Question

1.The number showing on the upper face of a fair six-sided dice is observed when rolled. Consider events A and B defined as:

- A = the number observed is at most 2
- B = the number observed is an even number

Find： 1.P(A') 2.P(A or B)

2.Along the road near Bundamba State High School, there are
traffic lights at two different locations. At the first location,
the light is green 80.9% of the time. At the second location, the
light is green 79.9% of the time. The probability a vehicle gets a
green light at the first location and the second location is
71.4%. What is the **probability** that
the light will be green at the second location if the light was
green at first location? (3 decimal places)

3.Previous studies have found 30% of all people prefer Coke to
all other cola drinks. A random sample of 16 people is selected.
What is the **probability** exactly three people in
this sample prefer Coke? (3 decimal places)

4.

To ascertain the effectiveness of a new, quicker, and simpler test for identifying diabetes, a study was undertaken involving 739 participants. With this test, a positive result indicates the presence of diabetes. A negative result indicates the absence of diabetes. Data collected to assess the effectiveness of this new test revealed:

- 201 of the participants confirmed they actually had diabetes, with the other participants confirming they actually did not have diabetes.
- 124 participants actually had diabetes and produced a negative test result.
- 255 participants produced a negative test result.

A participant from the study is chosen at random. What is the
**probability** they do actually have diabetes given
the test result is positive? (3 decimal places)

5.The probability that tomorrow will be a rainy day is 0.52. The
probability tomorrow will be a windy day is 0.2. The probability
that it will rain and be windy tomorrow is 0.07. What is the
**probability** it will be windy or rainy or both
tomorrow? (2 decimal places)

.

Answer #1

1)

A = the number observed is at most 2

B = the number observed is an even number

p(A) = 2/6 = 1/3

P(B) = 3/6 = 1/2

P(A') = 1- 1/3

**= 2/3 = 0.667**

NOW, P (A AND B) = 1/6

P(A or B) = P(A)+P(B)-P(A AND B)

= 1/3+1/2-1/6

**= 0.667**

........

2)

A= light green at 1 location

B =light green at 2nd location

P(A) = 0.809

P(B) = 0.799

P(A AND B) = 0.714

P(light will be green at the second location if the light was green at first location)

P(B|A) =

= 0.714 / 0.809

**= 0.883**

**...................**

**3)**

**Sample size , n = 16
p = 0.3**

**P ( X = 3) = C (16,3) * 0.3^3 * ( 1 - 0.3)^13
= 0.146**

**..........**

Please revert back in case of any doubt.

Please upvote. Thanks in advance.

1.A fair die is rolled once, and the number score is noted.
Let the random variable X be twice this score. Define the variable
Y to be zero if an odd number appears and X otherwise. By finding
the probability mass function in each case, find the expectation of
the following random variables:
Please answer to 3 decimal places.
Part a)X
Part b)Y
Part c)X+Y
Part d)XY
——-
2.To examine the effectiveness of its four annual advertising
promotions, a mail...

1. The number of hot dogs sold per game at one concession stand
at a baseball park is normally distributed with μ = 23,750 and σ =
108. You select 16 games at random, and the mean number of hot dogs
sold, top enclose x, is denoted. Find the probability that the mean
number of hot dogs sold for a random sample of 16 games will be
less than 23,700 hotdogs. Round your answers to four decimal
places.
2. The...

Plagiarism Certification Tests for Undergraduate College
Students and Advanced High School Students
These tests are intended for undergraduate students in
college or those under 18 years of age.
Read these directions carefully!
The below test includes 10 questions, randomly selected from a
large inventory. Most questions will be different each time you
take the test,
You must answer at least 9 out of 10 questions correctly to
receive your Certificate.
You have 40 minutes to complete each test, and you...

Please answer the following Case
analysis questions
1-How is New Balance performing compared to its primary rivals?
How will the acquisition of Reebok by Adidas impact the structure
of the athletic shoe industry? Is this likely to be favorable or
unfavorable for New Balance?
2- What issues does New Balance management need to address?
3-What recommendations would you make to New Balance Management?
What does New Balance need to do to continue to be successful?
Should management continue to invest...

Please read the article and answear about
questions.
Determining the Value of the Business
After you have completed a thorough and exacting investigation,
you need to analyze all the infor- mation you have gathered. This
is the time to consult with your business, financial, and legal
advis- ers to arrive at an estimate of the value of the business.
Outside advisers are impartial and are more likely to see the bad
things about the business than are you. You should...

Delta airlines case study
Global strategy. Describe the current global
strategy and provide evidence about how the firms resources
incompetencies support the given pressures regarding costs and
local responsiveness. Describe entry modes have they usually used,
and whether they are appropriate for the given strategy. Any key
issues in their global strategy?
casestudy:
Atlanta, June 17, 2014. Sea of Delta employees and their
families swarmed between food trucks, amusement park booths, and
entertainment venues that were scattered throughout what would...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 19 minutes ago

asked 33 minutes ago

asked 43 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago