1. For each case involving the areas under the standard normal curve, decide whether the first or second area is bigger or the two areas are equal: a) The area between z=0 and z=1.3 or the area between z=0 and z=1 b) The area between z=-0.2 and z=0.2 or the area between z=-0.4 and z=0.4 2. Find the standard normal curve area that lies a) To the right of z=-0.27 b) To the left of z=1.30 c) To the right of z= 0.48 3. Find the standard normal curve area that lies between z= -0.77 and z=0.77 4. Find z if the standard normal curve area a) Between 0 and z is 0.4788 b) To the left of z is 0.8365 c) Between -z and z is 0.8584 d) To the left of z is 0.3409 5. A normal distribution has the mean =62.4. Find the standard deviation if 20% of the area under the curve lies to the right of 79.2 6. The time it takes to assemble a bookcase is a random variable with a normal distribution with =17.4 minutes and =2.20 minutes. What is the probability that the bookcase can be assembled by a person in a) 19 minutes? b) Between 12 to 15 minutes? 7. The lengths of full grown scorpions follow a normal distribution with a mean of 1.96 inches and a standard deviation of 0.08 inches. a) What percentage of the scorpions will be at least 2 inches long? b) What value would one find the longest 5% of these scorpions? 8. Records show that 80% of the customers at a restaurant pay with a credit card. Use the normal approximation to the binomial to find the probability that at least 170 out of 200 customers of the restaurant will pay by credit card. 9. Studies have shown that 22% of all patients taking a certain antibiotic will get a headache. Use the normal approximation to the binomial to find the probability that among 50 patients taking the antibiotic: a) At least 10 will get a headache b) At most 15 will get a headache

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