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***URGENT*** TEST 1. At one large university, freshmen account for the 40% of the student body, if...

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Statistics

***URGENT*** TEST

1. At one large university, freshmen account for the 40% of thestudent body, if a group of 15 students is randomly chosen by theschool newspaper to comment on textbook prices; what is theprobability that at most three of the students are from freshmen?Round your answer to four decimal places (Use Binomial distributionto model this probability)

2.    The Test score in statistics of a class ofstudents has a normal distribution with mean 65 and standarddeviation 20. If a student in that class gets

40 marks in statistics, what is the corresponding z-score of thestudent’s mark. Round your answer to 2 decimal places.

4. Find the following probabilities: (Round your answer to fourdecimal places)

  1. P(Z ≤-1.5)                  b)   P(Z ≥0.25)                c)   P(- 0.5 ≤ Z   ≤ 0.5) d)   P(Z ≤-.45   0r Z ≥ 1.15

5. Assume that the distribution of weights of adult males isnormal with a mean of 179.8 lbs. and a standard deviation of 45lbs. Find the probability
    that a randomly selected adult male would haveweight less than 170 lbs.   Round your answer to fourdecimal places.

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