Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2,2) and (x₂, y₂ ) = (8, 5) ← 2 points on the line
m = =
=
the line crosses the y-axis at (0, 1) ⇒ c = 1
y = x + 1 ← equation in slope- intercept form
Question:
Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.
Right side up = 60 Upside down = 53 Side = 37
If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?
Answer:
The expected number of times the cup will land on its side is 25 times
Step-by-step explanation:
Given
Required
First, we calculate the probability of landing on side
Next, we calculate the expected value; E(x) using:
When tossed 100 more times:
n = 100 and P(x) = P(Side) = 0.247
So:
--- approximated
<em>Hence, it is expected that it will land on its side 25 times</em>