Binomial Distribution Calculator For parameters \(n\) (number of trials) and \(p\) (success probability), the PMF is: $$ P(X = x) = \binom{n}{x} p^x (1-p)^{n-x}, \quad x = 0, 1, \ldots, n. $$ Step 1: Enter Parameters \( n \) (number of trials): Enter a non-negative integer (e.g., 10) \( p \) (success probability): Enter a […]
Read MoreMatrix Calculator Matrix Calculator Select an operation and enter matrix dimensions and values to perform matrix calculations. Select Operation & Dimensions Operation: Add (A + B)Subtract (A – B)Multiply (A × B)Determinant (det A)Inverse (A⁻¹) Matrix A Dimensions: Matrix B Dimensions: Generate Matrices Matrix A: Matrix B: Compute Operation Result The computed result will be […]
Read MoreUse our Negative Binomial Distribution Calculators to calculate Negative Binomial Distribution variance, mode, median, mean, CDF, PDF, and PMF Negative Binomial Distribution Calculator For parameters \( r \) (number of successes) and \( p \) (probability of success), the PMF for the number of failures \( x \) (before the \( r^{\text{th}} \) success) is: […]
Read MoreUse our Hypergeometric Distribution Calculator to determine the probability of achieving a specific number of successes when items are randomly drawn from a finite population without replacement. Hypergeometric Distribution Calculator Enter the parameters for the hypergeometric distribution to calculate PDF, CDF, expected value, variance, and to generate a random sample. * \(N\): population size, \(K\): […]
Read MoreRedox Reaction Calculator Redox Reaction Calculator Calculate the standard cell potential using: $$ E_{\text{cell}} = E^\circ_{\text{cathode}} – E^\circ_{\text{anode}} $$ * Enter the standard reduction potentials (in volts) for the cathode and anode. Step 1: Enter Reaction Data Cathode Standard Reduction Potential, \( E^\circ_{\text{cathode}} \) (V): e.g., +1.10 V Anode Standard Reduction Potential, \( E^\circ_{\text{anode}} \) […]
Read MorepH Calculator pH Calculator Hydrogen Ion Concentration [H+] (M): Calculate pH Reset Calculation Result pH Value
Read MorepH of Acid Buffer Calculator pH of Acid Buffer Calculator Calculate the pH of a buffer solution using: \[ \text{pH} = \text{p}K_a + \log\left(\frac{[\text{A}^-]}{[\text{HA}]}\right) \] where [A⁻] is the concentration of the conjugate base and [HA] is the concentration of the acid. * Enter the buffer’s pKₐ, conjugate base concentration (mol/L), and acid concentration (mol/L). […]
Read MorepH of Salt of Weak Acid and Weak Base Calculator pH of Salt of Weak Acid and Weak Base Calculator Calculate the pH of a solution formed by the salt of a weak acid and a weak base using: \[ \text{pH} = 7 + \frac{1}{2}\left(pK_a – pK_b\right) \] * Enter the weak acid’s pKₐ and […]
Read MorepH of Salt of Weak Base and Strong Acid Calculator pH of Salt of Weak Base and Strong Acid Calculator Calculate the pH of a salt solution (from a weak base and strong acid) using: \[ \text{pH} = \frac{\mathrm{p}K_a – \log C}{2} \] * Enter the salt concentration (mol/L) and the pKa of the conjugate […]
Read MoreMaximum Yield of Intermediate Product Calculator Maximum Yield of Intermediate Product Calculator For a sequential reaction: \( \text{A} \xrightarrow{k_1} \text{B} \xrightarrow{k_2} \text{C} \), the intermediate B reaches its maximum concentration at: \[ t_{\text{max}} = \frac{\ln\left(\frac{k_2}{k_1}\right)}{k_2 – k_1} \] and the maximum yield of B (as a percentage of the initial A) is: \[ \%B_{\text{max}} = […]
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