Apps. and Interpretation for IBDP Maths Ebook 2 | Page 352

Your Practice Set – Applications and Interpretation for IBDP Mathematics
61.4
( a )
�0.9
0.07� T � �
� �0.1
0.93�
( b )
83
�1 � , �2 �
1
100
� 1 � � 1 �
( c ) v
1
� � � , v
2
� � �
10 ��1� �
� � 7 �
( d ) ( i )
( e )
( ii )
� 1 1 � � �
10
��1 �
� 7 �
n
��
83 � �
��
� 0� ��100
� � � 0 1� � �
n n � 10 � 83 � 7 7 � 83 � 7
� � � � � � � � �
� � 17 �100 � 17 17 �100 � 17
�
� n n
� 10 � 83 � 10 7 � 83 �
10 �� � � � � �
� 17 100 17 17 100
17
� � � � � �
�
( f )
n � 16 � 83 � 7
� � � � �
� � 85 �100 � 17
�
� n
� 16 � 83 �
10
�� � �
� 85 100
17
� � � �
�
( g )
0.988
( h )
( i )
7
17
( ii )
10
17
Chapter 14
Exercise 62
62.1 ( a ) P ( X �2 ) � 0.493 ( b ) P ( Y �10 ) � 0.125 ( c ) P ( Y � 6 | Y � 9 ) � 0.193
62.2 ( a ) P ( X �10 ) � 0.731 ( b ) P ( Y �33 ) � 0.217 ( c ) P ( Y � 43 | Y � 40 ) � 0.111
62.3 ( a ) P ( X �2 ) � 0.815 ( b ) P ( Y �28 ) � 0.923 ( c )
7 P ( X �4 ) � 0.206
62.4 ( a ) P ( X �7 ) � 0.401
( b )
P (
X0 �2 ) �
0.744
( c )
P ( X � 5 ) P ( Y � 5 ) �
0.0205
Exercise 63
63.1 ( a ) b � 4 ( b ) ( i ) P ( X �2 ) � 0.147
( ii ) 4 63.2 ( a ) c � 9
( b ) ( i ) P ( X �4 ) � 0.0550
( ii )
3
63.3
( a )
� �
15
( b )
P ( Y �3 ) �
0.170
63.4
( a )
� �
0.0100
( b )
P ( Y �2 ) �
0.120
Chapter 15
Exercise 64
64.1 ( a ) E ( 1�10 X ) � � 214 ( b ) Var ( 5�2 X ) � 12 ( c ) E ( 5� 4X �3 Y) � 151
64.2 ( a ) E ( X ) � 8 ( b ) Var ( X ) � 1 ( c ) E ( �X �Y) � � 28 64.3 ( a ) E ( 100 �X
) � 105
( b ) Var ( 99 �5 X ) � 400 ( c ) Var ( 6X
�5 Y) � 776
64.4 ( a ) E ( X ) �� 3 ( b ) Var ( X ) � 3 ( c ) Var ( 10Y�3 X) � 477
342
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