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 no more than 2 are broken when ten 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)^10 b. do .002 raised to the 10th power, assuming independence between the trials c. calculate P(X=0) + P(X=1) + P(X=2) using the binomial formula or an individual table in excel d. calculate the P(X≤2) using the binomial formula or a cumulative table in excel e. both a and c are correct f. both c and d are correct
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 no more than 2 are broken when ten 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)^10
b. do .002 raised to the 10th power, assuming independence between the trials
c. calculate P(X=0) + P(X=1) + P(X=2) using the binomial formula or an individual table in excel
d. calculate the P(X≤2) using the binomial formula or a cumulative table in excel
e. both a and c are correct
f. both c and d are correct
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