1. A continuous random variable X has probability density function f(x) = It is known that P(X < 1) = 1 – . (a) Show that a = .

STMicroelectronics products are not authorized for use as critical components in life support devices or systems without express written ap- proval

[r]

As consequences of inequality (1) we can estimate the oscillation of poste- rior distributions under (small) violations of the assumed prior distribution and we can conclude that

Key words and phrases: total variation distance, w-functions, Stein–Chen identity, Poisson, binomial, negative binomial, hypergeometric

For C 1 maps we prove that almost all primes are minimal periods of each essential self-map of a rational exterior compact manifold (Th. Dold’s relations and transversal maps.

The first step of our proof is a general “scattered” reduction of the theorem to the same statement but now only for metric spaces M which are both nowhere locally compact

If X is a real Hilbert space condition (d) can be replaced by “F ( · , x) has a strongly measurable selection” and the values of F need only be closed convex.. This is Theorem 10.5

As a corollary, we obtain the following main theorem of this paper: Chainable continua admit no expansive homeomorphisms2. There are no expansive homeomorphisms on chainable

(See §2 below for the definition of the metric on X and for the definition of the boundary ∂Ω.) Notice that a Cayley graph X of a finitely generated group with infinitely many

The duration of a call with a male colleague is a random variable from a uniform distribution over the interval [1, 5], and with a female colleague – an exponential distribution

Let X denote the total time a lamp works until the supply of light bulbs is finished.. 10 girls and 10 boys are

Consider the following game: we toss a symmetric coin until heads appear?. What is a reasonable price for participation in

(d) Write down the number of customers of Alan’s Diner that were also customers of Pete’s Eats.. A survey of 100 families was carried out, asking about the pets

(b) Write down the coordinates of the local maximum or minimum of the function.. (c) Find the equation of the axis of symmetry of

(d) Find the probability that a student chosen at random from the IB class plays either the clarinet or drums or

(c) Calculate the number of years it would take for the radioactive material to have a mass of 45 grams... (b) Write down the equation of the asymptote to

Show that the completion of a perfect field is

Suppose that the other two roots are α

[r]

You are not required to find the coordinates of the

The speeds of the cars passing the school at Myśliwiecka are normally di- stributed.. 37% of the cars exceed the speed limit and 7% of the cars exceed this limit by more than 10

[r]

[r]