Le Rafflee Tourism conducted a survey to know about the customer sentiment towards their service. The following table shows a random sample of 2000 customers aged between 20 to 39 years and their sentiment towards the service. Age of customers 25-29 years Sentiment 20-24 years 30-34 years 35-39 years Not satisfied at all 108 312 178 454 Satisfied 296 172 274 54 Very satisfied 66 30 44 12 (a) Construct a joint and marginal probability distribution table for sentiments and age of customers. (b) What is the probability that a randomly selected person is not satisfied given that the 20 2. ug old?

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Le Rafflee Tourism conducted a survey to know about the customer sentiment towards their
service. The following table shows a random sample of 2000 customers aged between 20 to
39 years and their sentiment towards the service.
Q1.
Age of customers
25-29 years
Sentiment
20-24 years
30-34 years
35-39 years
Not satisfied at all
108
312
178
454
Satisfied
296
172
274
54
Very satisfied
66
30
44
12
(a) Construct a joint and marginal probability distribution table for sentiments and age of
customers.
(b) What is the probability that a randomly selected person is not satisfied given that the
person is between 20-24 years old?
(c) What is the probability that a randomly selected person is between 35-39 years or
satisfied?
(d) If an oracle tell you that the most recent sentiment is not satisfied at all, then what is the
probability that the customer is 20-24 years old?
Let x be the number of potential weapons detected by a metal detector at an airport on a given
day. The following table lists the probability distribution of x.
Q2.
1
2
3
4
P(x)
0.14
0.28
0.24
0.19
0.15
(a) Calculate the mean and standard deviation for this probability distribution
(b) Verify that P(x) is a probability distribution function and calculate P(x <1 or x > 3)
Transcribed Image Text:Le Rafflee Tourism conducted a survey to know about the customer sentiment towards their service. The following table shows a random sample of 2000 customers aged between 20 to 39 years and their sentiment towards the service. Q1. Age of customers 25-29 years Sentiment 20-24 years 30-34 years 35-39 years Not satisfied at all 108 312 178 454 Satisfied 296 172 274 54 Very satisfied 66 30 44 12 (a) Construct a joint and marginal probability distribution table for sentiments and age of customers. (b) What is the probability that a randomly selected person is not satisfied given that the person is between 20-24 years old? (c) What is the probability that a randomly selected person is between 35-39 years or satisfied? (d) If an oracle tell you that the most recent sentiment is not satisfied at all, then what is the probability that the customer is 20-24 years old? Let x be the number of potential weapons detected by a metal detector at an airport on a given day. The following table lists the probability distribution of x. Q2. 1 2 3 4 P(x) 0.14 0.28 0.24 0.19 0.15 (a) Calculate the mean and standard deviation for this probability distribution (b) Verify that P(x) is a probability distribution function and calculate P(x <1 or x > 3)
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