Stats 2 week 1 important questions

More questions in this week

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1. Q4The joint pmf of two random variables X and Y is given by c|ccc X Y 0 1 2 , 0 0.3 0.05 0.0
2. Q5The joint pmf of two random variables X and Y is given by c|ccc X Y 0 1 2 , 0 0.3 0.05 0.0
3. Q6The joint pmf of two random variables X and Y is given by c|ccc X Y 0 1 2 , 0 0.3 0.05 0.0
4. Q7The joint pmf of two random variables X and Y is given by c|ccc X Y 0 1 2 , 0 0.3 0.05 0.0
5. Q8The joint pmf of X and Y is c|ccc X Y 0 1 2 , 0 0.3 0.05 0.05 , 1 0.25 ? 0.3 …
6. Q9The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.15 0.05 0.
7. Q10The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.15 0.05 0.
8. Q11The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.15 0.05 0.
9. Q12The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.15 0.05 0.
10. Q13The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.15 0.05 0.
11. Q14The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.15 0.05 0.
12. Q15The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.15 0.05 0.
13. Q16The joint pmf of X and Y is c|ccc X Y 1 2 3 , 1 0.15 0.05 0.1 , 2 0.05 0.15 0.1 , 3 0.0…
14. Q17The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 0 0.25 0.3 , 1 0.
15. Q18The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 0 0.25 0.3 , 1 0.
16. Q19The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 0 0.25 0.3 , 1 0.
17. Q20The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 0 0.25 0.3 , 1 0.
18. Q21The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 0 0.25 0.3 , 1 0.
19. Q22The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 0 0.25 0.3 , 1 0.
20. Q23The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 0 0.25 0.3 , 1 0.
21. Q24The joint pmf of X and Y is c|cc X Y 1 2 , 0 ? 0.3 , 1 0.35 0.1 Find the missing en…
22. Q25The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 1 0.2 0.05 , 2 0.
23. Q26The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 1 0.2 0.05 , 2 0.
24. Q27The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 1 0.2 0.05 , 2 0.
25. Q28The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 1 0.2 0.05 , 2 0.
26. Q29The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 1 0.2 0.05 , 2 0.
27. Q30The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 1 0.2 0.05 , 2 0.
28. Q31The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 1 0.2 0.05 , 2 0.
29. Q32The joint pmf of X and Y is c|cc X Y 0 1 , 1 0.2 0.05 , 2 ? 0.2 , 3 0.2 0.1 Fin…
30. Q33The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1
31. Q34The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1
32. Q35The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1
33. Q36The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1
34. Q37The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1
35. Q38The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1
36. Q39The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1
37. Q40The joint pmf of X and Y is c|ccc X Y 1 2 3 , 0 0.3 0.2 0.1 , 1 0.1 0.1 ? Fin…
38. Q41The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.05 0.2 0.0
39. Q42The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.05 0.2 0.0
40. Q43The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.05 0.2 0.0
41. Q44The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.05 0.2 0.0
42. Q45The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.05 0.2 0.0
43. Q46The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.05 0.2 0.0
44. Q47The joint pmf of two random variables X and Y is given by c|ccc X Y 1 2 3 , 1 0.05 0.2 0.0
45. Q48The joint pmf of X and Y is c|ccc X Y 1 2 3 , 1 0.05 0.2 0.05 , 2 0.1 0.05 ? , 3 0.2 …
46. Q49The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 0 0.55 0.1 , 1 0.
47. Q50The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 0 0.55 0.1 , 1 0.
48. Q51The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 0 0.55 0.1 , 1 0.
49. Q52The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 0 0.55 0.1 , 1 0.
50. Q53The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 0 0.55 0.1 , 1 0.
51. Q54The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 0 0.55 0.1 , 1 0.
52. Q55The joint pmf of two random variables X and Y is given by c|cc X Y 0 1 , 0 0.55 0.1 , 1 0.
53. Q56The joint pmf of X and Y is c|cc X Y 0 1 , 0 0.55 0.1 , 1 ? 0.1 Find the missing en…
54. Q57The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.
55. Q58The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.
56. Q59The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.
57. Q60The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.
58. Q61The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.
59. Q62The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.
60. Q63The joint pmf of two random variables X and Y is given by c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.
61. Q64The joint pmf of X and Y is c|cc X Y 1 2 , 1 0.1 0.35 , 2 0.05 0.2 , 3 ? 0.15 F…
62. Q65The joint pmf of X and Y is p(x,y)=c, ,(x+y) for x1,2 and y1,2,3, and 0 elsewhere. Find 1/
63. Q66The joint pmf of X and Y is p(x,y)=c, ,(x+y) for x1,2 and y1,2,3, and 0 elsewhere. Find P(
64. Q67The joint pmf of X and Y is p(x,y)=c, ,(x+y) for x1,2 and y1,2,3, and 0 elsewhere. Find P(
65. Q68The joint pmf of X and Y is p(x,y)=c, ,xy for x1,2 and y1,2,3, and 0 elsewhere. Find 1/c.
66. Q69The joint pmf of X and Y is p(x,y)=c, ,xy for x1,2 and y1,2,3, and 0 elsewhere. Find P(X=1
67. Q70The joint pmf of X and Y is p(x,y)=c, ,(x+2y+1) for x,y0,1,2, and 0 elsewhere. Find 1/c.
68. Q71The joint pmf of X and Y is p(x,y)=c, ,(x+2y+1) for x,y0,1,2, and 0 elsewhere. Find P(X=0)
69. Q72The joint pmf of X and Y is p(x,y)=c, ,(x+y) for x1,2 and y1,2,3, and 0 elsewhere. Find P(
70. Q73The joint pmf of X and Y is p(x,y)=c, ,xy for x1,2 and y1,2,3, and 0 elsewhere. Find P(X=2
71. Q74The joint pmf of X and Y is p(x,y)=c, ,(x+2y+1) for x,y0,1,2, and 0 elsewhere. Find P(X=1)
72. Q75Two fair dice are thrown. Let X and Y be the numbers on them. Find P(X+Y=5) (2 decimal pla
73. Q76Two fair dice are thrown. Let M=(X,Y) be the larger number. Find P(M=2) (2 decimal places)
74. Q77A fair coin is tossed 3 times. Let X be the total number of heads and Y the number of head
75. Q78Two fair dice are thrown. Let D=|X-Y|. Find P(D=2) (2 decimal places).
76. Q79Two fair dice are thrown. Find P(X+Y11) (2 decimal places).
77. Q80A bag has 4 red and 3 white balls. Two balls are drawn together at random. Let X be the nu
78. Q81Two fair dice are thrown. Let X and Y be the numbers on them. Find P(X+Y=8) (2 decimal pla
79. Q82Two fair dice are thrown. Let M=(X,Y) be the larger number. Find P(M=3) (2 decimal places)
80. Q83A fair coin is tossed 4 times. Let X be the total number of heads and Y the number of head
81. Q84Select all the true statements about joint distributions.
82. Q85Which of the following statements are true?
83. Q86Choose the correct statements.
84. Q87Select every true statement about a joint pmf.
85. Q88Which statements hold for two random variables X and Y?
86. Q89Mark all the correct statements.
87. Q90Which of the following is a valid joint pmf for X and Y (each takes the values 0 and 1)?
88. Q91Exactly one table below is a valid joint pmf for X and Y. Which one?
89. Q92Choose the table that can be the joint pmf of two random variables taking values 0 and 1.
90. Q93Which table gives a legitimate joint distribution of X and Y?
91. Q94The grid shows the 36 equally likely outcomes of throwing two fair dice. The shaded cells
92. Q95The grid shows the 36 equally likely outcomes of throwing two fair dice. The shaded cells
93. Q96The bar chart shows the marginal pmf of Y, which takes the values 1, 2, 3. Find P(Y2) (2 d
94. Q97Refer to the figure. The bar chart shows the marginal pmf of Y, which takes the values 1,
95. Q98Refer to the figure. The grid shows the 36 equally likely outcomes of throwing two fair di
96. Q99Look at the diagram given. The grid shows the 36 equally likely outcomes of throwing two f
97. Q100Look at the diagram given. The bar chart shows the marginal pmf of Y, which takes the valu