Question

The following table gives the total endothermic reactions involving sodium bicarbonate

Final Temperature Conditions	Number of Reactions
266 K	17
271 K	60
274 K	92

Assume that reactions are independent. What is the probability that among 10 reactions, 5 have a final temperature 271K and at least 4 have a final temperature 274K?

Answer 1

here probability of final temperature of 266 K =17/169

probability of final temperature of 266 K =60/169

probability of final temperature of 266 K =92/169

hence from multinomial distribution:

probability that among 10 reactions, 5 have a final temperature 271K and at least 4 have a final temperature 274K

=P(5 have a final temperature 271K and 4 have a final temperature 274K and 1 have a final temperature 266 K)+P(5 have a final temperature 271K and 5 have a final temperature 274K)

=

=0.130742