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Punjab (PTB) · Chapter test · Free

1st Year Statistics Chapter 7 TestRandom Variables

30 marks · 40 minutes · 21 questions. Covers: CHAP 7: Random Variables.

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1st Year Statistics Chapter 7 Test

1st Year · Statistics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. The random number o to 9 ae called random numbers:

    1. 1-digit

    2. 2-digit

    3. 3-digit

    4. 4-digit

  2. Probability proportional to size is abbreviated as:

    1. PPS

    2. SPP

    3. PPP

    4. PSP

  3. Random variable is also called:

    1. Discrete variabel

    2. Continuous variable

    3. Chance variable

    4. Variable

  4. PPS is used when we have information about:

    1. Random variables

    2. Probabillities

    3. Probability distribution

    4. Index numbers

  5. A balanced diet is rolled, the probabillity of getting odd number is:

    1. 1/2

    2. 1/4

    3. 1/6

    4. 1/3

  6. We can get random numbers from:

    1. Games of change

    2. Readin books

    3. Different people

    4. Reading tables

  7. If the set of values comprises isolated points on a real line, then the variable is called:

    1. Discrete

    2. Continuous

    3. Given

    4. Random

  8. The range of psedou random digit is from:

    1. 0 to m +1

    2. A natural number

    3. An integer 

    4. A rational number

  9. A random variable may be disccret or:

    1. Experimental

    2. Functional

    3. Given

    4. Continuous

  10. In pseudo random techniques, the digits will re-appear in the:

    1. Cycle

    2. Manner

    3. Order

    4. Raoutine

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. How random number can be generated?

  2. Make a random variable for number of heads when two coins are tossed.

  3. What is variable.

  4. Make random variable for tail when three coins are tossed.

  5. What are random numbers?

  6. Given a random variable X with E (x) = 12 and S.D (X) =5. Find E(x2).

  7. Write three properties of random experiment.

  8. Define random experiment.

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. There are three children in a family. Let the random variable denote the number of boys in a family. Write down the possible outcomes and the values assigned by the random variable assuming equal chances for boys and girls.

  2. Generate the first 6 random digits using the pseudo-random number generator with m=100, a=21, b=7, xo=10.

  3. Count the number of head and tails when a single coin is tossed 10 times without throwing a coin.