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June 2022 Examination
Question
1. Three airlines serve a
Srinagar. Airline ‘Amira’ has 50% of all the scheduled flights, airline ‘Biyas’
has 30%, and airline ‘chinar’ has the remaining 20%. Their on-time rates are
80%, 65%, and 40%, respectively.
Part 1). Draw the
Probability tree diagram. (Note: You may use any software for this, like
MS paint, MS office, etc.)
Part 2). A plane has just
left on time. What is the probability that it was airline ‘Amira’? (10 Marks)
ANS.
Introduction
The tree diagram represents a probability space utilized in
chance theory. A chain of separate activities, or conditional chances, make up
the probability tree diagram. When conditional probability is used, unbiased
occurrences can be something from a series of coin flips to drawing a card from
a deck without it being replaced. Every node on the probability tree diagram
aids in reflecting an event. This is linked
Question
2. Rashmi Dhar,
manufacturer, and seller
of ‘Kashmiri- kahwa’
through E-commers websites. She
wanted to know the effect of her spending in advertisement of ‘Kahwa’ on the
sales, along with the other factors; ‘number of sales representatives’,
‘customer-satisfaction ratings’. For this research she has gathered the sales
data in the following table, along with other necessary information.
Part 1) Define dependent and
independent variables
Part 2) Write regression
model equation only.
Part 3) Run regression
analysis in EXCEL (copy all those tables from EXCEL and paste them in your
document).
Part 4) Write the
Interpretation of Regression statistics-table, ANOVA- table.
Write an interpretation (by
referring P-value/ t-stat) on significant effect of independent variables on
sales.
Region/ Districts |
Sales
of Kahwa (in INR) |
Spending
in advertise (in INR) |
number of sales representatives (person) |
customer-satisfaction ratings (1=highly dissatisfied to 5
= highly satisfied |
Kupwara |
55328 |
5512 |
1 |
1 |
Badgam |
56251 |
8337 |
1 |
1 |
Leh-ladakh |
57126 |
8788 |
4 |
1 |
Kargil |
58739 |
8828 |
5 |
1 |
Districts |
Sales
of Kahwa (in INR) |
Spending
in advertise
(in INR) |
number of sales representatives (person) |
customer-satisfaction ratings (1=highly dissatisfied to 5
= highly satisfied |
Punch |
66984 |
9050 |
5 |
2 |
Rajouri |
70676 |
10150 |
7 |
2 |
Kathua |
73206 |
11236 |
8 |
2 |
Baramula |
80571 |
12538 |
8 |
3 |
Bandipore |
93168 |
13161 |
8 |
3 |
Srinagar |
99432 |
13448 |
9 |
4 |
(10
Marks)
ANS.
Introduction
Variables are crucial in determining the features of various
values, which might aid the researcher in achieving definitive results. Values
inclusive of top, temperature, and so forth can be used as variables.
Researchers were located manipulating the based and independent variables so
that you can establish correlations between or extra components of an
observation. While talking approximately a based variable, it's common to refer
to it because of the supply of trouble. The study's different variables, in
large part, decide the importance of this type of
3a. According to
one survey in India, 75% of Instagram users love REELS. Suppose that 25
Instagram users (randomly selected) have been approached in the university
located in vile parle. They have been asked about their status of like/ dislike
the Instagram- REELS.
a) What is the
probability that Exactly 15 of them would agree with the claim (or said they
love Insta-REELS)?
b) What is the
probability that Exactly 20 of them would agree with the claim (or said they
love Insta-REELS)? (5 Marks)
ANS.
Introduction
Reels have enabled users to put up video segments of roughly
15 seconds in the application. Along with reels, Instagram offers functions
like memories and IGTV that have piqued humans’ interest. From the standpoint
of a person, such features may be exploited to boom one’s
3b. ‘Bhartdarshan’ is an
Internet-based travel agency wherein customers can see videos of the cities
they plan to visit. The number of hits daily is a normally distributed random
variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability
of getting more than 12,000 hits?
b. What is the probability
of getting fewer than 9,000 hits? (5
Marks)
ANS.
Introduction
Unprecedented steps were made to strengthen the
infrastructure of hospitality due to the latest advances in technology and era.
The hospitality business has grown to be one of the most critical industries in
the international, propelling economies to new heights. Bharatdarshan presents
its
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