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

12th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 25

    Part I

    5 x 5 = 25
  1. X is normally distributed with mean 12 and sd 4. Find P(X ≤ 20) and P(0 ≤ X ≤ 12)

  2. In a photographic process, the developing time of prints may be looked upon as a random variable having the normal distribution with a mean of 16.28 seconds and a standard deviation of 0.12 second. Find the probability that it will take less than 16.35 seconds to develop prints.

  3. A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain
    (a) no more than 2 rejects?
    (b) at least 2 rejects?

  4. The time taken to assemble a car in a certain plant is a random variable having a normal distribution of 20 hours and a standard deviation of 2 hours. What is the probability that a car can be assembled at this plant in a period of time .
    a) less than 19.5 hours?
    b) between 20 and 22 hours?

  5. X is a normally normally distributed variable with mean μ = 30 and standard deviation σ = 4. Find
    (a) P(x < 40)
    (b) P(x > 21)
    (c) P(30 < x < 35)

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