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
Multiply 1760 by 26
1760*26
And it gives you the answer
=45760
Answer:
I'd say you need to be more specific.
Step-by-step explanation:
"Different" doesn't tell you much.
Consider the equations ...
These equations are "different", but they are <em>dependent</em>.
_____
I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.
If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.
The system above can be put in the form
In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are <em>dependent</em>, and there are an infinite number of solutions. (Both describe the same line.)
If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called <em>inconsistent</em>.
Answer:
Quantitative
Discrete
Ratio
Step-by-step explanation:
The number of days traveled by randomly selected employees is a quantitative variable because it can be presented meaningful numerical form and further the number of days traveled by randomly selected employees are discrete because the number of days can be counted. Now, the level of measurement for the variable "number of days traveled by employees" is ratio scale because it has a meaningful zero. Meaningful zero in this case will means that none of the day is spent on travelling.
Answer:
Step-by-step explanation:
The GCF of 11 and 14 is 1.