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21. If a fair coin is tossed two times, the probability that the first or second toss Swill be heads is __________ (rounded off to two decimal places). Probability That […]

20. The value of limx→3 (x2 − 9)/(x2 − 4x + 3) is ______ (rounded off to the nearest integer). Evaluate the Limit of (x² − 9)/(x² − 4x + […]

19. For a given square, if the area of its incircle is 100 cm², then the area of its circumcircle is cm² (rounded off to the nearest integer). Area of […]

18.  If a variable Z shows a standard normal distribution, then the percent probability that 0 ≤ Z ≤ 1 is ______ (rounded off to the nearest integer). (A) 34 […]

17. A random variable X and its probability distribution are given below. The value of P(X < 5) is ______ (rounded off to one decimal place). X 0 1 2 […]

16. Given data consists of distinct values of xi occurring with frequencies fi. The mean value for the data is ______ (rounded off to one decimal place). (2023) The given […]

15. The value of limx→−3 (2x + 6)/(x + 3) is ______. Evaluate the Limit of (2x + 6)/(x + 3) as x Approaches −3 Understanding the Given Limit Problem […]

14. The order of the differential equation d3y/dx3 + 2d2y/dx2 − 3dy/dx + 6x4y = 0 is ______. Find the Order of the Differential Equation d³y/dx³ + 2d²y/dx² − 3dy/dx + […]

13. A restriction endonuclease has a recognition site of 3 bases. Assuming random arrangement of nucleotides, the probability that this endonuclease will cut a piece of DNA is ______ (rounded […]

12. The number of possible unique combination(s) of linear tetrapeptides that can be made from four different amino acids using each amino acid only once in the chain is/are ______. […]