ALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to understand their expectations from hotels in the year 2018-191. This poll showed that 40% of guests were interested in gaining experiences of local cuisine tastings/tours. Suppose you take a random sample of 10 hotel guests. Let, x, represent the number of guests interested in gaining experiences of local cuisine tastings/tours. Find the mean and standard deviation of x. What is the probability that x <=5? Find the probability that x > 7.

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ALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to understand their expectations from hotels in the year 2018-191. This poll showed that 40% of guests were interested in gaining experiences of local cuisine tastings/tours. Suppose you take a random sample of 10 hotel guests.

Let, x, represent the number of guests interested in gaining experiences of local cuisine tastings/tours.

  1. Find the mean and standard deviation of x.
  2. What is the probability that x <=5?
  3. Find the probability that x > 7.
Binomial Distribution Calculation
Number of trails
n
4
Number of successes
4
Probabilility of success in a single trial
0.66
Probability of failure
0.34
Probability
0.190
Мean
2.64
Variance
0.90
Standard Deviation
0.95
Transcribed Image Text:Binomial Distribution Calculation Number of trails n 4 Number of successes 4 Probabilility of success in a single trial 0.66 Probability of failure 0.34 Probability 0.190 Мean 2.64 Variance 0.90 Standard Deviation 0.95
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Solution:

Let X be the number of guests interested in gaining experiences of local cuisine tastings/ tours and n be the sample number of hotel guests.

From the given information, probability that a guest interested in gaining experience of local cuisine tasting/tours is 0.40 and n=10.

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