Gramin Adarsha Multiple Campus

Tarkeshwar -11, Nepaltar Kathmandu

First Term Exam 2079

Level/Year: B. Ed. First Year                                                                        Full Marks:50

Subject: Foundation of Mathematics (Math. Ed.416)                                            Pass Marks: 20

Time: 1:30 hrs

Candidates are required to write the answers in their own words as far as practicable. The figures in the margin indicate full marks.

Attempt all questions.

                                                   Group B                                                             4 ´ 7 = 28

1.         Define conditional statement with example. Write the implications of different forms of conditional statements.

2.         A random sample of size 64 is taken from a normal population with mean        m = 51.4 and s = 6.8. What is the probability that the mean of the sample will

            (a) exceeds 52.9       (b) fall between 50.5 and 52.3          (c) be less than 50.6.

3.         Using simplex method solve the following linear programming problem.

            Maximize P = 25x + 45y

            Subject to x + 3y £ 21, 2x + 3y £ 24,   x ³0, y ³ 0





OR,

            In a certain campus 25% of the boys and 10% of the girls are studying mathematics. The girls constitute 60% of the students. If a student is selected at random and is studying mathematics, what is the probability that the student is a girl.

                                        Group C                                                      1 ´ 12 = 12

5.         (a) Define conditional probability. State and prove Baye's theorem.

            (b) A fair dice is rolled 120 times. Find the probability that the face 4 will turn up 18 times or less.

Best of Luck

 

Gramin Adarsha Multiple Campus

Nepaltar Kathmandu

Level/Year: B. Ed. First Year                                                             

Subject: Foundation of Mathematics (Math. Ed.416)

Time: 20 minutes

Name: …………………………………………….

Roll No: ……

Attempt all questions.

                                                   Group A                                                                     20 ´ 1 = 20

Tick ( √ ) the best answer.

1.         If P is a true statement and q is false, which of the following is true ?

            a) p Ù q                        b) p Ú q                   c) p ® q                  d) (p Ú q) Ù q

2.         If a compound statement consists of prime statements p, q and r, how many rows contain its corresponding truth table?      

            a) 4              b) 6                          c) 8                          d)16

3.         In the linear programming the given conditions are called

            a) constants                      b) constraints           c) linear function                d) objective function

4.         The value of the correlation coefficient lies in

            a)         - 1 < r < 1                       b)- 1£ r < 1                           

            c)         - 1 £ r £ 1                       d)r ³ 1 and r £ - 1

5.         The variance of a random variable X with mean E(X) = m is given by

            a) E(X) - m2                               b)E(X2) - m

            c) E(X)2 - m2                                      d)E(X - m)

6.         The mean and variance of binomial distribution are:

            a) npq and np                              b) np and npq

            c) np and pq                                d) npq and npq