Refer to the following description: A group of bird-watchers is trying to determine what types of...

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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 2 3 4 5

Probability .1 .4 .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 2d) 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)

Outcome

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 variableb)What is the probability that the value of the random variable is 2c)Create a prob. distribution for the random variabled)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, vice-president, and treasurer. In how many ways can the officers be chosen?