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Find initial solution for the following transportation problem using Least Cost method. D1 D2 D3 D4 Availability S1 19 30 50 10 7 S2 70 30 40 60 9 S3 40 8 70 20 18 Requirements 5 8 7 14 


1.The curve between 0 and -2.0?



2.The curve to the right of 1.5




Find a power series solution pf xy'=y

Give one example and also prove that for the complex series which is



1) Conditionally Convergent.



2) Absolutely Convergent.



3) Both.



4) Neither

A principal at a certain school claims that the students in his school are above average intelligence. A random sample of thirty students IQ scores have a mean score of 112.5. Is there sufficient evidence to support the principal’s claim? The mean population IQ is 100 with a standard deviation of 15. Use 0.05 level of significance.

  1. A researcher thinks that people under the age of twenty have vocabularies that are different than those of people over sixty years of age. Thus, to test this hypothesis, the researcher administers a vocabulary test to a group of 25 younger samples and 30 older samples. The mean score of the younger samples was 20.0 and the standard deviation of their score was 5.0. On the other hand, the mean score of the older samples was 14.0 and the standard deviation of their scores was 6.0. Does this experiment provide evidence for the investigator’s theory?
  2. The mean number of close friends for the population of people living in the city is 5.7. An investigator predicts that the mean number of close friends for introverts will be significantly less than the mean of the population. The mean number of close friends for a sample of 26 introverts is 6.5 with the standard deviation of 1.3. Are the given data support the investigator’s prediction?

An achievement research was conducted to the Grade 10 students of Scott National High School. The researcher randomly selected twenty (20) Grade 10 students to take a diagnostic exam in Mathematics at the start of the school year. The same students took the achievement exam in Mathematics at the end of the school year. The scores of each exam where calculated and the mean differences of the two exams is 2.05 with a standard deviation of 2.84. Find the t-value.



The probability that aa new automobile has a backup camera is 0.6. The probability



that a new automobile has a GPS system is 0.4. The probability that a new



automobile has both a backup camera and GPS is 0.2. If a new automobile is



selected at random, what is the probability that it has neither a backup camera nor a



GPS?



a school orders 10 dictionaries they cost $25 each the school pays $15 for shipping how much dose the school pay o get the new dictionaries


A shipment of five computers contains two

that slightly defective. If a retailer receives three of these computers at

random, list the elements of the sample space S using the letters D and N for

defective and non-defective computer, respectively. To each sample point assign a value x of the

random variable X representing the number of computers purchased by the

retailer which are slightly defective. FIND THE MEAN, VARIANCE AND STANDARD DEVIATION


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