If a student is selected at random, find the probability that the student is a sophomore or less likely to enroll in one or more of them.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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Answer the following:

1. In a recent survey, the following data were obtained in response to the question, "If the number of summer classes were increased, would you be more likely to enroll in one or more of them?

Class Yes  No No opinion

Freshmen

22 8 3
Sophomores 16 3 3
    If a student is selected at random, find the probability that the student is a sophomore or less likely to enroll in one or more of them.
 
2. The probability that a certain machine will produce a defective item is 1/4. If a random sample of 7 items is taken from the output of this machine, what is the probability that there will be 3 or 4 defectives in the sample?
 
3. There are 5 patients on a ward of a hospital who are monitored by 1 staff member. If the probability of a patient requiring emergency attention by a staff member is 0.30, assuming that the patients behave independently, what is the probability that there will not be sufficient staff to attend to all emergencies?
 
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