craft breweries that make beer in small batches are experiencing a spectacular growth in bars and liquor stores across the nation. The craft beer industry now boasts of 4269 breweries, representing a 12% market share of the total beer market in the united states (Fortune, March 22, 2016). It has been estimated that 2 craft breweries open every day. Assume this number represents an average that remains the constant over time. a) What is the probability that exactly 4 craft breweries open in a day? b) What is the probability that there are at least 5 craft breweries open in a day? c) What is the probability that exactly 10 breweries open every week? d) What is the probability that at least 20 craft breweries open every week?

Suppose the heights of 18-year-old men are approximately normally distributed, with mean 69 inches and standard deviation 4 inches.

(a) What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall? (Round your answer to four decimal places.)

(b) If a random sample of seventeen 18-year-old men is selected, what is the probability that the mean height x is between 68 and 70 inches? (Round your answer to four decimal places.)

(c) Compare your answers to parts (a) and (b). Is the probability in part (b) much higher? Why would you expect this?

The probability in part (b) is much higher because the standard deviation is smaller for the x distribution.

The probability in part (b) is much higher because the mean is larger for the x distribution.    

The probability in part (b) is much higher because the mean is smaller for the x distribution.

The probability in part (b) is much lower because the standard deviation is smaller for the x distribution.

The probability in part (b) is much higher because the standard deviation is larger for the x distribution.

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution.

1264 1285 1313 1187 1268 1316 1275 1317 1275

(a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

x =

s =

(b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.)

lower limit  

upper limit  

1) a) A drawer contains 9 white socks and 7 black socks. Two different socks are selected from the drawer at random. What is the probability that both of the selected socks are white?

b) A box contains 10 white marbles and 7 black marbles. Suppose we randomly draw a marble from the box, replace it, and then randomly draw another marble from the box. (This means that we might observe the same marble twice). What is the probability that both the marbles are white?

c) Suppose that 3.4 % of the items produced by a factory are defective. If 5 items are chosen at random, what is the probability that none of the items are defective?

d) Suppose that 5.7 % of the items produced by a second factory are defective. If 5 items are chosen at random from the second factory, what is the probability that exactly one of the items is defective?

2) a) Suppose that 8.8 % of the items produced by a third factory are defective. If 5 items are chosen at random from the third factory, what is the probability that exactly two of the items are defective?

b) Suppose that 5.1 % of the items produced by a fourth factory are defective. If 5 items are chosen at random from the fourth factory, what is the probability that at least two of the items are defective?

c) Suppose that 9.6 % of the items produced by a fifth factory are defective. If 6 items are chosen at random from the fifth factory, what is the expected value (or mean value) for the number of defective items?

d) In a certain town, 19 % of the population develop lung cancer. If 25 % of the population are smokers and 85% of those developing lung cancer are smokers, what is the probability that a smoker in this town will develop lung cancer?

e) . A certain kind of light bulb has a 8.5 percent probability of being defective. A store receives 54 light bulbs of this kind. What is the expected value (or mean value) of the number of light bulbs that are expected to be defective?

1) You study the number of cups of coffee consumer per day by students and discover that it follows a discrete uniform probability distribution with possible values for x of 0, 1, 2 and 3.

What is the expected value of the random variable x?

2) The weight of cats is a continuous random variable and has a normal distribution with a mean of 10.27 pounds and a standard deviation of 4.26 pounds.

What is the probability that a randomly chosen cat weighs exactly 11.327 pounds?

3) A florist looks at his sales and discovers that the probability that a randomly selected flower sold is a rose is 0.40.

The probability that a randomly selected flower sold is white is 0.10.

The probability that a randomly selected flower sold is a white rose is 0.03.

Given that a randomly selected flower sold is white, what is the probability that it is also a rose?

4) During the past five years, the probability that a California consumer has bought a burrito (event B) is 0.70 and the probability that a California consumer has bought a Honda (event H) is 0.10.

The probability that a California consumer has bought both a burrito and Honda in the past five years is 0.05.

Are the purchases of burritos and Hondas in the past five years among California consumers independent events?

2. What would you expect each of the following developments to do to the price of dollars in euros? a. European investors lose confidence in American assets and decide to buy fewer American stocks and bonds. b. The European Union removes its existing tariffs on goods from the United States. c. Inflation is higher in the United States than in Europe. Please explain parc c with a graph. This question was answered previously on this websit but it was incorrect so do not post the same answer.

After additively manufacturing a part, many manufacturers will perform Hot Isostatic Pressing (HIP) to remove pores from the material. These pores form naturally as part of the process of additive manufacturing, and negatively affect the fatigue life and mechanical properties of the part. After HIP, the material often becomes soft since the high temperature of the process also removes the microstructure.

What process would you use to strengthen the material after the HIP process without changing shape of the part, and why?

A 3 diameter biotower has been designed to treat sewage from 22,000 PE.Influent BOD = 250mg/l and wastewater flow through the primary clarifier removes 35 percent of the BOD and the flows into the biotower the constant r andom media n= 0.44, recycle ratio = 2 and operating temperature =250^0c.

a determine the reaction rate constant k₂₅ if the existing BOD =50mg/l

b what would be the biotower effluent at 20^0c if the recycle ratio is increase to 4

Programming Language Concept assignment:

1. Design abstract data type for matrices with integer elements in C++ language, including operations for matrix addition, subtraction, and multiplication!
2. Design abstract queue data types for float elements in C++ language, including operations for enqueue, dequeue, and empty. The dequeue operation removes the element and returns its value!
3. Set semaphores in Ada and use them to provide co-operation and synchronization of competitions in shared buffer instances!

A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore.

(b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)

(c)Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)

(d) Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to two decimal places.)
μ =  fish

(e) Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to three decimal places.)
σ =  fish

particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. x 0 1 2 3 4 or more % 43% 35% 15% 6% 1%

(b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)

(c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Enter a number. Round your answer to two decimal places.)

(d) Compute μ, the expected value of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to two decimal places.) μ = fish

(e) Compute σ, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round 4 or more to 4). (Enter a number. Round your answer to three decimal places.) σ = fish