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# Probability

### Waiting Line Models

The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 9 minutes, there are three registration clerks, and guests arrive at the rate of one every 6 minutes, find a. Arrival and service rate. b. the probability all three clerks are idle. c. the probability a g

### Statistics - Probability Distribution

Statistics - Probability Distribution - [Please see the attached Questions File]

### Operations management problems

Management Science 1. There is a fixed cost of \$50,000 to start a production process. Once the process has begun, the variable cost per unit is \$25. The revenue per unit is projected to be \$45. Find the break-even point. 2. Administrators at a university are planning to offer a summer seminar. It costs \$3000 to reserve

### Probability-failure rate

A fire detection sensor is tested for its failure rate and found to have a mean failure rate of 3.6E-2 per hour of exposure with a standard deviation of .4E-2 per hour. The distribution of the failure rates is normal. If a sensor is selected at random from a large lot for installation in a system, what is the probability that it

### Probability

A bin contains seven parts. The probability that any part in the bin is defective is 3.5E-3. If one part is selected at random from the bin, what is the probability that it is defective? Please explain equation used and steps to solve the problem.

### Using the given probabilities of certain individual events, find the probability of each of the specified combinations of those events.

Using the given probabilities of individual events, find the probabilities that the specified combinations of those events will occur: 1. If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway. The stud

### 7 multiple choice questions on probability, probability distribution, normal distribution, Poisson distribution,

1) A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from this program to be interviewed about the introduction of a new fast food outlet on ground floor of the campus building, what is the probability that all four students selected are undergraduate students. A)

### Normal distribution

1) A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. Wha

### The probability that a new advertising campaign will increase sales is assessed as being 0.80.

1) The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that cost is kept within budget and the campaign sa

Can you answer these problems and show work. 1. How many variations in the first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? 2. Suppose a family plans 6 children, and the probability that a particular child is a girl is ½. Find the probabilities that the 6-child family has at least

### Discrete Distributions : Bernoulli, Binomial, Discrete Uniform

My main problem is deciding with discrete distribution to use: BERNOULLI, BINOMIAL, DISCRETE UNIFORM, GEOMETRIC NEGATIVE BINOMIAL, OR POISSON. Every time I choose one, it's the wrong one. Is there some way I can easily find out which one to use. Because what I do now is I choose by trial and error ,which takes me a long time but

### Finding the probability of repeats in finite sequences

1. What is the probability that out of 3 people, 2 were born in the same month. 2. What is the probability that a seven digit phone number has 1 or more repeats. 3. What is the probability that given 5 letters selected randomly from the alphabet, none is repeated? 4. What is the probability 2 of more randomly selected s

### Probability Analysis : Roulette

1. Roulette is played at a table similar to the one in Figure 3.37. A wheel with the numbers 1 through 36 (evenly distributed with the colors red and black) and two green numbers 0 and 00 rotates in a shallow bowl with a curved wall. A small ball is spun on the inside of the wall and drops into a pocket corresponding to one of

### Probabilities

See the attached file. 1. In determining automobile mileage ratings, it was found that the mpg in the city (X) for certain model is normally distributed, with a mean of 22.5 mpg and a standard deviation of 1.5 mpg. Find the following: a. P(X < 22.5) b. P(0 < X < 24) c. P(X > 25) d. P(22 < X < 22.5) e. P(X < 21) f. P(21

### Probability

1. A survey of 100 MBA students found that 75 owned mutual funds, 45 owned stocks, and 25 owned both. a. What is the probability that a student owns a stock? A mutual fund? b. What is the probability that a student owns neither stocks nor mutual funds? c. What is the probability that a student owns either a stock or mutual f

### Using the binomial distribution with order statistics

Let Y1<...<Y8 be the order statistics of 8 independent observations of a continuous type distribution with 70th percentile 27.3. a) Determine P(Y7<27.3) b) Find P(Y5<27.3<Y8) (See attachment for neater mathematical presentation of the question)

### Independent Probability of Coins and Cubes

1. A cube has all 6 sides painted blue; this cube is then cut into 64 equal cubes. What is the probability, Pn where n = 1, 2, 3, that a little cube (one of the 64) picked at random will have n painted faces? 2. A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or

### Probability Multiplied Wrong Values

For #70a, b I know I have to use the complement like 1- (p(all four people with no good blood)) but do I multiply each probability or add them? For #66 not sure how begin this one For #63 I feel as if i don't have enough info to start with. For # 29,29b I get values that are way off the correct answers, like a) 13

### If the random variable z is the standard normal score, which of the following probabilities could easily be determined without referring to a table?

If the random variable z is the standard normal score, which of the following probabilities could easily be determined without referring to a table? A. P(z > 2.86) B. P(z < 0) C. P(z < - 1.82) D. P(z> -0/5)

### Probability

In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 11 patients using the drug is selected. Find the probability that: a) exactly two will have this mild side effect b) at least one will have this mild side effect.

### Probability of distribution of two random variables

From probability... Distributions of two random variables. The Correlation Coefficient. 1. A certain species of plant produces a flower that is either red, pink, white or on rare occasions blue. Form an analysis of the plants genes it is possible to calculate the the probability of a red flower is , the probability of white i

### Employees in the textile industry can be segmented as follows.

4. Employees in the textile industry can be segmented as follows Employees Number Female and union 12,000 Female and nonunion 25,000 Male and union 21,000 Male and nonunion 42,000 a. Determine the probability of each event in this distribution. b. Are the events in this distribution mutually exclusive? Expl

### Probability Problem Set (14 Questions)

1. During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person. 2. If you roll a die many times, what would you expect to be the relative frequency of rolling a

Supose a pill exists with the property that one out of every 100 such pills contains a lethal amount of a substance, and that the other 99 are harmless. Caluclate how many people would be expected to die if 1,000 people each take 1 pill and if 1,000 people each take 10 pills. If 1,000 people take a single pill we would expect

### The question is related to calculation of probability for different events from a sample of 2,000 licensed drivers revealed the following number of speeding violations. The second question is related to the selection students based on their gender and major.

I need some assistance with the attachment document. 8. A sample of 2,000 licensed drivers revealed the following number of speeding violations. Number of Violations Number of Drivers 0 1,910 1 46 2 18 3 12 4 9 5 or more 5 Total 2,000 a. What is the experiment? b. List one possible eve

### Basic Probability Problems

Hello again! 1. Suppose you have 3 nickels, 2 dimes and 6 qtrs in your pocket. If you draw a coin ramdomly what is the probality that a. you will draw a dime ? b. you will draw a half dollar ? c. you will draw a qtr ? 2. you are rolling a pair of dice, one red and one green. what is the probability of the following outcomes

### Waiting Lines and Queuing Theory Models

The problem is this: In planning for a major redesign, Beth collected data at her store on several consecutive Saturday mornings. She noticed that customers arrived at the checkout at a rate of approximately 100 per hour. Fully 20 percent of the customers had 10 items or less. Those people took about 2 minutes to serve on av

### Probability

The probability of a coat having a defect is 1/3. What is the probability of there being 15 defective coats in a batch?

### Probability, Profit / Loss and Expected Values

A coats manufacturer knows that there is a probability of 1/3 of their coats having defects that will prevent a retailer from selling the coat. The cost of manufacturing the coats is \$60 per coat. To persuade retailers to buy from them, they make the following offer: ? A sample of five coats is to be taken, at random, from e

### Sets, Complements and Probability

1. Set x= (5,7,11,13,16,19) Set y= (1,2,5,13,19) a. what is the union of sets x and y b. what is the intersection of sets x and y c. create your own set z that is a subset of x 2.Let set 1 be the entire alphabet. let set 2 = (w,x,y,z) a. what is the complement of set 2 in set 1 b. set 3 =(w,x,z). is set 3 a proper subs