Calculate the amount of property tax Alice Brown owes on her home, which has an assessed value of $90,000. The tax rate in her c
2 answers:
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Answer:
The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of , in which
is mean amount of inches of rain and
is the standard deviation.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Mean , standard deviation
n days:
This means that
Applying the Central Limit Theorem to the z-score formula.
What is the probability that the mean daily precipitation will be of X inches or less for a random sample of November days?
The probability that the mean daily precipitation will be of X inches or less for a random sample of n November days is the p-value of , in which
is mean amount of inches of rain and
is the standard deviation.
Answer:
The total monthly mortgage payment for the house is $975.63
Step-by-step explanation:
The principle amount is $175000
80% of 175000 is = = $140000
20% of 175000 is = = $35000
Emi formula is :
For 1st part:
p = 140000
r = 4.75/12/100=0.00395
n =
Putting values in formula we get
= $729.508
For 2nd part:
p = 35000
r = 7.525/12/100=0.00627
n =
Putting values in formula we get
= $245.301
Adding both the monthly payments:
dollars
This is closest to option A.
So, option A is the answer.
And for 30 years the mortgage payment will be =
dollars