Questions Answered

xEnOnn:
A car accelerates at \(2m/s^2\) and decelerates at \(1m/s^2\). The car starts at position \(0m\) with no velocity. Calculate the shortest po…
 updated 11 months ago
 15 replies
 4 Medals

xEnOnn:
Suppose there is a set of numbers: \(\{1,2,3,4,5\}\). I pick from the set of numbers 3 times. Each pick is independent. So there is replacem…
 updated one year ago
 11 replies
 1 Medal

xEnOnn:
Suppose I have 3 dices. I throw them. I want to get a {1,2,5}.
So I do this to get the probabilities:
\[\frac{1}{6} \cdot \frac{1}{6} \cdot …
 updated one year ago
 20 replies
 3 Medals

xEnOnn:
Can I use a TStatistic to construct a Confidence Interval for a sample collected from a large population? If no, why would it be wrong to u…
 updated one year ago
 2 replies
 No Medals Yet

xEnOnn:
Two dice are rolled in a game. I win if the sum of the outcomes of the two dice is 7 or 11 and lose if the sum is 2, 3 or 12. I keep rolling…
 updated one year ago
 29 replies
 1 Medal

xEnOnn:
There are 25 students at a bus stop. It is known that on average, 3 buses arrive at the bus stop in every 20 minutes.
What is the probabil…
 updated one year ago
 13 replies
 1 Medal

adnanchowdhury:
The random variable X has the distribution Geo(0.2).
Two independent values of X are found.
Find the probability that the total of these t…
 updated one year ago
 4 replies
 No Medals Yet

xEnOnn:
A population of normally distributed account balances have mean balance $150 and standard deviation of $35. What is the probability that the…
 updated one year ago
 21 replies
 4 Medals

xEnOnn:
The relative frequency distribution of the weights of all passengers using an elevator is a moundshaped, with mean 150 and standard deviati…
 updated one year ago
 3 replies
 1 Medal

xEnOnn:
Suppose past data has shown that 60% of the students attend lectures. There are 50 students enrolled in a course. To check attendance in eac…
 updated one year ago
 5 replies
 3 Medals

xEnOnn:
Each box is packed with 40 units of components. An inspector will randomly select 5 units from a box to test if the components are in good c…
 updated one year ago
 37 replies
 4 Medals

xEnOnn:
In a city, the daily number of traffic accidents follows a Poisson distribution with \[\lambda=9\]. What is the probability that the total n…
 updated one year ago
 46 replies
 1 Medal

xEnOnn:
I have a statistics question. The question is attached in the following reply.
 updated 2 years ago
 3 replies
 1 Medal

xEnOnn:
Suppose there are 10 different pairs of socks in a drawer. In other words, there are 20 singleton socks in total in the drawer. I randomly p…
 updated 2 years ago
 5 replies
 2 Medals

xEnOnn:
I roll a fair dice 7 times. What is the probability that all the six sides of the dice come up? How should I calculate this?
 updated 2 years ago
 17 replies
 1 Medal

xEnOnn:
Can someone show me the steps to this differentiation? \[\frac { d }{ dx } { 2 }^{ x }\]
How should I start with differentiating this?
 updated 2 years ago
 7 replies
 4 Medals

xEnOnn:
Suppose I have the following sequence in an event:
BABCCABAA
…
 updated 2 years ago
 13 replies
 3 Medals

xEnOnn:
How can I know what a summation of series will eventually converge to? For example, in this series:
\[\sum _{ i=1 }^{ n }{ { 2 }^{ i1 } } …
 updated 2 years ago
 5 replies
 1 Medal

xEnOnn:
Suppose I throw 2 fair dice. Let X be a random variable of the total points from the 2 fair dice thrown. So, the random value X can hold 11 …
 updated 2 years ago
 14 replies
 2 Medals

xEnOnn:
Suppose I flip a coin 3 times, let the Sample Space \[\Omega =\{ H,T\} \]
And \[\omega \in \Omega \]
Define a random variable of X to be t…
 updated 2 years ago
 8 replies
 1 Medal

xEnOnn:
Suppose there are 5 students in a class. What is the probability of having exactly 3 students who have the same birthday?
I am thinking I s…
 updated 2 years ago
 6 replies
 2 Medals

xEnOnn:
How can I find the tangent vector direction to a function \[y=x^3\]
I took the derivative of it and then I got this: \[y'=3x^2\] But this i…
 updated 2 years ago
 21 replies
 1 Medal

xEnOnn:
I suddenly got very confused with something. Suppose I have a parametric equation like this: \[\begin{bmatrix}
x\\
y…
 updated 2 years ago
 2 replies
 No Medals Yet

xEnOnn:
Is it possible to convert from an explicit equation back to its implicit equation? Suppose I have the following explicit equation: \[\left …
 updated 2 years ago
 10 replies
 1 Medal

xEnOnn:
I have this polynomial equation: \[x^4  4x^3+5x^22x+1\]
But how can I make it in the form of \[(x+a)(bx^3+cx^2+dx+e)\]? What are the step…
 updated 2 years ago
 1 reply
 No Medals Yet

xEnOnn:
How do I solve for t in the equation \[\frac{t(t^22)}{t^21}=0\]
I know the answers are +square root of 2 and 0 but that's after I punch…
 updated 2 years ago
 21 replies
 2 Medals

xEnOnn:
Does a singular matrix have an adjoint matrix? My lecturer said that there is an adjoint matrix for every matrices be it singular or invert…
 updated 2 years ago
 3 replies
 No Medals Yet

xEnOnn:
How can I prove that it is true that \[det(AB)=det(A) \times det(B)\] where A and B are square matrices?
 updated 2 years ago
 7 replies
 1 Medal

xEnOnn:
When we say \[\frac{\mathrm{d} y}{\mathrm{d} x}\], it also be written as \[\Delta x\] or \[\Delta y\]?
 updated 2 years ago
 14 replies
 1 Medal

xEnOnn:
From this: \[(1+t+t^2)^5=\sum \binom{5}{r_1}\binom{5r_1}{r_2}t^{r_2}t^{2r_1}\]
How do I carry on to find out the values of \[r_1\] and \[r…
 updated 2 years ago
 39 replies
 2 Medals
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