Subject: Mathematics
Book: Maths Mastery
Bernoulli trials describe experiments with exactly two outcomes (success or failure) in repeated independent trials. Each trial has probability p of success and q=1–p of failure. The probability of exactly k successes in n trials is given by C(n, k) × p^k × q^(n–k). For example, in 5 coin flips with p=0.5, the probability of exactly 2 heads is C(5,2) × 0.5² × 0.5³=10 × 0.25×0.125=0.3125. Bernoulli trials underpin binomial distributions, crucial for forecasting repeated events in manufacturing (defects), sales leads, and gambling odds. Familiarity fosters robust statistical analysis and real-life predictions.
If sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionIf x + y = 10 and xy = 21, what is the value of x³ + y³?
View QuestionThe LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?
View QuestionIf the radius of a circle is 7 cm, what is its circumference?
View QuestionWhat is the square root of 144?
View QuestionThe LCM of 12 and 15 is:
View QuestionIf the radius of a circle is doubled, what happens to its area?
View QuestionIf a = 2 and b = 3, what is the value of (a^2 + b^2)?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionWhat is the cube root of 729?
View Question