PYC 3704 Assignment 1 and 2 solutions 2021

Assignment 1 PYC 3704 2021
QUESTION 1 QUESTION 2

OPTION 2 OPTION 4

QUESTION 3 QUESTION 4

OPTION 3 OPTION 4

QUESTION 5 QUESTION 6

OPTION 3 OPTION 3

QUESTION 7 QUESTION 8

OPTION 2 OPTION 2

QUESTION 9 QUESTION 10

6
P ( ¿ )= =0.400 OPTION 2
15
OPTION 2

QUESTION 11 QUESTION 12

δ 50
= =10 p ( x )=1−0.53=0.47
√ n √25
OPTION 4 OPTION 4

QUESTION 13 QUESTION 14

1
P ( HH ) = =0.25 OPTION 2
4
OPTION 2

QUESTION 15

In order to answer this question and question 16 we need to calculate the probability of finding a
student with better marks. A high probability means many students did better than him.

Mathematics ( 56−42
P ( x>56 )=P z >
6 )
=P ( z >2.33 ) =0.01

54−54
P ( x>54 )=P ( z>
4 )
Science =P ( z> 0 )=0.5

6 2−50
P ( x> 62 )=P ( z >
8 )
Geo =P ( z >1.5 ) =0.067

, 56−42
History (
P ( x>56 )=P z >
6 )
=P ( z >2.33 ) =0.919

OPTION 1



QUESTION 16

56−42
History (
P ( x>56 )=P z >
6 )
=P ( z >2.33 ) =0.919=0.9



OPTION 4

QUESTION 17 QUESTION 18

OPTION 3 OPTION 1

QUESTION 19

P ( 25< x< 56 )=P ( 25−40
10
<z<
50−40
10 )
=P (−1.5< z <1 )=0.8413−0.0668=0.7745

OPTION 2

QUESTION 20

14−20
Z= =−0.75
6


OPTION 3

QUESTION 21

P ( z←0.75 )=0.2266
OPTION 1

QUESTION 22 QUESTION 23

OPTION 4 OPTION 2

QUESTION 24 QUESTION 25

OPTION 1 OPTION 4

QUESTION 26

OPTION 2