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A consumer organization was concerned
about the differences between the advertised sizes
of containers and the actual amount of product. In
a preliminary study, six packages of three different
brands of margarine that are supposed to contain
500 ml were measured. The differences from
500 ml are listed here. Do these data provide
sufficient evidence to conclude that differences exist
between the three brands? Use = .01.
Brand 1 Brand 2 Brand 3
1 2 1
3 2 2
3 4 4
0 3 2
1 0 3
0 4 4
1. Table 1 shows the production of corn and soy bean in China and Mexico.
Table 1: Production of using1 acre of land for corn and soy bean.
China
Mexico
Corn
8
2
Soy Bean
2
10
Referring to the above table, determine:
a) Which country has an absolute advantage in producing corn and soy bean. Why?
b) Which country has a comparative advantage in producing corn and soy bean. Why?
An Urban council has installed 2000 lamps with mercury bulbs in the streets of town area. The lifetimes of these bulbs are normally distributed with a mean of 1200 burning hours and having a standard deviation of 200 hours.
(1) How many of these bulbs can be expected to fail in the first 800 burning hours?
(2) How many of these bulbs can be expected to fail in Between 900 and 1750 burning hours?
(3) After what number of burning hours would you expect that 10 % of the bulbs would fail?
(4) After what number of burning hours would you expect that 150 bulbs are still in good condition?
A bag contains 6 blue balls, 5 green balls and 4 red balls.Three are selected at random without replacement.find the probability that
(a) they are all blue
(b) two are blue and one is green
(c) there is one of each colour
The National Bank was established in 2005 targeting to businesses and shopkeepers near to the bank which is located in the downtown area. The bank emphasizes on the quality of service and convenience to the customers. The services are being provided with automated machines as well as personal services. The bank’s management wants to review its services and improve where necessary. The research team of the bank conducted a survey of 20 customers. The samples were randomly selected from the total 85,000 customers. The survey questionnaire is shown as below with six variables: gender, age, education, occupation, location and preferred method.
If X ~ P(3), find the probability
a) By using Poisson formula
b) By using Poisson table
i)
ii)
iii)
iv)
v)
1.The amount of water consumed by a person per day on the job is normally distributed with mean 2 lts. and standard deviation 0.5 lt. A company supplies its employees with 200 lts of water daily. The company has 100 employees.
a. Find the probability that the water supplied by the company will not satisfy the water demanded by its employees.
b. Find the probability that in the next 4 days the company will not satisfy the water demanded by its employees on at least 1 of these 4 days. Assume that the amount of water consumed by the employees of the company is independent from day to day.
What is the cdf of tossing a pair of dice several times, let take X RV is the sum of the dice possiple outcomes.
TN = T1C
2. A job requires 20 hours for the initial unit and 12.8 hours for the fourth unit. What is the learning rate?
TN = T1C
3. A job with a 95% learning curve required 19 hours for the second unit. The first unit should require approximately how many hours?
TN = T1C
4. The first product took 10 hours to build and the learning curve is estimated to be 90%. How long will it take to make the eighth unit?
TN = T1C
5. The first unit of production took 10 hours with a 90% learning curve. How long will it take to complete both the first and second units?
TN = T1C
Sheep No 1 2 3 4 4 6 7 8
Food A 49 53 51 52 47 50 52 53
Food B 52 55 52 53 50 54 54 53
Assuming that the two samples of sheep are independent; can we conclude that Food B is better than Food A?
#340153 on Dec 2023