3.18 A civil engineering professor assigns a bridge building projectusing Popsic

Question

3.18

A civil engineering professor assigns a bridge building projectusing Popsicle sticks each semester. To get a passing grade,the structure must support at least 20lb. Historically, 10% ofthe student bridges fail to support 20lb. Assume that thecurrent class of 15 students forms a random sample.

a.       Find the probability thateveryone passes the project.

b.      Find the probability that atleast one person fails the project.

c.       Find the expected numberof students who pass, the variance, and the standard deviation.

d.      Find the expected number ofstudents who fail, the variance, and the standard deviation.

Explanation / Answer

x.P5omial probability formula goes as follows:

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