Transcript Slide 1

Refer to the following description: A group of
bird-watchers is trying to determine what types
of birds is common in their area. The group
observed 21 sparrows, 15 purple finches, 10
chickadees, 5 cardinals and 2 blue jays.
a) Is the data quantitative or qualitative
b) Create a frequency table
c) Create a bar graph
A study is done to determine the average commuting
time of employees at a company. A total of 34
employees are surveyed, with the following results in
minutes:
31.9, 34, 30.7, 39, 33.1, 35.2, 30.5, 32.7, 29.4, 33.4, 22.3,
31.9, 32.3, 29.4, 33, 18.2, 29.1, 32.5, 22.2, 36.1, 27.7,
36, 31.9, 26, 31.7, 23.2, 30.7, 24.4, 33, 28.4, 28.8, 23.3,
32.2, 22.8
a) Is the data quantitative or qualitative
b) Is the data discrete or continuous
c) Create a stem plot
d) Create a histogram with class intervals of 5
minutes
e) Use the histogram to describe the shape
31.9, 34, 30.7, 39, 33.1, 35.2, 30.5, 32.7, 29.4, 33.4,
22.3, 31.9, 32.3, 29.4, 33, 18.2, 29.1, 32.5, 22.2,
36.1, 27.7, 36, 31.9, 26, 31.7, 23.2, 30.7, 24.4, 33,
28.4, 28.8, 23.3, 32.2, 22.8
a) Find the mean
b) Find the median
c) Find the mode
d) Find the sample standard deviation
e) Find the range
f) Find the 1st and 3rd quartiles
g) Find the interquartile range
h) Create a box plot
Outcome
1
Probability
.1
2
3
.4
4
5
.1
a) Suppose the probabilities are the same for
outcomes 2 and 4. Complete the distribution
b) What is the probability the outcome is an even #
c) What is the probability the outcome is greater
than 2
d) Suppose the experiment with the given
probability distribution is repeated 3 times.
Assuming the trials are independent, what is the
probability of the outcome {1,2,3}
An experiment consists of spinning the spinner at
left 3 times. A probability distribution for the
outcomes is given below (w=white, r = red)
Outco
me
WWW
WWR
WRW
RWW
WRR
RWR
RRW
RRR
Prob.
.512
.128
.128
.128
.032
.032
.032
.008
A random variable is assigned to the # of times
the spinner lands on red:
a) What is the range of the random variable
b) What is the probability that the value of the
random variable is 2
c) Create a prob. distribution for the random
variable
d) Find the expected value of the random var.
A sock drawer contains 6 identical black socks, 8
identical white socks, and 1 blue sock. A sock is chosen
randomly from the drawer. Assume all socks are equally
likely to be chosen.
a) What is the prob. of choosing a black sock? A white
sock? A blue sock?
b) Suppose a black sock is chosen. What is the
probability that the next sock chosen will also be
black?
c) Suppose a white sock is chosen. What is the
probability that the next sock chosen will also be
white?
d) Suppose a blue sock is chosen. What is the
probability that the next sock chosen will also be
blue?
A lottery ticket involves matching 5 #’s between 1 and
50 in any order. What is the probability of matching
all 5 #’s. What is the probability of matching any 4 #’s.
A committee of 8 people randomly chooses 3
people in order to be president, vicepresident, and treasurer. In how many ways
can the officers be chosen?