1. The foreman of a bottling plant has observed that the amount of soda pop in each 32 ounce bottle is actually a normally distributed random variable with? = 32.2 ounces and? = .3 ounces.
a. Find the probability that if a customer buys one bottle, it will contain at least 32 ounces...

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?

5. A venture capital company feels that the rate of return (X) on a proposed investment is approximately normally distributed with a mean of 30% and a standard deviation of 10%.
a. Find the probability that the return will exceed 55%.
b. Find the probability that the return will be less ...

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...

It has been conjectured by the U.S. Census Bureau that "approximately 60% of foreign-born people who live in the U.S. are not naturalized citizens". Suppose that in a national random sample of 70 foreign-born people who live in the U.S. that exactly 32 of them are not naturalized citizens. Select th...

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...

I have 100 items of a product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3
a) find the mass function, mean and variance of the number of items sold.
b) find the mass function, mean, and variance of the amount of demand that will be unfilled be...

7) The following table is from the Social Security Actuarial Tables. For each age, it gives the probability of death within one year, the number of living out of an original 100,000 and the additional life expectancy for a person of that age. Determine the following using the table:
a. To what ag...

Imagine you are the CEO of a local bank whose credit card holders engage in 1 billion credit card transactions per year; that the likelihood of a fraudulent transaction is 2%; that the average transaction purchase value for all transactions is equal to $38.50; and that the bank bears the full cost o...

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...

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...

Construct the probability distribution for the value of a 2-card hand dealt from a standard deck of 52 cards (all face cards have a value of 10 and an ace has a value of 11).
a. What is the probability of being dealt 21?
b. What is the probability of being dealth 20?
c. Construct a chart for t...

Dogs Households
0 1327
1 402
2 162
3 47
4 28
5 11
(a)
Use a frequency distribution to construct a probability distribution
x P(x)
0
1
2
3
4
5
Round to the nearest Thousandth as needed
Dogs 0 1 2 3 4 5
Households 1327 402 162 47 28 11
(b) Find the mean of the probabilit...

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...

In the past few years out sourcing over seas has become more frequently used than before by U.S. companies. However, out souring is not with out problems. A recent survey indicates that 20% of the companies that outsource over seas use consultant. Suppose 7 companies that outsource are selected rand...

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...

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 ...

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...

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. ...

What are examples of variables that follow a binomial probability distribution? What are examples of variables that follow a Poisson distribution? When might you use a geometric probability?

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...

I need help finding the probability that a student is either a male or nursing major.
Nursing majors Non-nursing majors Total
Males 98 1011 1109
Females 70...

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...

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...

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.

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?

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...

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 ...

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...