Question

4. The following Table represents the numb ng Table represents the number of accidents and the corresponding number of days in which those accidents occurred on a given plant during past year. Number of accidents Number of days 185 102 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

Number of Accidents	Number of days
0	185
1	102
2	55
3	12
4 or more	11
Total	365

a.)Frequency Distribution

b.)

Number of Accidents(X)	P(X)
0	0.507
1	0.279
2	0.151
3	0.033
4 or more	0.030
Total	1

c.)

-507 0:279 0.151 0.033 0.030 0 1 2 3 4 or more

d.)

ans: 0.151

e.)

P(less than 2 accidents)=P(0)+P(1)=0.507+0.279=0.786