University:
University of Houston
Course:
MATH 1313 | Linear Algebra
Academic year:

2022
Views:

80

Pages:

11
Author:

Raiden Hutchinson

16 - total choosing 7 --> sample space = 16 C 7 --> 3 do not function 13 do function i) P (all 7 function) = 13 C 7 / 16 C 7 <-- 0 defective ii) P (2 defective) = 3 C 2 * 13 C 5 / 16 C 7 iii) P (at least one defective) = 1 - P(0 defect) 1, 2, 3 answer to part i Complement of 0 defectives Bottom Section: 3 T/F -> definitions, concepts -> 8 pts 4 MC -> like PT 3 FIR -> like PT or Review Sheet -> 14 or 16 50 minutes for free response round and at least to hundredths place Question 8 Given the following sampling distribution: X P(X) -20 0.05 0 0.10 15 0.85 (i) Find P(X > 20) = 0 (ii) Find P(X > -13) = 1 - P(X = -20) = 1 - 0.05 = 0.95 Answer Choices: (a) 0.85, 0.87 (b) 0.95, 0.84 (c) 0.85, 0.95 (d) 0.84, 0.86 (e) None of the above Question 13 How many passes can the quarterback expect to throw before he completes a pass? (Round to nearest whole number) E[X] or mean = 1/p = 1/0.6 = 1.67 ≈ 2 Answer Choices: (a) 1 (b) 2 (c) 3 (d) 6 (e) None of these Question 14 Determine the probability that it takes more than 3 attempts before he completes a pass. P(X > 3) = 1 - P(X ≤ 3) = 1 - geometcdf(0.6, 3) = 0.064 Answer Choices: (a) 0.0384 (b) 0.096 (c) 0.064 (d) 0.0256 (e) None of these Question 15 What is the probability that he attempts 4 or fewer passes before he completes one? P(X ≤ 4) = geometcdf(0.6, 4) = 0.9744 Answer Choices: (a) 0.0256 (b) 0.9898 (c) 0.9744 (d) 0.0102 (e) None of these Question 31 A psychologist interested in right-handedness versus left-handedness and in IQ scores collected the following data from a random sample of 2000 high school students. Right-handed Left-handed Total High IQ 190 10 200 Normal IQ 1710 180 1890 Total 1900 190 2000 P(L) = 100/2000 = 0.05 a. What is the probability that a student from this group has a high IQ? P(H) = 200/2000 = 0.1 b. What is the probability that a student has a high IQ given that she is left-handed? P(H|L) = 10/100 = 0.1 c. Are high IQ and left-handed independent? Why or why not? P(H) * P(L) = (0.1) * (0.05) = 0.005 P(H and L) = 10/2000 = 0.005 Therefore, high IQ and left-handedness are independent because P(H and L) = P(H) * P(L).