#### Binomial Probability

Gary Schwartz is the top salesman for his company. Records indicate that he makes a sale on 70% of his sales calls. If he calls on four potential clients, what is the probability that he makes exactly 3 sales? What is the probability that he makes exactly 4 sales?

#### Using the Poisson Distribution Formula

Please help with following question: During normal business hours on the east coast, calls to the toll-free reservation number of the Nite Time Inn that the numb roy calls per minute can be described by the Poisson distribution. Find the probability that in the next minute, the number of calls a...

#### probability and SD, mean

The amount of time a bank teller spends with each customer has a population mean mx = 3.1 minutes and population standard deviation sx = 0.4 minute. a) What is the probability that for a randomly selected customer the service time would exceed 3 minutes? b) If many samples of 64 were selected...

#### Quantitative Method for a New Airline

Nw Airlines is studying its service from Atlanta to Chicago. Historical data shows that the mean number of passengers per flight is 110. If the number of passengers flying NW Airlines is normally distributed and with a variance of 96 passengers; a. What is the probability that a randomly selected...

#### Probability

1) For the following questions, would the following be considered "significant" if its probability is less than or equal to 0.05? a.Is it "significant" to get a 12 when a pair of dice is rolled? b. Assume that a study of 500 randomly selected school bus routes showed that 480 arrived on time. I...

#### Probability: Problem and Solution

Based on past experience, the poise department of the city of laurel knows that 50% of the automobiles reported stolen are recovered. In a month in which 30 automobile are stolen, what is the probability that a. 13 or more of the stolen automobile will be recovered. b. Less than 22 automobiles w...

#### Probability Distribution for a New Boutique

A clothing store owner opens a new boutique and is working on a 3-day forecast of sales during the grand opening of the boutique. The owner determines that there is a 40% probability that customers will visit the store and make a purchase, which means 60% will visit the store and not make a purchase...

#### Gambling Odds

The State of Ohio plays a daily (except Sunday) three digit lottery, where the player chooses any three numbers, 1 thru 10, three different times. In other words, the player chooses a number value between 000 and 999. If the state, to make things more interesting, ads a fourth ball to be drawn, one ...

#### Probability problem of daily lotteries

The State of Ohio plays a daily (except Sunday) three digit lottery, where the player chooses any three numbers, 1 through 10, three different times. In other words, the player chooses a number value between 000 and 999. If the state, to make things more interesting, ads a fourth ball to be drawn, o...

#### Opportunity-loss table

The following is an opportunity-loss table. The probabilities for the states of nature A, B, and C are 0.3, 0.5, and 0.2, respectively. If a person were to use the expected opportunity loss criterion, what decision would be made? A. Alternative 1 B. Alternative 2 C. Alternative 3 D. ...

#### Using a theorem to solve a probability problem

Please see attachment for the full question. A random sample of size n is drawn without replacement from an urn containing r red chips and w white chips. Define the random variable X to be the number of red chips in the sample. Use the summation described in Theorem 3.5.1 (see attachment) to pro...

#### Statistics random variables

Cellophane that is going to formed into bags for items such as dried beans or bird seed is passed over a light sensor to test if the alignment is correct before it passes through the heating units that seal the edges. If the alignment is too bad, the process is stopped and an operator adjusts it. Th...

#### Random Variables

Your company bids for two contracts. You believe the probability that you get contract #1 is 0.8. If you get contract #1, the probability that you also get contract #2 is 0.2, and if you do not get contract #1 the probability that you get contract #2 will be 0.3. a. Are the outcomes of the two co...

#### Probability of a ball drawn from an urn

An urn contains five balls numbered 1 to 5. Two balls are drawn simultaneously. (a) Let X be the larger of the two numbers drawn. Find p_x(k). (b) Let V be the sum of the two numbers drawn. Find p_v(k). Repeat the question for the case where the two balls are drawn with replacement.

#### Probability of a white chip

Urn I contains five red chips and four white chips; urn II contains four red and five white chips. Two chips are drawn cimultaneously from urn I and placed in urn II. Then a single chip is drawn from urn II. What is the probability that the chip drawn from urn II is white?

#### Probability: Keno

Please show complete solutions/explanations. Keno is a casino game in which the player has a card with the numbers 1 through 80 on it. The player selects a set of k numbers from the card, where k can range from one to fifteen. The "caller" announces twenty winning numbers, chosen at random from t...

#### Probability: Light Bulbs

Two lighting systems are being proposed for an employee work area. One requires fifty bulbs, each having a probability of 0.05 of burning out within a month's time. The second has onehundred bulbs, each with a 0.02 burnout probability. Whichever system is installed will be inspected once a month ...

#### Probability: Doomsday Airlines

Doomsday Airlines ("Come Take the Flight of Your Life") has two dilapitated airplanes, one with two engines, and the other with four. Each plane will land safely only if at least half of its engines are working. Each engine on each aircraft operates independently and each has probability p = 0.4 o...