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Unformatted text preview: Questions from weeks 1 and 2 1. (a) Given the following probability distribution: X P(X) 1 0.05 3 0.1 5 0.2 7 0.25 9 0.2 11 0.0 13 0.1 15 0.06 17 0.04 i. Calculate the expected value. ii. Compute the standard deviation. (b) The probability that a student is accepted to a prestigious college is 0.35. If 10 students from the same school apply: i. What is the probability that at most 4 are accepted? ii. What is the probability that 3 or less students are accepted? iii. What is the probability that all 10 students are accepted? (c) If the expected mean number of injuries to a team during a game is 3 (and the results follow a Poisson Distribution) i. What is the probability of 2 people being hurt during a game? ii. What is the probability of there being less than 2 injuries in a game? iii. What is the probability of there being more than 4 injuries during a game? (d) At the Gracemere Saleyards, 1200 animals were sold in one day. Records show that the distribution of the weights of the animals follows a normal distribution with the average weight of the animals being 635 kg and with a standard deviation of 25 kg. i. What percentage of the beasts weighed 610 kg or more? ii. The “ideal” weight for this class of animal is between 615 kg and 650 kg. How many animals would be considered to be of `ideal' weight? iii. How many animals weighed more than 670kg? Questions from weeks 4,5 (a) A new formulation of an age reducing face cream has been introduced to the market. Initial reports on a sample of 200 people show that the average perceived reduction in age is 9.9 years with a standard deviation of 1.2 years. The long term average reduction (in age) for the original formulation was measured at 9.5 years. Using the 0.05 level of significance, determine if there has been a change in the mean age reduction. (b) The waiting time to reach the counter at a certain branch of a bank during the lunch hour has had a population mean of 7.0 minutes, with a population standard deviation of 2.4 has had a population mean of 7....
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This note was uploaded on 10/09/2010 for the course MATH MATH21001 taught by Professor Pattabhi during the Spring '10 term at University of Houston.
 Spring '10
 Pattabhi
 Standard Deviation

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