A's - 45; B's- 180; C's - 110; D's - 95; F's - 65; and Incompletes- 5. If Jane plans to take a college algebra course, determine the empirical probability that she does not receive an F.

### Quantitative Methods- Probability Problem

The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities. a) The probability that at most 7 minutes is taken to produce the part. b) The probability that between 5 and 15 minutes are taken to produce the part. c) The probability that at least 3 minutes is taken to pro

### Quantitative Methods-Probability Problem

6) The daily rate of production of a part is normally distributed with mean 75 and standard deviation 10. If denotes a day's production of this part, use this information to find the following probabilities. You may use computer software if you wish. (5 points each) a) P (X less than or equal to 90) b) P(55 less than

### Quantitative Methods- Probabilities Problem

A country road averages 6 potholes per mile. A road crew is sent out to repair the road. Find the following probabilities. Use the appropriate table or software if you want. a) That a mile stretch of road will have exactly 7 potholes. (3 points) b) That a half mile stretch of road will have at most 2 potholes. (6 points)

### Quantitative Methods- Probability Problem

4) 55% of a restaurant's orders are from customers eating in the restaurant and 45% from the drive through window. 65% of the orders from the customers eating in the restaurant are from food and 35% from drinks. 79% of the drive through orders are from food and 21% from drinks. Use this information to find the following probabi

### Probability and Measure of Central Tendency problems

1. In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car

### Profits and probabilities

1. Business College is planning an online MBA tech program, start up cost for equipment, facilities, course development, staff recruitment and development is \$350,000. College plans to charge tuition of \$18,000 per student per year. The university administration will charge the college \$12,000 per student for the first 100 stu

### Demonstrate probability determined

1) Tire Life - The life of a tire is normally distributed with a mean of 76,000 miles and a standard deviation of 10,000 miles. a) Determine the probability that a tire will last for less than 67,000 miles. b) Determine the probability that a tire will last for more than 67,000 miles. c) Determine the probability

### 5 questions featuring probability & other concepts

1. How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side? 2. If all the diagonals of a regular pentagon are drawn, how many triangles are formed? 3. If a 75-degree sector of a circle rotates around the center of a circle in 75-de

### Probability and Expressions

Evaluate the expression. Sec 12.6 #40 TWO Spins: assume that the pointer cannot land on the line and that each spin is independent. 40) Red and then yellow. Sec 12.9 #12 Evaluate the expression. a) b)

### Continuous Probability Distribution

5.62 A certain airplane has two independent alternators to provide electrical power. The probabilitythat a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) On e or the other will fail? Show all steps carefully. 5.70 The probability is

### Permutation and combination are demonstrated.

7. Let A(4,3) and B(7,11) be two points in a plane. If all paths are equally likely, what would be the probability of choosing a path that begins with an up move and ends with an up move? (Each path is made up of moves that either go up one unit or over one unit to the right.) 8. In a state lottery game, anyone who picks 6 n

### Permutation and combination

4. What are the odds that a randomly selected number between 1 and 100 will not have a digit 7? (For instance, 23 does not have a digit 7, but 73 does.) 5. There are 4 slots, each containing any of letters a, m, h, t. HINT: What are the odds that letters stored in these slots read the word math? Remember that each slot

### Probability and probability distribution

What is a probability and what is a probability distribution? Explain with examples?

### Reasons For Skewed Distribution Results

What "real world" factors do you think contribute to a skewed distribution? Please explain in detail.

### Probability

A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number, but in his emotional state he does not remember the order of the digitals. He decided to try to dial the seven digits in some random order. What is the probability that he will get to the right gi

### Probability Transition Matrix

4. Each day for lunch, Dr. Smith either brings in a lunch, has Taco Bell or gets a free lunch in the Springdale Room as he takes either students or guests of the department for lunch. On any given day there is a 10% probability that he will eat in the Springdale Room. If he brought in lunch yesterday, then he either remembers

### Mixed Probability Questions

Solve the following problems showing your work: 1. In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the pr

### Probability questions below

Solve the following problems showing your work: i need complete answers please 1. In a poll, respondents were asked whether they had ever been in a car accident. 157 respondents indicated that they had been in a car accident and 117 respondents said that they had not been in a car accident. If one of these respondents

### Queuing Theory and Analysis

If the cost of waiting is \$5.00 per unit per period and the service facility costs \$2.50 per unit served, what is the total system costs? If the service rate is doubled at a total cost of \$3.50 per unit served, what is the total system costs? Note: Must use information from previous problem: The arrival rate for a certain wa

### Probability and Measures of Central Tendency

1. The weight in pounds of ten randomly-selected football players are: 245, 304, 310, 251, 195 185, 230, 264, 315, 196 Find the median of these weights. 2. The price in dollars of a gallon of gasoline at the end of each month is recorded for one year. The results are: (SEE ATTACHED FILE) Find the midrange of t

### Highest score expectation - dart board

Assume a dart board with 4 scoring areas worth 20 pts, 10 pts, 5 pts and zero pts. Person A has the following likelihood with each dart: 20 pts - 50% 10 pts - 15% 5 pts - 15% 0 pts - 20% Person B has the following likelihood per dart: 20 pts - 20% 10 pts - 20% 5 pts - 10% 0 pts - 50% Question: If Player A gets to