Answer:
Step-by-step explanation:
Leaving leap years, a year contains 365 days.
For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of
a) Probability that exactly 3 people have same birthday = 
Each day is independent of the other
And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p =
Expected value of days = np = 
b) Distinct birthdays is binomail with p =1/365 and n = 365
Hence
expected value = np =1
Answer: The Answer is "less than"
Step-by-step explanation:
To find the sum of a series, you find the difference between the first and last term, multiply that by the number of terms, then divide by 2.
For the even numbers, 2 is the first term and 200 is the 100th term (because 2+(100-1)2 is equal to 200). So, (100(2+202)/2 = 10100.
For the odd numbers, 1 is the first term and 201 is the 101th term (because 1+(101-1)2 is equal to 201). So, (101(1+202))/2 = 10251.5.
10100<10251.5 so the sum of the first 100 even numbers is less than the sum of the first odd 101 numbers.
Step-by-step explanation:
given x=2
and the equation
to find the value of q , you need to make q the subject in the equation as shown below
q= 3x-x -4
q=2x-4
but x= 2
so just substitute the value of x in the equation for the q
q=4-4
q=0
therefore the value of q is 0
Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) 
= 9.5
3x+4 = 9.5(2)
3x = 19-4
x = 15/3
x = 5
b) 
= 5
7+2x = 5(3)
2x = 15-7
x = 8/2
x=4
