Answer:
Elia was riding of an hour from the house to the beach,
of an hour from the beach to the house and rode
kilometers from the house to the beach and
kilometers from the beach to the house.
Step-by-step explanation:
1. Let b be the number of hours it took Elia to ride from her house to the beach, and p the number of hours it took her to ride from the beach to the park. The total duration of the rides was 1 hour, so
b + p = 1
2. Elia rode her bicycle from her house to the beach at a constant speed of 18 kilometers per hour, she was riding for b hour, then she rode 18b kilometers from her house to the beach.
Elia rode from the beach to the park at a constant speed of 15 kilometers per hour, she was riding for p hours, then she rode 15p kilometers from the beach to the house.
The distances she rode in each direction are equal, so
18b = 15p
3. Solve the system of two equations:
From the first equation
Substitute it into the second equation
Elia was riding of an hour from the house to the beach,
of an hour from the beach to the house and rode
kilometers to the beach and
kilometers fro mthe beach to the house.
Standard deviations of the four activities of the critical path are 1,2,4,2.
Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path
Standard deviation of critical path
Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.
That is, we need to find P(X<38) :
Probability
Thus the probability that the project will be completed in 38 weeks is 0.34.
Answer:
Step-by-step explanation:
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, and
only have one common factor:
. Therefore, to factorize this expression, divide both terms by
.
Now, we've "carried" out of the expression and have therefore factored it.
I hope this helps!
Answer:
The value of the parameter is λ is 0.03553357
Step-by-step explanation:
Consider the provided function.
for −∞ < x < ∞.
It is given that standard deviation is given as 39.8 km.
Now we need to calculate the value of parameter λ.
The general formula for the probability density function of the double exponential distribution is:
Where μ is the location parameter and β is the scale parameter.
Compare the provided equation with the above formula we get.
and μ = 0.
Standard deviation = √2β
Now substitute the value of β in .
Hence, the value of the parameter is λ is 0.03553357
Answer:
a) 91.33% probability that at most 6 will come to a complete stop
b) 10.91% probability that exactly 6 will come to a complete stop.
c) 19.58% probability that at least 6 will come to a complete stop
d) 4 of the next 20 drivers do you expect to come to a complete stop
Step-by-step explanation:
For each driver, there are only two possible outcomes. Either they will come to a complete stop, or they will not. The probability of a driver coming to a complete stop is independent of other drivers. So we use the binomial probability distribution to solve this question.
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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
20% of all drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible.
This means that
20 drivers
This means that
a. at most 6 will come to a complete stop?
In which
91.33% probability that at most 6 will come to a complete stop
b. Exactly 6 will come to a complete stop?
10.91% probability that exactly 6 will come to a complete stop.
c. At least 6 will come to a complete stop?
Either less than 6 will come to a complete stop, or at least 6 will. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
19.58% probability that at least 6 will come to a complete stop
d. How many of the next 20 drivers do you expect to come to a complete stop?
The expected value of the binomial distribution is
4 of the next 20 drivers do you expect to come to a complete stop