Is there a relationship between the male hormone testosterone and criminal behavior? To answer this question, medical researchers measured the testosterone level of penitentiary inmates and recorded whether they were convicted of murder. After analyzing the results, the researchers produced the following table of joint probabilities.

a. What proportion of murderers have above-average testosterone levels?
b. Are levels of testosterone and the crime committed independent?Explain.

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Testosterone Level Murderer Other Felon Above average Below average .27 21 24 .28