Question

10. Two fair dice are rolled and the sum of the numbers on their faces is observed. Find the probability that the sum is: a. Less that 2 b. Greater than 9 c. 7 d. Less than 5 11. Probability Experiments are described below. Describe the sample space for each of the following. 1. Tossing a coin. 2. Guessing the last digit of a telephone number. 3. Tossing two coins. 4. Tossing 3 coins. 5. Tossing a coin and then rolling a six-sided die. 6. Gender of children in a family that has 3 children ( use M-Male and F-Female). 7. Rolling 2 dice. 8. A deck of cards 12. A nationwide professional qualifying exam has a mean score of 600 with a standard deviation of 50. A random sample of 100 examinees was selected. The sample mean is 630. Determine the standardized value or z-score of the sample mean in this instance. 13 Which of the following is the highest level of measure? Lowest level of measure? Ratio, nominal, ordinal, interval 14. Categorize the following data according to level: nominal, ordinal, interval, or ratio. (a) Time of first class. (b) Length of time to complete an exam. (c) Course evaluation scale: poor, acceptable, good. (d) The length of time it takes for someone to run a marathon. (e) The time of day the marathon starts. (f) The name of the city in which the marathon is run. 15. To estimate the average GPA of all La Sierra Students, President Wisbey computed the average GPA obtained in his Advanced Christian Theology class. (a) Identify the variable? (b) What is the population? (c) What is the sample? (d) What type of sample was this? 16. What is the probability that something will always happen? Will never happen? 17. Which of the following represent a quantitative variable (choose all that apply): a) The time it takes to complete this test b) The types of cars in the parking lot c) The dormitory that a student lives in d) Number of students in a statistics class 18. How many outfits can be derived from 9 shirts and 4 pairs of pants?

can someone help? I have my answers just want double check. thanks

Answer 1

10. Sample pace of rolling two die is given below C1,0 (1,2) (1,3) (1,4) (1,5) (1,6) (2,1 (3,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,27 (3,3) (3,4) (3,5) (3,6) (4.0) (4.2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (516) (6,0 (6,2) (6,30 (6,4) (6,5) (6,6)

let X denote the sum of numbers on the faces of two fair dice. u summolhado como probability of getting x X baces of two P(X) 136 2/36 3/36 4136 5/36 6/36 5/36 4/36 3/36 2/36 1/36

(a) less than 2 P[x e2] = 0 b) Greater than a P(x >9] = P(x=10,11,12] = P(x=10]+P[x=11]+P[x=12] = 36+ 36 + 36 = G = = 1 = 0.167 e) 7 'P(x=7] = G = 1/2 = 0.167 z d) Less than 5 Plx <5] = P(x=2,3,4) =P(x=2] + P(x=3] +P(x=4] = 36 +367 36 = = = = 0.167.
10.

a.Less than 2

The probability that the sum is less than 2 is 0. Since less than 2 is not possible as the least numbers appearing on the die is 1. The least possible sum faces of die is 2.

b. Greater than 9

The probability that the sum is greater than 9 is 0.167.

c. 7

The probability that the sum is 7 is 0.167.

d. Less than 5

The probability that the sum is less than 5 is 0.167.