Question

4. Ine following Table represents the number of accidents and the corresponding of days in which those accidents occurred on a given plant during past year. Number of accidents Number of days 185 102 55 12 11 4 or more a) Is this a frequency distribution or a probability distribution? b) Construct the probability distribution for a random variable X representing the number of accidents. c) Graph the probability distribution. d) What is the probability of two accidents tomorrow? e) What is the probability of less than two accidents tomorrow?

Answer 1

Given the able, table No of accidents | No. of days 185 102 55 12. 407) mareh I fi = 365 a) for a given no.de accidents, they give now. many it occer So, it is undoubtely friequency distribution No.of accidents probability 10 S =0.5068 = 0.229 Es = 0.1506 3&5 = 0.0328 licory more o - dm šis 0.030) C) graphi Probability 05 012345 NO.Of accidents

d) x: no-of accidents :P(X=2) No-of favourable cases e t Total no of cases. P(x=2) = $$=0:1506 e) PCX<2) = PLK=O) + P(X=1) = 1855 teses 305068 + 0.299 pXX<2) = 0.7858 183