Answer:
c) Is not a property (hence (d) is not either)
Step-by-step explanation:
Remember that the chi square distribution with k degrees of freedom has this formula
Where N₁ , N₂m .... 
are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.
Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true
The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.
5.
First plug the value of x into the equation
then solve for y
6. Do the same steps
Answer: you just sech in google what is bla bla bla (don't do that ) XD
Step-by-step explanation:
Answer:
29, 19, 11, 77, 37, 23. I made prime number from given digit.
I hope you got it .
Answer:
The amount of interest earned after a year is $32.25
Step-by-step explanation:
In this question, we are asked to calculate the amount of interest generated by depositing a sum into an account.
To calculate the interest earned, we use the simple interest formula.
Mathematically;
I = PRT/100
where I is the interest earned
R is the rate which is 6.25% according to the question
T is the time taken which is 1 year
P is the amount of money deposited also know. as the principal which is $516
Plugging these values we have
I = (516 * 6.25 * 1)/100 = $32.25
