Answer to Question #324541 in Statistics and Probability for via

Question

Number of Defective COVID-19 Rapid Antibody Test KitSuppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the random variable for the number of defective test kits, construct the probability distribution of the random variable X.

Answer 1

D=defective kits

N=Non defective kits

X=number of defective

n=3

P(X=x)=$\binom{3}{x}\cdot p^x \cdot (1-p)^{3-x}$