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Assuming GMAT scores are normally distributed having mean of 540 and standard deviation of 100, find the probability of obtaining

a. A score of 750 or higher?

b. A score of 590 or less?

c. A score of 540 or less?




A study of a random sample of 50 of the technicians conducted in a company that employs 800 technicians shows that the average sample age is 34.30 years. Historically the population standard deviation of the age of the company's employees is approximately 8 years. Construct a 98% confidence interval to estimate the average age of all engineers in the company.


indicate the type of scale ( nominal, ordinal , interval, ratio) for the following variables:

1) stock market conditions, bullish, bearish or flat.

2) consumer's preference for Apple I- phone to Samsung A series

3) Rating given on satisfaction of OLA cab service

4) Quarterly earnings declared by Wipro

5) Orders generated by Sales executives.


A student randomly guesses the answers to a 6 question MCQ with three alternatives. if there is one in three chance of guessing correctly on each question, what is the probability that the student misses no questions What is the probability he misses one question?


According to the U.S Bureau of labor statistics, the average weekly earnings of a production worker in 1997 were $ 424.20. Suppose a labor researcher wants to test to determine whether this figure is still accurate today. The researcher randomly selects 54 production workers from across the united states and obtains a representative earnings statement for one week from each. The resulting sample average is $ 432.69. Assuming a population standard deviation of $ 33.90, and a 5% level of significance, test the hypothesis that the mean weekly earnings of a production worker have changed.


The current rate for producing 5 amp fuses at Neary Electric Co. is 250 per hour. A new machine has been purchased and installed that, according to the supplier, will increase the production rate. A sample of 10 randomly selected hours from last month revealed the mean hourly production on the new machine was 256 units, with a standard deviation of 6 per hour. At 5% significance level can we nearly conclude that the new machine is faster?


Aptitude Test No. of claims settled in a month


65 68

70 60

60 62

77 80

75 85

50 40

53 52

73 62

65 60

82 81


Using regression analysis on the above data answer the following question:

A) if a new employee Sarah scores 88 on the test how many claims is she like to settle?

B) Interpret the coefficient of determination


a computer manager is keenly interested to know how efficiency of her new computer program depends on the size of incoming data structure. Efficiency will be measured by the number of processed requests per hour. Data structure may be measured on how many tables were used to arrange each data set.

data size =6 7 7 8 10 10 15

no. of table =4 20 20 10 10 2 1

processed request =40 55 50 41 17 26 16


please solve the question

Thank you .

A breakfast cereal manufacturer packs one of five pictures (A, B, C, D, E) in each box of cereal. If you buy two boxes, what is the sample space for the random experiment whose outcome is the two pictures in the boxes? 2. A small town has three grocery stores (Choppies, Bakgatla and SaveRite). Four ladies living in this town each randomly and independently pick a store in which to shop. Give the sample space of the experiment which consists of the selection of the stores by the ladies. Then define the events: A: all the ladies choose Choppies B: half of the ladies choose Choppies and half choose Bakgatla C: all the stores are chosen by at least one lady.


Let A and B be two sets defined in the universal set, U. Depict the following sets in Venn diagrams: (a) C = A ∩ B¯  ∪ A¯ ∩ B  (b) D = (A ∩ B) ∪ (A ∩ B) (c) What can you say about the set C and 


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