Analyze Table 8.3 using a latent class model with q = 2.

a. For a subject in the first latent class, estimate the probability of having used (i) marijuana, (ii) alcohol, (iii) cigarettes, (iv) all three, and (y) none of them.

b. Estimate the probability a subject is in the first latent class, given they have used (i) marijuana, (ii) alcohol, (iii) cigarettes, (iv) all three, and (y) none of them.

Table 8.3:

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Alcohol, Cigarette, and Marijuana Use for High School Seniors Marijuana Use Cigarette Alcohol Yes Use Use No Yes Yes 911 538 No 44 456 No Yes 3 43 No 279 2.