Answer:
What is the whole function?
Step-by-step explanation:
Answer:
0.0177 days
Step-by-step explanation:
Solution:-
- The group has n = 50 people
- Each person is equally likely to have a birthday on each of 365 days in the year.
- The probability of success p = 1 / 365
- The probability of failure q = (1 - 1/365)
- We will denote random variable X as a given day has k number of birthdays.
- X follows binomial distribution:
X ~ Bi ( 50 , 1/365)
- The probability that there would be 3 birthdays on a day would be:
P ( X = 3 ) = 50C3 ( 1 / 365)^3 * ( 1 - 1/365)^47
P ( X = 3 ) = 0.00035
- The expected number of days for exactly three people to have same birth date:
E( X = 3 ) = P (X=3)*n = 0.00035*50 = 0.0177 days
Answer:
hope it helps.
<h3>stay safe healthy and happy.</h3>
Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
√(x + 8) − √(x − 4) = 2
Solving:
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
