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12th Standard English Medium Business Maths Subject Probability Distributions Creative 5 Mark Questions with Solution Part - I

12th Standard

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Business Maths

Time : 00:30:00 Hrs
Total Marks : 25
    5 x 5 = 25
  1. Four coins are tossed simultaneously. What is the probability of getting
    a) atleast 2 heads
    b) atmost 2 heads.

  2. 20% of the bolts produced in a factory are found to be defective. Find the probability that in a sample of 10 bolts chosen at random exactly 2 will be defective using
    (i) Binomial distribution
    (ii) Poisson distribution (e-2 = 0.1353)

  3. The mean weight of 500 male students in a certain college is 151 pounds and the S.D is 15 pounds. Assuming the weights are normally distributed, find how many students weight
    (i) between 120 and 155 pounds
    (ii) more than 185 pounds.

  4. If the height of 300 students are normally distributed with mean 64.5 inches and standard deviation 3.3 inches find the height below which 99% of the student lie?

  5. Marks in an aptitude test given to 800 students of a school was found to be normally distributed 10% of the students scored below 40 marks and 10% of the students scored above 90 marks. Find the number of students scored between 40 and 90?

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