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128 students were asked how much they spent on a movie ticket at the movie theater. The national average amount spent on a ticket at the movie theater is

`$14`

with a standard deviation of $6. What is the probability that the random sample of students will give a result within

`$0.01`

of the true value? The average number of students per classroom is 35 , with a standard deviation of 5 . If 44 classrooms were sampled, how likely is it that the sample averaged fewer than 33.5 students? The average number of text messages sent per day is 30 with a standard deviation of 10 . If 117 people are surveyed, what is the probability that the sample sends less than 30.92 text messages per day?