1. Fill in the table by providing a variable type of each variable description (12 pts).

Variable description	Variable type
Number of eggs laid by a robin
Preference by gibbons for different types of fruit
The presence or absence of a mutation
Tail length of sperm cells
Number of flowers per orchid
pH of muscle tissue

2. The distribution of wing lengths in natural populations of Drosophila has a mean of 78 micrometers and a standard deviation of 15 micrometers. Assuming that this distribution is approximately normal, determine the probability that randomly sampled fly has [show work]:

1. a wing length greater than 85 micrometers (5 pts)

1. a wing length less than 74 micrometers(5 pts)

1. a wing length between 79 and 83 micrometers (5 pt

3. The following lists are the probability for different fur and eye colors possessed by cats:

Fur color: Brown = 0.50 Black = 0.30 Yellow = 0.20

Eye color: Green = 0.30 Blue = 0.60 Gray = 0.10

Assuming that fur color and eye are determined independently of one another, what is the probability that [show work]:

1. A cat has green or blue eyes (4 pts)

1. A cat has brown fur and blue eyes (4 pts)

1. A cat has black fur and blue or green eyes (4 pts)

4..Microcystis is a type of cyanobacteria that is common to Michigan lakes. It is considered harmful, but only 2 out of 500 cells are actually toxic. If you accidently ingested five cells, what is probability of ingesting at least one toxic cell [show work]. (8 pts)