Question

In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly selects 5 units to test. Let random variable X- the number of defective units that are among the 5 units tested. The probability mass function f(x)-P(x-x) is given below. f(x)-0,0.51154), 1,0.40385), (2,0.08077), (3,0.00385)) Recall that the mean μ o a discrete random variable X with probability mass x f Find u or the probability mass function above. What does this number represent? unction ven by μ x x xi X Type an integer or decimal rounded to four decimal places as needed.) What does this number mean? O A. This is the probability that every 5 units tested will contain at least one defective unit. O B. This is the average number of defective units in each batch of 26 units. ° C. This is the expected number of defective units for every 5 units tested O D. This is the exact number of defective units in every 5 units tested

Answer 1

xP(x) 0 0.51154 1 0.40385 |0.40385 2 0.08077016154 3 0.00385 0.01155 Total 1.0000 0.57694 Means, E(x)-Σ xp(x)-(S7694 Mean= E ( X C. This is the expected number of defective units for every 5 units tested