Answer:
1. 50%
Step-by-step explanation:
For each day, there are only two possible outcomes. Either it does rain, or it does not, so we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
We want to find
NNN + RNN + NRN + NNR
This is
So
![P(X = 1) = C_{3,1}.(0.5)^{1}.(0.5)^{2} = 0.375/tex][tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.125 + 0.375 = 0.5](https://tex.z-dn.net/?f=P%28X%20%3D%201%29%20%3D%20C_%7B3%2C1%7D.%280.5%29%5E%7B1%7D.%280.5%29%5E%7B2%7D%20%3D%200.375%2Ftex%5D%3C%2Fp%3E%3Cp%3E%5Btex%5DP%28X%20%5Cleq%201%29%20%3D%20P%28X%20%3D%200%29%20%2B%20P%28X%20%3D%201%29%20%3D%200.125%20%2B%200.375%20%3D%200.5)
The correct answer is:
1. 50%
4:5 means that 52/4= 13 and 13 x 5=65 so there are 65 female employees so when you add 52+65=117
so 117 employees
Answer:
0.298
Step-by-step explanation:
in this case we have an exponential distribution:
1 - e ^ (- x / y)
where x and y corresponds to the times we find in the exercise.
Now follows memoryless property.
P (More than 23 additional minutes | 20 minutes passed)
P = P (More than 23 minutes)
P = 1 - P (Less than or equal to 23 minutes)
P = 1 - (1 - e ^ (- 23/19))
P = 0.298
Therefore the probability is 29.8%
