Please help me answer these two activities

(1).

SUBJECT: STATISTICS AND PROBABILITY

LESSON: MEAN AND VARIANCE OF A DISCRETE PROBABILITY DISTRIBUTION

ACTIVITY:

1. What is the area of the normal curve from 1 standard deviation to 2 standard deviation? a. 11.39% b. 13.09% c. 13.59% d. 14.09% 2. Which of the following is the area of the normal curve to the right of 2 standard deviation? a. 2.18% b. 2.28% c. 2.38% d. 2.48% For Items 3-5, refer to the following table. The following are the number of cars sold per day at ABC Motor Corporation during the past 500 working days. Number of Cars Sold Per Day (x) Frequency of Occurrence 0 40 100 2 142 3 66 4 36 5 30 6 26 7 20 16 14 10 8 11 2 Total 500 3. What is the expected number of cars that will be sold at a given day? a. 1 b. 2 C. 3 d. 4 4. What is the standard deviation of the number of cars that will be sold at a given day? a. 2.46 b. 2.47 C. 2.48 d. 2.49 5, Which of the following is the correct interpretation of the computed variance? a. The highest number of cars that will be sold in a day is 3. b. The lowest number of cars that will be sold at a given day is 1 and the highest number is 6. C. The lowest number of cars that will be sold at a given day is 6 and the highest number is 9 d. The lowest number of cars that will be sold at a given day is 3 and the highest number is 9.1. What is the proportion of the area to the left of z = -1.2? a. .1051 b. .1151 c. .1251 d. .1351 2. Find the proportion of the area between z = 1 and z = 2. 8. 11.59% b. 12.59% c. 13.59% d. 14.49% 3. In a medical mission held in Romblon capitol, the distribution of cholesterol readings, in mg/dl is normally distributed with a mean of 210 and a standard deviation of 12. What is the raw reading If the z value is 2.5? a. 210 b. 220 c. 230 d. 240 4. If the mean is 60 and the standard deviation is 8, what is the corresponding z score of the raw score is 72? a. 1.5 b. 2.5 c. 3.5 d. 4.5 5. The Intelligence Quotient (IQ) scores for people are normally distributed with a mean of 100 and a standard deviation of 16. If Juan was randomly selected to take the test, what is the probability that her score is between 100 and 120? a. .3994 b. .3995 c. .3996 d. .3997