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1

Which of the following cannot be valid assignment of probability for elementary events or outcomes of sample space S = {w_{1}, w_{2}, w_{3}, w_{4}, w_{5}, w_{6}, w_{7}}:

Elementary events: | w | w | w | w | w | w | w |

(i) | 0.1 | 0.01 | 0.05 | 0.03 | 0.01 | 0.2 | 0.6 |

(ii) | |||||||

(iii) | 0.7 | 0.6 | 0.5 | 0.4 | 0.3 | 0.2 | 0.1 |

(iv) |

7

Which of the following statements are true and which are false? In each case give a valid reason for saying so

(i) p : Each radius of a circle is a chord of the circle.

(ii) q : The centre of a circle bisect each chord of the circle.

(iii) r : Circle is a particular case of an ellipse.

(iv) s : If x and y are integers such that x > y, then – x < - y.

(v) is a rational number.