Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:
P(X) = ![\left[\begin{array}{ccc}n\\X\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5CX%5Cend%7Barray%7D%5Cright%5D)
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P(20) = ![\left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D53%5C%5C20%5Cend%7Barray%7D%5Cright%5D%20.%280.3%29%5E%7B20%7D.%281-0.3%29%5E%7B33%7D)
P(20) = 
P(20) = 0.0552
To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:
n . p = 53*0.3 = 15.9
n.(1-p) = 53(1-0.3) = 37.1
Since both ARE greater than 5, normal distribution can be used.
To approximate:
mean = n . p = 15.9
standard deviation = 
= 3.34
Find the z-score:
z = 
= 
z-score = 0.8907
Comparing values:
0.8907 - 0.0552 = 0.8355
The amount for the given data is found as,
.The given expression is true.
<h3>What is the amount?</h3>
The complete repayment of money at the end of the period for which it was borrowed is referred to as the amount.
The given data in the problem is;
P is the annual payment=2827
r is the rate of interest = 3.9%
n is the time period=12
The formula for the amount is found as;
Substitute the given value;
Hence the given expression is true.
To learn more about the amount, refer to the link: brainly.com/question/12184047.
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Answer:
5
Step-by-step explanation:
Que esta un dos tres cuatro cinco seis siete
