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Suppose the length in cm of a male soccer player's foot follows a Normal distribution with...

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Statistics

Suppose the length in cm of a male soccer player's foot followsa Normal distribution with mean 31 and variance 25. Suppose thelength in cm of a female soccer player's foot follows a Normaldistribution with mean 26 and variance 16. A male and female soccerplayer are selected at random. What is the probability the femaleplayer has a longer foot than the male player?

Question 13 options:

0.05

0.22

0.29

0.78

0.95

Independently of one another, a randomly surveyed individual canbe a non-smoker, a light smoker, or a heavy smoker withprobabilities 50%, 40% and 10%, respectively. Suppose we randomlysurvey a sample of 100 people. Given that 34 of them are lightsmokers, what is the expected number of heavy smokers?

Question 14 options:

6.6

11

33

55

None of the above

The Princess Theatre has 280 seats. 200 tickets are sold for thenew popular movie: The Attack of the Goose. Despite every attendeehaving an assigned seat, they all decide to sit in seats at random.Find the variance of the number of people sitting in their assignedseat. (Hint: use indicator variables)

Question 15 options:

0.712

0.714

5.246

11.704

None of the above

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