1. A botanist wanted to know if the stem lengths of daffodils differed depending on which side of a building they grew on. So she measured all of the flowers on the north, east, south, and west sides
of the building and created the following graph: Figure 1 – Daffodil Stem Length
a. What is the explanatory variable here? What is the response
variable? (1pt)
variable? (1pt)
b. Which building side has the largest range? Which side has the
largest IQR? (1pt)
largest IQR? (1pt)
c. On the north side of the building, the first quartile is 33cm, the
median is 36cm, and the third quartile is 38cm. If she goes to the
north side and randomly selects one daffodil, what is the
probability that it is between 36cm and 38cm? (1pt)
median is 36cm, and the third quartile is 38cm. If she goes to the
north side and randomly selects one daffodil, what is the
probability that it is between 36cm and 38cm? (1pt)
d. If she goes to the north side and randomly selects four daffodils,
what is the probability that none of them are between 36cm and
38cm? (2pt)
what is the probability that none of them are between 36cm and
38cm? (2pt)
2. A genetic trait is inherited via the Y chromosome such that for a
father with the trait, his male offspring have a 25% chance of
inheriting it but his female offspring cannot inherit it. Suppose that
in a certain population, 40% of offspring are male and offspring genders are independent events. For a father with the trait who has
two offspring, what is the probability that the older offspring has
the trait and the younger offspring does not? (3pt)
father with the trait, his male offspring have a 25% chance of
inheriting it but his female offspring cannot inherit it. Suppose that
in a certain population, 40% of offspring are male and offspring genders are independent events. For a father with the trait who has
two offspring, what is the probability that the older offspring has
the trait and the younger offspring does not? (3pt)
3. Doctors collected data from 73 patients with malaria. Each patient
had one of three types of Malaria (P.v., P.m., or P.f.) and were from
either Columbia or Venezuela. Of the 40 patients from Columbia,
65% had P.v. malaria. In Venezuela, the same number of patients
had P.v. as P.f. And of the 25 patients with P.f., 52% were from
Venezuela.
had one of three types of Malaria (P.v., P.m., or P.f.) and were from
either Columbia or Venezuela. Of the 40 patients from Columbia,
65% had P.v. malaria. In Venezuela, the same number of patients
had P.v. as P.f. And of the 25 patients with P.f., 52% were from
Venezuela.
a. Create a contingency table to display this data. (3pt)
b. What is the probability that a patient from Columbia has either P.v.
or P.m.? (1pt)
or P.m.? (1pt)
c. What proportion of these patients do not have the P.m. type of
malaria? (1pt)
malaria? (1pt)
d. Are having P.f. malaria and being from Venezuela independent
events? Justify your answer. (3pt)
events? Justify your answer. (3pt)
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