Answer to Question #302257 in Statistics and Probability for annie

Question

A laboratory supervisor in hospital is investigating number of reported on-the-job training accidents over a period of one month. Based on past records, she has derived the following probability distribution for x; where x is the number of reported accidents per month. Find the mean

Answer 1

Needlestick injuries reported $(x)$ : 0, 1, 2, 3, 4, 5

Frequency $(f)$ : 8, 10, 2, 5, 3, 7

$$mean=\dfrac{\sum _ix_if_i}{\sum _if_i}$$

$$=\dfrac{1}{8+10+2+5+3+7}\big(0(8)+1(10)+2(2)$$

$$+3(5)+4(3)+5(7)\big)=\dfrac{76}{35}\approx2.17$$