The answer depends on whether or not the two variables are independent.
This question can only be answered if the probability distribution functions of X1, X2 and X3 are known. They are not and so the question cannot be answered.
The probability of flipping one coin and getting tails is 1/2. In order to find the probability of multiple events occurring, you find the product of all the events. For 3 coins the probability of getting tails 3 times is 1/8 because .5 x .5 x .5 = .125 or 1/8.
how do i find the median of a continuous probability distribution
You multiply the probability by 100.
For a particle in a one-dimensional box of width ( L ), the probability density for the ground state (n=1) and the first excited state (n=2) can be calculated using the wave functions. The probability ( P ) of finding the particle between ( 0.45L ) and ( 0.55L ) can be obtained by integrating the square of the wave function over that interval. For the ground state, this probability is approximately 0.1, while for the first excited state, it is slightly higher due to the increased oscillation, generally around 0.2. The exact values can be calculated using the specific wave functions for each state.
The probability density function of a random variable can be either chosen from a group of widely used probability density functions (e.g.: normal, uniform, exponential), based on theoretical arguments, or estimated from the data (if you are observing data generated by a specific density function). More material on density functions can be found by following the links below.
The conservation of probability in quantum mechanics is a consequence of the time-independent Schrödinger equation. For a normalized wavefunction Ψ(x), the conservation of probability is guaranteed by the fact that the total probability density, |Ψ(x)|^2, remains constant over time according to the continuity equation ∇·j = -∂ρ/∂t, where j is the probability current density and ρ is the probability density.
You find the event space for the random variable that is the required sum and then calculate the probabilities of each favourable outcome. In the simplest case it is a convolution of the probability distribution functions.
This question can only be answered if the probability distribution functions of X1, X2 and X3 are known. They are not and so the question cannot be answered.
Just product of these two namely density and volume would give the mass
The probability of flipping one coin and getting tails is 1/2. In order to find the probability of multiple events occurring, you find the product of all the events. For 3 coins the probability of getting tails 3 times is 1/8 because .5 x .5 x .5 = .125 or 1/8.
how do i find the median of a continuous probability distribution
You multiply the probability by 100.
For a particle in a one-dimensional box of width ( L ), the probability density for the ground state (n=1) and the first excited state (n=2) can be calculated using the wave functions. The probability ( P ) of finding the particle between ( 0.45L ) and ( 0.55L ) can be obtained by integrating the square of the wave function over that interval. For the ground state, this probability is approximately 0.1, while for the first excited state, it is slightly higher due to the increased oscillation, generally around 0.2. The exact values can be calculated using the specific wave functions for each state.
Read the introduction to probability and probability measures at StatLect.com
The answer depends on the probability of WHICH event you want to find!
The probability is 20/50 = 0.4