Alireza will take IE 4301 next semester and attend EVERY class in person. He will wear a mask to the first class. Thereafter, he WILL NOT wear a mask to 50% of the 4301 classes immediately after one to which he wore a mask. On the other hand, he WILL wear a mask to 75% of the 4301 classes immediately after one to which he did NOT wear a mask. Let X, = 1 if Alireza wears a mask to the nth 4301 class of next semester and let X, = 2 if he does not. Then (X,: n = 1, 2, ... } is a Markov chain that models the Alireza's behavior for the 30 classes of the semester. What is p11 in the associated P matrix, i.e., the probability that he wears a mask to the second class? O 0.50 O none of the other choices 0.75 O 0.25

A First Course in Probability (10th Edition)
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Alireza will take IE 4301 next semester and attend EVERY class in person. He will wear a mask to the first class.
Thereafter, he WILL NOT wear a mask to 50% of the 4301 classes immediately after one to which he wore a
mask. On the other hand, he WILL wear a mask to 75% of the 4301 classes immediately after one to which he did
NOT wear a mask. Let X, = 1 if Alireza wears a mask to the nth 4301 class of next semester and let X, = 2 if he
does not. Then (X,: n = 1, 2, ... } is a Markov chain that models the Alireza's behavior for the 30 classes of the
semester. What is p11 in the associated P matrix, i.e., the probability that he wears a mask to the second class?
O 0.50
O none of the other choices
O 0.75
O 0.25
Transcribed Image Text:Alireza will take IE 4301 next semester and attend EVERY class in person. He will wear a mask to the first class. Thereafter, he WILL NOT wear a mask to 50% of the 4301 classes immediately after one to which he wore a mask. On the other hand, he WILL wear a mask to 75% of the 4301 classes immediately after one to which he did NOT wear a mask. Let X, = 1 if Alireza wears a mask to the nth 4301 class of next semester and let X, = 2 if he does not. Then (X,: n = 1, 2, ... } is a Markov chain that models the Alireza's behavior for the 30 classes of the semester. What is p11 in the associated P matrix, i.e., the probability that he wears a mask to the second class? O 0.50 O none of the other choices O 0.75 O 0.25
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