All athletes at the olympic games are tested for performance-enhancing steroid drug use. the imperfect test gives positive results (indicating drug use) for 90% of all steroid-users but also for 2% of those who do not use steroids (that is, the false-positive rate is 2%). suppose that 4% of all registered athletes use steroids. if an athlete is tested negative, what is the probability that the test is wrong and he or she actually uses steroids?

0.4%

Step-by-step explanation:

We have two independent events

The probability of 1) to happen is 0.04 because "4% of all registered athletes use steroids".

The probability of 2) ti happen is 0.1 because "The imperfect test gives positive results (indicating drug use) for 90% of all steroid-users"

Then the probability of 1) and 2) to happen is given by

=0.4%

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

answer: options?

step-by-step explanation: