Answer: 
Step-by-step explanation:
The probability distribution function for uniform distribution in interval [a,b] is given by :_

Given : Mr. Warren Buffet and Mr. Zhao Danyang agree to meet at a specified place between 12 pm and 1 pm.
Since 1 pm comes after 12 pm, and in 24 hours system we call it as 13 pm.
If each person arrives between 12 pm and 1 pm at random with uniform probability, then the uniform distribution function for this will be :_

Hence. the distribution function for the length of the time that the first to arrive has to wait for the other will be :-

Answer:
1)Area of circle: 64
2)Area of semicircles: 128
3)Area of quarter-circles: 128
4)Total area of pattern: 320
Step-by-step explanation:
r = 8cm
Given: 1 circle, 4 semicircles, and 8 quarter-circles.
Area of a circle: 
1) A =
where r = 8
A = 64
2) 4 semicircles = 2 circles
so the answer is 2*A = 128
3) 8 quarter-circles = 2 circles
Therefore, the answer here is the same as the answer for #2!
4)There are 5 circles total because:
1 circle = 1 circle
4 semicircles divided by 2 = 2 circles (because
times 4)
8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles
So ... 1 + 2 + 2 = 5 circles
Now we need to find the area of 5 circles which is just 5*A
5*A = 320
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Number of employees = 192
See the table
Process
a) To solve this question, consider only the employees that prefer a jacket
Male 77
Female +35
112 employees prefer a jacket
- Calculate the probability
P = 112 / 192
P = 0.58
b) Female and prefers a jacket
P = (54 /192)(35/192)
P = (0.28)(0.18)
P = 0.05
Answer:
The chance of rolling a number greater than 4 (a 5 and 6) is 2/6 = 1/3 after simplification. The probability it WON'T happen is 1 - 1/3 = 2/3.
The ratio of against to for is 2/3:1/3
You can further simplify this ratio by multiplying each side by 3 and yielding
2:1.
The chance of it not happening is twice as likely as it is to roll a number greater than 4