In: Statistics and Probability
Some job applicants are required to have several interviews before a decision is made. The number of required interviews and the corresponding probabilities are: 1 (0.09); 2 (0.31); 3 (0.37); 4 (0.12); 5 (0.05); 6 (0.05).
a) Does this information describe a probability distribution? What is the sum of probabilities?
b) Assuming it does, find its mean and standard deviation.
c) Use the range rule of thumb to identify the range of values for usual numbers of interviews.
d) Is it unusual to have a decision after just one interview? Explain.