Lab Activity - Ch 6 Normal Distribution Problems Please show all your work and calculations on paper to get full credits 1. The time it takes to find a parking space at 9am follows a normal distribution with a mean of 5 minutes and standard deviation 2 minutes. a) What is the probability of finding a parking space in under 3 minutes? Draw, label, and shade a bell curve to depict this probability. b) What is the probability of finding a parking space in between 3 and 7 minutes? Draw, label, and shade a bell curve to depict this probability. c) What is the probability that it takes over 1 minute to find a parking space? Draw, label, and shade a bell curve to depict this probability. d) Find the 75th percentile of minutes to find a parking space. (This means that 75% of parking spaces are found in less than this number of minutes.) Draw, label, and shade a bell curve to depict this number of minutes. 2. A certain $1.00 scratcher lotto ticket will be a winner one out of five times. A shipment of 2000 tickets arrives at a convenience store. a) What is the expected number of winners from the shipment? b) What is the standard deviation? Round to 1 decimal place. (Use the binomial formula for standard deviation.) c) What is the probability there are over 425 winning tickets in the shipment? Draw, label, and shade a bell curve to depict this probability. 3. IQ scores are normally distributed with a mean of 100 and standard deviation 15. a) MENSA is an organization whose members IQ scores must be in the top 2%. What minimum IQ score is needed to qualify? Draw, label, and shade a bell curve to depict this IQ score. b) Find the middle 20% of the population IQ scores. Draw, label, and shade a bell curve to depict these IQ scores.