AD Nelson Interactive survey for Sri Sintoque Continental Hotels, Resorts & Spa asked respondents, “When traveling internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?”. The survey found that 28% of the respondents stick with their tour group. In a sample of six international travellers,   what is the probability that two will stick with their tour group?             ii what is the probability that at least two will not stick with their tour group? Interpret the value obtained.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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QUESTION 4

A ) AD Nelson Interactive survey for Sri Sintoque Continental Hotels, Resorts & Spa asked respondents, “When traveling internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?”. The survey found that 28% of the respondents stick with their tour group. In a sample of six international travellers,

 

  1. what is the probability that two will stick with their tour group?

           

ii what is the probability that at least two will not stick with their tour group? Interpret the value obtained.

b ) Based on Aircraft Safety Council of Country PQR, an average of 18 aircraft accidents occurred each year

  1. Compute the mean and standard deviation of the number of aircraft accidents per month.
  2. Compute the probability of no aircraft accident in a month.

           

  1. Compute the probability of fewer than three aircraft accidents in two months.
  • The weight, X grams of soup filled in a tin by machine RST is normally distributed with a mean of 190 grams and a standard deviation of 21 grams.
  1. Find the probability that a randomly selected tin contains more than 197 grams.

 

  1. Find the probability that a randomly selected tin will have a weight between 205 grams and 245 grams.
  2. If 125 tins are selected at random, how many tins will have a weight between 205 grams and 245 grams?
  3. If the weight stated on a randomly selected tin is w gram, find the value of w such that P (X < w) = 0.01.

 

 

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