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October 22, 2025, 01:42:38 am
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Author Topic: stats questions!  (Read 2000 times)  Share 

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yabbaboo

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stats questions!
« on: May 19, 2013, 03:15:42 pm »
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Hi,
I need help with this question!
This question is:
The number of days per year on which the temperature in Moorabbin falls below zero (call
this number X) has the following distribution:
x P(X=x)
0 0.1
1 0.15
2 0.6
3 0.1
4 0.05
a) Calculate the mean and variance of X
b) Calculate the mean and variance of the total number of days in 100 years on which
the temperature falls below zero.
c) State the approximate distribution for the total number of days in 100 years on which
the temperature falls below zero. On what theoretical basis can this approximation
be made?
d) In a 100 year period what are the approximate probabilities there will be
i. more than 230 days on which temperature falls below zero.
ii. between 200 and 230 such days.

I am stuck on part c). Is it referring to the probability distribution? Or normal distribution?
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