Answer:
10 seconds
Step-by-step explanation:
The probability that a mosquito will bite you each second is given by the probability that a mosquito lands multiplied by the probability that it will bite you:
[tex]P(B) = 0.5*0.2 = 0.1[/tex]
This means that the expected number of bites is 0.1 per second. The expected time between consecutive bites is given by:
[tex]t=\frac{1}{P(B)} =\frac{1}{0.1}=10\ seconds[/tex]
The expected time between successive bites is 10 seconds.