1. 79
2. 330
3. 452
4. 1212
5. 351
6. 202
7. 238
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2.
H - head
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T) = 0.8
urn
3 red and 5 blue
when heads is obtained
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12
when tails is obtained
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3
using bayes rule the answer can be found out,
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
= 0.12 / (0.12 + 0.3)
= 0.12 / 0.42
= 0.286
the final answer is 0.286
Answer:
Step-by-step explanation:
Given
Solving (a): The mean
This is calculated as:
So, we have:
Solving (b): The standard deviation
This is calculated as:
So, we have:
Answer:
x= 9
y= 4
Step-by-step explanation:
The blue triangle is double the size of green so
2+2=4
18/2=9
First I did 8*6 which is 48 ( meaning there is 48 slices total)
Then take 36 and subtract that from 48 getting 12.
So there is 12 slices of pizza left over.