Every now and then even a good diamond cutter has a problem and the diamond breaks. For one cutter, the rate of breaks is .2%. Suppose now that you want to find the probability that at least 1 is broken when twelve diamond cutters are selected at random. Choose the option below that best answers how to do this question. Let X be the discrete random variable that represents the number of breaks. Assume a binomial distribution. a. do (.998)^12 Ob)
b. do 1 – [(-998)^12] c)
c. calculate P(X=1) + P(X=2) +...+ P(X=12) using the binomial formula or an individual table in excel d)
d. calculate the P(X31) using the binomial formula or a cumulative table in excel e)
e. both b and care correct f)
f. both c and d are correct