Please help me Question 2Suppose that the latest census indicates that for every 10 young people available to work only 4 areemployed. Suppose a random sample of 20 young graduates is selected.Required:a) What is the probability that they are all employed?b) What is the probability that none of them are employed?c) What is the probability that at least four are employed?d) What is the probability that at most fifteen are employed?e) What is the probability that the number of young graduates who are employed is greater thanten but less than fifteen?) What is the expected number of graduates who are not employed?g) What is the standard deviation for the number of graduates who are not employed?

According to guidelines we solve first three subparts when given multiple subparts.

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College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 48E

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Question 1 [25]
In a survey conducted among a random sample of students the following observations were made
regarding their gender and learning environment preferences during the COVID-19 pandemic:
168 prefer online learning
202 prefer face to face learning
180 prefer blended learning
34 male students prefer online learning and 70 male students prefer blended learning
106 female students prefer face to face learning
d) If it’s known that the student is female, what is the probability that this student prefers online
learning.
e) Using a practical example, explain the difference between mutually exclusive events and
independent events.

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