First, use the random number table to generate the possible probabilities but only account the first four digits in order to get a value that is a percentage
35.85%
28.97%
90.12%
5.07%
20.43%
The average is
36.09%
There is a 36.09% probability that the light will be green when reaches the traffic light
This is a difference of squares problem. You just have to make sure every term is a perfect square and that there is subtraction in the problem.
Answer: 
Step-by-step explanation:
Given
Rectangle has an area of 
Suppose rectangle length and width are
and 
If each side is increased by 
Area becomes 
We can write

Substitute the value of width from (ii) in equation (i)

Width corresponding to these lengths

Therfore, we can write the length of the longer side is 
Answer:
1). 0.903547
2). 0.275617
Step-by-step explanation:
It is given :
K people in a party with the following :
i). k = 5 with the probability of 
ii). k = 10 with the probability of 
iii). k = 10 with the probability 
So the probability of at least two person out of the 'n' born people in same month is = 1 - P (none of the n born in the same month)
= 1 - P (choosing the n different months out of 365 days) = 
1). Hence P(at least 2 born in the same month)=P(k=5 and at least 2 born in the same month)+P(k=10 and at least 2 born in the same month)+P(k=15 and at least 2 born in the same month)
= 
= 
= 0.903547
2).P( k = 10|at least 2 share their birthday in same month)
=P(k=10 and at least 2 born in the same month)/P(at least 2 share their birthday in same month)
= 
= 0.0.275617