Question: 1. Explain the difference between population parameters and sample statistics. What symbols do we use for the mean and standard deviation for each of these?

1. Explain the difference between population parameters and sample statistics. What symbols do we use for the mean and standard deviation for each of these? 2. Consider the following probability distribution function of the random variable X which represents the number of people in a group(party) at a restaurant: X P00 m .05 a. Find the population mean of X. b. Find the population variance and standard deviation of X. c. Find the probability that the next party will be over 4 people. d. Find the probability that the next three parties (assuming independence) will each be over 4 people. 3. 10% of all children at large urban elementary school district have been diagnosed with learning disabilities. 10 children are randomly and independently selected from this school district. a. Let X = the number of children with learning disabilities in the sample. What type of random variable is this? b. Find the mean and standard deviation of X. c. Find the probability that exactly 2 of these selected children have a learning disability. d. Find the probability that at least 1 of these children has a learning disability

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