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An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
(a) What is the probability that Sam's first upgrade will occur after the third flight?
(b) What is the probability that Sam will be upgraded exactly 2 times in his next 20 flights?
(c) Sam will take 104 flights next year. Would you be surprised if Sam receives more than 20 upgrades to first class during the year?

To win a particular lottery game, a player chooses 4 numbers from 1 to 50. Each number can only be chosen once.
1. How many different number combinations are possible =
2. What is the probability that the chosen number is 2500=

What is the simplified form of the following expression assuming all variables are non-zero values? $\frac{(X\times <!--\; \times \; -->Y)}{X}\times <!--\; \times \; -->\frac{Z}{Y}=$

We need to determine whether the variable is qualitative or quantitative. The mpg a car gets while driving on the highway Is the variable qualitative or quantitative?

$\frac{6}{18}=\frac{x}{36}$

A(n) _______ distribution has a​ "bell" shape.
A) normal
B) outlier
C) relative frequency
D) polygon

For the data in the table, does y vary directly with x? Write an equation for the direct variation.
$$\begin{gathered} x:8,16,24 \\ y:11,22,33 \end{gathered}$$
a. yes; y = 2.75x
b. yes; y = 0.6875x
c. yes; y = 1.375x
d. no; y does not vary directly with x

Which statement best describes the domain and range of $f(x)=-<!--\; -\; -->(7{)}^X$ and $g(x)=7^X$ ?

Find the meaning of 'Sxx' and 'Sxy' in simple linear regression

Which of the following is not a measure of central tendency?
Mode
Standard deviation
Median
Mean

What does a cross product of 0 mean?

What are the advantages and disadvantages of standard deviation ?

How to find $xi$ in statistics?

Find the equation of the line perpendicular to ${\displaystyle y=-\frac{7}{16}x}$ that passes through (5,4)

$R=wp$ solve for p.

A variable whose scope is restricted to the method where it was declared is known as $a(n)$

When is graph G with n vertices is isomorphic to complement $\stackrel{¯<!--\; ¯\; -->}{G}$?
Question : When is graph G with n vertices is isomorphic to complement $\stackrel{¯<!--\; ¯\; -->}{G}$?
So, total no of edges that a n vertex graph can have is $(\genfrac{}{}{0ex}{}{n}{2})$. And if G is isomorphic to $\stackrel{¯<!--\; ¯\; -->}{G}$ then no of edges in G is equal to no of edges in $\stackrel{¯<!--\; ¯\; -->}{G}$. So no of edges in $(\genfrac{}{}{0ex}{}{n}{2})$ . But for this to be an integer, n = 4k or n = 4k+1 for some integer k.
My question is : Is this the only requirement? That is, is n=4k or 4k+1 the sufficient condition to construct such a graph G? Does it have anything to do with the fact that G and $\stackrel{¯<!--\; ¯\; -->}{G}$ can both be bipartite if both of them don't have any triangle in it? The question asks to think about what is the condition of G and $\stackrel{¯<!--\; ¯\; -->}{G}$ simultaneously bipartite.

In the least-squares regression line, the desired sum of the errors (residuals) should be
a) zero
b) positive
c) 1
d) negative
e) maximized

Can the original function be derived from its $k^{th}$ order Taylor polynomial?