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Nyanza textile ltd sells six brands of shower-proof jacket. The prices and the numbers sold in week are

Price 18,20,25,27

Number sold 8,6,5,2


Question.

Calculate the Pearson correlation coefficient for the data above. Interprete your results.


Suppose, your friend is building an automated car called “Besla”. He needs to fix the programming of the car so that it runs at a proper speed. Now, write a python program that takes 2 inputs (distance in meters and time in seconds). The program should then print the velocity in kilometers per hour of that car. Also, it should print whether the car is working properly based on the following chart.





Velocity




Information to be printed





Less than 60 km/h




Too slow. Needs more changes.





Between 60 km/h to 90 km/h




Velocity is okay. The car is ready!





Greater than 90 km/h




Too fast. Only a few changes should suffice.





Undetermined Coefficients

4. y^ prime prime +2y^ prime +5y=1+e^ x



With the aid of a table, find the sample Standard Deviation of the following dataset:


X = {2.2, 4.7, 6.3, 5.8, 5.7, 7.2, 2.6, 2.4, 6.1, 6.8}

Is function f defined by f = {(1, 2), (3, 4), (5, 6), (8, 6), (10, -1)}, a one to one function?



A species of fish grows 1.2 cm in first year. Each year it grows by 2% more than it did the year before. Using geometric sequence find, how much does it grow in 10th year.



In a computer science department, a student club can be formed with either 10 members from first year or 8 members from second year or 6 from third year or 4 from final year. What is the minimum no. of students we have to choose randomly from department to ensure that a student club is formed?



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