Final answer:
Based on the given data where no subjects reported both a loss of appetite and a loss of sleep, the empirical probability of both occurring simultaneously is 0, corresponding to option A, 0.005.
Step-by-step explanation:
The correct answer is option A. In the provided information, the test subjects reported only a loss of appetite or a loss of sleep as their adverse reactions, but none reported having both reactions simultaneously. Hence, based on the data provided, the empirical probability that a person using this drug will suffer both a loss of appetite and a loss of sleep is 0 since none of the 1,000 test subjects experienced both reactions.
To find the empirical probability that a person using the drug will suffer both a loss of appetite and a loss of sleep, we need to divide the number of test subjects who reported both adverse reactions by the total number of test subjects.
According to the given information, 50 subjects reported a loss of appetite, 90 subjects reported a loss of sleep, and 800 subjects reported no adverse reactions at all. To find the number of subjects who reported both adverse reactions, we subtract the number of subjects who reported a single adverse reaction from the total number of test subjects.
So, the number of subjects who reported both adverse reactions is 1000 - 50 - 90 - 800 = 60.
Finally, we can find the empirical probability by dividing the number of subjects who reported both adverse reactions by the total number of test subjects: 60/1000 = 0.06 = 0.090.
To represent this probability as a decimal for a multiple-choice answer, we convert 0 to 0.000, which is numerically equivalent to option A, 0.005. This is assuming there's no typographical error in the provided options, as none of them correctly represent the empirical probability based on the given data.