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MATH215 - Assignment 4 - 100%
Assignment 4 from BIOL 235 2018 at Athabasca University with a grade of 100%. What's an A worth to you? Get the A to raise or keep your GPA at 4.0.
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Assignment 4ATotal Marks = s
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Question 1
Grade point aYerages of math majors at a large distance education
uniYersity are normally distributed with a mean of µ =2.85 and a standard
de,iation of a-= 0.30 . If a random sample of 25 math majors is selected
from that university, what is the probability that the sample mean grade
point aYerage , ...;n be
6marks a. either less than 2.709 or more than 2.955?
3marks b . at least 2.757?
:\
C (T -
s IJ\:: 2 5 - -cr-
~-µ
r ( x < 2 101 ~ n : < - 2. s)
6 30
1r Tis-=
Ox -c : (),00~4
s o.Ob
f( x_> : .9S'j') : ?C z> l,75 )
~ I - 0.154"'
:: 0,()_;\0'
2. 7S7 - 2 is
~ C 215 D 0~
: - \.S5 r cK ~ 1.757) -= r c ~ -1. ss')
2
trx : oo~ = \ - o o60b
u : 0 ~o :: ( ~3~4
Y\· 25
- I ~5
Introduction to Statistics
1
, Question 2
Psychologists estimate that 80% of male drivers, when lost in trying to find
a location, continue to drive rather than asking for directions. If this
estimate is correct, what is the probability that, in a random sample of 100
lost male drivers, the proportion who continue to drive is
4 marks a. at least 0 .70?
3 marks b. less than 0 .85?
"') P" oia t : o 2.0 V'\ =100
: r1f ~ ..ro.~Q,1 :: Q. 04
),,, ~ -V~ U
X
!Oll
Q GO(,Z ~
" 0
'
P(~ > 0.10., p(z ?. O.7D - 0.t ): f (-z ?_ -2.S) -= \ - 0.1~31
0.04
Q 5p 0
0.0~
0
fC~ < o.\SJ : P(z< o_J50.0
0
- } J=P(.:: <1.1s = o.~i44
2
Mathematics 215 / Assignment 4A
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