Y+6=3(x+1) standard form
1 answer:
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Given mean = 0 C and standard deviation = 1.00
To find probability that a random selected thermometer read less than 0.53, we need to find z-value corresponding to 0.53 first.
z=
So, P(x<0.53) = P(z<0.53) = 0.701944
Similarly P(x>-1.11)=P(z>-1.11) = 1-P(z<-1.11) = 0.8665
For finding probability for in between values, we have to subtract smaller one from larger one.
P(1.00<x<2.25) = P(1.00<z<2.25) = P(z<2.25)- P(z<1.00) = 0.9878 - 0.8413 = 0.1465
P(x>1.71) = P(z>1.71) = 1-P(z<1.71) = 1-0.9564 = 0.0436
P(x<-0.23 or x>0.23) = P(z<-0.23 or z>0.23) =P(z<-0.23)+P(z>0.23) = 0.409+0.409 = 0.918
Answer:
The correct answer is "$159 and $175".
Step-by-step explanation:
The give values are:
Mean,
= $167
Standard deviation,
= $40
Number of commuters,
n = 100
Now,
⇒
On putting the given values, we get
⇒
⇒
⇒
By using the 2 SE rule of thumb, we get
=
=
= ($)
Or,
=
=
= ($)
i.e,
$159 and $175