Answer & Explanation:I need a worksheet for statistic math assignment completed. The document is in the file below
week_8_chapter_5_group_problems.docx
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WS-12: Section 5.1 Practice: Names: _______________________, ______________________,
1)
2) Suppose you roll a die 100 times and get six 80 times. Based on these results, what is the estimated probability
that the next roll is a six?
3) A bag of 100 tulip bulbs purchased from a nursery contains 40 red, 35 yellow, and 25 purple tulip bulbs.
4) In a national survey conducted by the Center for Disease Control to determine college students’ health-risk
behaviors, college students were asked, “How often do you wear a seatbelt when riding with someone else?”
Frequencies are in the following table:
Section 5.2 Practice:
The sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Let event E = {2, 3, 4, 5, 6, 7},
event F = {5, 6, 7, 8, 9}, event G = {9, 10, 11, 12}, and event H = {2, 3, 4}. Assume that each outcome is
equally likely.
1) List the outcomes of E and F________________________________________ Are they mutually exclusive?
2) List the outcomes of E and G ________________________________________ Are they mutually exclusive?
3) List the outcomes of F or G __________________________________
4) List the outcomes of Ec -_____________________________________
5) If P(E)=0 .25 and P(F) = 0.45 and P(E and F)= 0.15 find P(E or F) ___________________
6) If a golf ball is selected at random from a bag containing 9 Titleists, 8 Maxflis and 3 Top-flites, find
a) P( a titleist or Maxfli)
b) P( not a Top-flite)
7) The table represents the number of live multiple births (3 or more) in 2007 for women age 15-54,
a) Determine the probability that a randomly selected multiple birth in 2007
for women 15 to 54 years old involved a mother 30 to 39 years old. Interpret
this probability.
b) Determine the probability that a randomly selected multiple birth in 2007
for women 15 to 54 years old involved a mother who was not 30 to 39 years
old. Interpret this probability.
c) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother
who was less than 45 years old. Interpret this probability.
d) Determine the probability that a randomly selected multiple birth in 2007 for women 15 to 54 years old involved a mother
who was at least 20 years old. Interpret this probability.
8) A standard 52 card deck is used. One card randomly selected:
a) Compute the probability of randomly selecting a two or three from a deck of cards.
b) Compute the probability of randomly selecting a two or three or four from a deck of cards.
c) Compute the probability of randomly selecting a two or club from a deck of cards.
Section 5.3 Practice:
1) A manufacturer of exercise equipment knows that 10% of their products are defective. They also know that
only 30% of their customers will actually use the equipment in the first year after purchase. If there is a 1-yr
warranty on the equipment, what proportion of the customers will actually make a valid warranty claim?
2) If there are 500 students in the school, what
is the probability that everyone passes
exam?
What is the probability that at least one of the 500 will not
pass the proficiency exam?
3)
a) What is the probability that two randomly selected females over the age of 24 are both college graduates?
b) What is the probability that two randomly selected people over the age of 24 are both women
c) Suppose four people over the age of 24 are randomly selected, what is the probability that at least one will
be a college graduate?
d) Suppose that three people over 24 years old are randomly selected, what is the probability that at least one
will not have attended college?
Chapter 5 Review.
1. Which among the followingnumbers could be the probability of an event?
3 3
0.23, 0, , , − 1.32, 1.1
2 4
For Problems 2-4, let the sample space be S = {Chris, Adam, Elaine, Brain, Jason}.
Suppose that the outcomes are equally likely.
2. Compute the probability of the event E = {Jason}
3. Compute the probability of the event E = {Chris or Elaine}
4. Suppose the E = {Adam}. Compute the probability of EC.
6a. The National Fire Protection Association reports
that 32% of fires in 2006 were in structures. What is
the probability that a random selected fire from
2006 was in a structure?
6b. What is the probability that a randomly selected fire
from 2006 occurred somewhere other than in a
structure?
7. The following probability model shows the distribution of the most popular selling Girl Scout Cookies
a. Verify that this a probability model.
b. If a girl scout is selling cookies to people who randomly
enter a shopping mall, what is the probability that the
next box sold will be Peanut Butter Patties/Tagalongs TM
or Peanut Butter Sandwich/Do-si-dosTM?
(c) If a girl scout is selling cookies to people who
randomly enter a shopping mall, what is the
probability that the next box sold will be Thin Mints,
Samoas/ Carmel Delites or Shortbread/Trefoils?
d. What is the probability that the next box sold will not
be Thin Mints?
8. During the 2010 season, the Minnesota Twins won 58% of their games. Assuming that the outcomes of the
baseball games are independent and that the percentage of wins this season will be the same as in 2010, answer
the following questions:
a. What is the probability that the Twins will win two games in a row?
b. What is the probability that the Twins will win seven games in a row
c. What is the probability that the Twins will lose at least one of their next seven games?
…
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