A town has a population of 13000 and grows at 2.5% every year. What will be the population after 5 years, to the nearest whole n
2 answers:
Answer: The population of the town after 5 years will be 147089 (approx).
Step-by-step explanation:
The exponential growth equation is given by :-
...(*)
, where A = initial population , r= rate of growth ( in decimal) and x is time.
As per given , we have
A= 13000
r=2.5%=0.025
x= 5 years
Using (*), the population of the town after 5 years would be :
Hence, the population of the town after 5 years will be 147089 (approx).
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Answer:
(A) 0.15625
(B) 0.1875
(C) Can't be computed
Step-by-step explanation:
We are given that the amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 32 and 64 minutes.
Let X = Amount of time taken by student to complete a statistics quiz
So, X ~ U(32 , 64)
The PDF of uniform distribution is given by;
f(X) = , a < X < b where a = 32 and b = 64
The CDF of Uniform distribution is P(X <= x) =
(A) Probability that student requires more than 59 minutes to complete the quiz = P(X > 59)
P(X > 59) = 1 - P(X <= 59) = 1 - = 1 -
=
= 0.15625
(B) Probability that student completes the quiz in a time between 37 and 43 minutes = P(37 <= X <= 43) = P(X <= 43) - P(X < 37)
P(X <= 43) = =
= 0.34375
P(X < 37) = =
= 0.15625
P(37 <= X <= 43) = 0.34375 - 0.15625 = 0.1875
(C) Probability that student complete the quiz in exactly 44.74 minutes
= P(X = 44.74)
The above probability can't be computed because this is a continuous distribution and it can't give point wise probability.