Question: A point D is chosen on the line AB whose
A point D is chosen on the line AB, whose midpoint is C and whose length is α. If X, the distance from D to A, is a random variable having the uniform density with α = 0 and β = α, what is the probability that AD, BD, and AC will form a triangle?
Answer to relevant QuestionsIn a certain city, the daily consumption of electric power in millions of kilowatt– hours can be treated as a random variable having a gamma distribution with α = 3 and β = 2. If the power plant of this city has a daily ...The number of planes arriving per day at a small private airport is a random variable having a Poisson distribution with λ = 28.8. What is the probability that the time between two such arrivals is at least 1 hour? If Z is a random variable having the standard nor–mal distribution, find the respective values z1, z2, z3, and z4 such that (a) P(0 < Z < z1) = 0.4306; (b) P(Z ≥ z2) = 0.7704; (c) P(Z > z3) = 0.2912; (d) P(–z4 ≤ Z ...In a photographic process, the developing time of prints may be looked upon as a random variable having the normal distribution with µ = 15.40 seconds and σ = 0.48 second. Find the probabilities that the time it takes to ...Perform a suitable change of variable to show that the integral defining the gamma function can be written as
Post your question