I\'m not sure what this question is asking. 1. (30 points) A tick is a small ins

Question

I'm not sure what this question is asking.

1. (30 points) A tick is a small insect. A lone star tick is a particular type of tick. Tick bites sometimes transmit various diseases including Lyme disease and Erlichiosis. What would be a reasonable guess for the dis- tribution of each of the following: (a) The number of tick bites that you receive during May 2012. (b) The number of tick bites that you receive until being bitten by a lone star tick. (c) Out of the next 5 ticks that bite you, whether any of those 5 ticks were infected with Erlichiosis or not.

Explanation / Answer

In the above question, it is asked to find the distribution we should apply for each of the three cases.

1) The number of tick bites during May 2012.

This is the number of successes during a given time period. Hence we use Poisson distribution.

2) The number of tick bites before being bitten by a lone star tick.

This is the number of attempts(tick bites) before the first success(lone star tick bite).Hence it is a geometric distribution.

3)Out of 5 ticks, if any are infected.

Number of observations are given, Asked t find the rate of success. This is binomial distribution

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