Suppose there are three levels of allergy related to plants, namely high, moderate, and low, and we survey two groups of people in the state of Washington and the state of New York. (10 pts)

60% of all respondents in the survey come from New York. 40% are from Washington. Among respondents from New York, one-third (33.333333.....%) of respondents are affected by high allergy; one-third are affected by moderate allergy; one-third are affected by low allergy. In other words, the New York sub-sample is uniformly split by three allergic levels. Among respondents from Washington, 75% of respondents are affected by high allergy; 25% of respondents are affected by moderate allergy. Calculate the following numbers:

3-5 What is the conditional probability that, given we randomly choose a respondent affected by high allergy, this respondent is from the state of New York?