Answer:
A histogram often looks similar to a bar graph, but they are different because of the level of measurement of the data. Bar graphs measure the frequency of categorical data. A categorical variable is one that has two or more categories, such as gender or hair color
Step-by-step explanation:
Answer:
a) P{W>0} = 0.5
b) P{W<0} = 0.5
c) E[W] = 0
Step-by-step explanation:
Solution:
a) P(W > 0) is 0.5 because there is a 0.5 chance the player will win on their first gamble and stop with a net profit.
b) P(W = 0) is 0.25 because there is a 0.5 chance the player will lose on their first gamble, then also a 0.5 chance they will win on their second gamble and stop with a profit of 0.
All other combinations of gambles result in a net loss, so P(W < 0) = 1−P(W > 0)−P(W = 0)
c) The expected value can be obtained by summing the products of each profit and the probability of that profit. In this case, you have 1∗0.5+0∗0.25+(−1)∗0.125+(−2)∗0.0625, etc. So E(W) is the sum to infinity:
= (1 - n) / 2^( n + 1 )
= 0
4x +5y = -20
for an equation in standard form, you can write the equation for the perpendicular line by swapping the x- and y-coefficients and negating one of them. you need the x-coefficient to be positive, so it is needed to negate that one here. This gives you the equation ...
4x +5y = (some constant)
You find the value of the constant by evaluating the expression at the given point:
4x +5y = 4(5) +5(-8) = -20
The equation is 4x +5y = -20
Answer:
y = -9x - 6.
Step-by-step explanation:
To find a perpendicular line, take the number attached to x from your normal line, flip it, and then switch its sign.
So you have y = 1/9x - 1.
Ignore the -1 here, it does not matter.
1/9 flipped is 9/1, which is 9.
Make it negative.
So the new line will have a slope of -9.
y = -9x + b.
To solve for b, plug in -1 for x and 3 for y.
3 = 9 + b.
So b is going to be -6.
Answer:
The median/middle is 5 and the minimum is 0 and the maximum is 11. The first quartile is 7/5= 1.4 and the second is 4/2 = 2
Step-by-step explanation: