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Matematisk statistik Tentamen: 2024–08–30 kl 800–1300 Matematikcentrum FMSF30 & FMSF32 Lunds universitet Matematisk statistik Lösningsförslag 1. Beteckna händelserna: Ai: lampa i fungerar (a) (0.3) P (alla fungerar) = P (A1 ∩A2 ∩A3) = P (A1)P (A2|A1)P (A3|A1 ∩A2) = 6 10 · 5 9 · 4 8 = 1 6 (b) (0.3) P (A1 ∩A2 ∩Ac 3) = P (A1)P (A2|A1)P (Ac 3|A1 ∩A2) = 6 10 · 5 9 · 4 8 = 1 6 (c) Vi kan f̊a exakt tv

https://www.maths.lu.se/fileadmin/matematik_lth_hbg/Matematisk_statistik/Loesningar/fmsf30_32_240830_lsg.pdf - 2026-07-30

The racemic 3-(4-oxo-3,4-dihydroquinazolin-2-yl)-N-[1-(pyridin-2-yl)ethyl]propanamide, 1, has previously been identified as a potent but unselective inhibitor of diphtheria toxin-like ADP-ribosyltransferase 3 (ARTD3). Herein we describe synthesis and evaluation of 55 compounds in this class. It was found that the stereochemistry is of great importance for both selectivity and potency and that subs

AIM: Acute kidney injury (AKI) is a common complication of medical and surgical interventions in hospitalized patients and associates with high mortality. Our aim was to examine renal recovery and long-term survival and time trends in AKI survival.METHODS: Changes in serum creatinine (SCr) were used to define AKI in patients at Landspitali University Hospital in Iceland from 1993 to 2013. Renal re

This study investigated the associations between solar and geomagnetic activity and circulating biomarkers of systemic inflammation and endothelial activation in the Normative Aging Study (NAS) cohort. Mixed effects models with moving day averages from day 0 to day 28 were used to study the associations between solar activity (sunspot number (SSN), interplanetary magnetic field (IMF)), geomagnetic

The link between the structural organization of the fibrillar components of lung extracellular matrix (ECM), local tissue stiffness and global viscoelastic behaviour is not known. Here we investigated the effect of injurious mechanical ventilation on the local lung tissue stiffness using 4D synchrotron phase-contrast micro-CT, in normal lung and 7 days after intratracheal bleomycin induced lung in

The PD-AGE international task force underscores the pivotal role that non-human primate (NHP) models play in advancing our understanding of Parkinson's disease (PD) and ageing. Due to their close genetic, anatomical, and behavioural similarity to humans, NHPs uniquely enable translational research to bridge basic science towards clinical application. They are indispensable for modelling the comple

The SXL (Soft X-ray Laser) project developed a conceptual design for a soft X-ray Free Electron Laser (FEL) in the 1-5 nm wavelength range, driven by the existing MAX IV 3 GeV linac. In this contribution we will focus on the FEL operation modes developed for the first phase of the project based on two different linac modes. The design work was supported by the Knut and Alice Wallenberg foundation

To provide practical guidelines for the cytopathologic diagnosis of malignant mesothelioma.

Dedicated clinics have been established for the early diagnosis and treatment of women at risk for inherited breast cancer, but the effects of such interventions are currently unproven. This second report on prospectively diagnosed inherited breast cancer from the European collaborating centres supports the previous conclusions and adds information on genetic heterogeneity and the effect of oophor

To verify the fundamental Gerasimov-Drell-Hearn (GDH) sum rule for the first time experimentally, we measured the helicity dependent total photoabsorption cross section with circularly polarized real photons and longitudinally polarized nucleons in the photon energy range 0.68-1.82 GeV with the tagged photon facility at ELSA. The experiment was carried out with a 4pi detection system, a circularly

Background: Flat and depressed colorectal tumours are common in Japan but are very rare or non-existent in Western countries. Aims: To study the occurrence of flat colorectal tumours in a southern Swedish population. Methods: In this prospective study, 371 consecutive European patients were examined by high resolution video colonoscopy combined with chromoendoscopy. The nature of the lesions was

We resequenced 876 short fragments in a sample of 96 individuals of Arabidopsis thaliana that included stock center accessions as well as a hierarchical sample from natural populations. Although A. thaliana is a selfing weed, the pattern of polymorphism in general agrees with what is expected for a widely distributed, sexually reproducing species. Linkage disequilibrium decays rapidly, within 50 k

Objective: To develop evidence based recommendations for the management of hip osteoarthritis (OA). Methods: The multidisciplinary guideline development group comprised 18 rheumatologists, 4 orthopaedic surgeons, and 1 epidemiologist, representing 14 European countries. Each participant contributed up to 10 propositions describing key clinical aspects of hip OA management. Ten final recommendation

In this report, a panel of European myeloma experts discuss the role of pomalidomide in the treatment of relapsed and refractory multiple myeloma (RRMM). Based on the available evidence, the combination of pomalidomide and low-dose dexamethasone is a well-tolerated and effective treatment option for patients with RRMM who have exhausted treatment with lenalidomide and bortezomib. The optimal start

Indicators of work role functioning (being at work, and being productive while at work) are important outcomes for persons with arthritis. As the worker productivity working group at OMERACT (Outcome Measures in Rheumatology), we sought to provide an evidence base for consensus on standardized instruments to measure worker productivity [both absenteeism and at-work productivity (presenteeism) as w

Background/Objectives:Diets high in saturated and trans fat and low in unsaturated fat may increase type 2 diabetes (T2D) risk, but studies on foods high in fat per unit weight are sparse. We assessed whether the intake of vegetable oil, butter, margarine, nuts and seeds and cakes and cookies is related to incident T2D.Subjects/Methods:A case-cohort study was conducted, nested within eight countri

The incidence of post-transfusion hepatitis non-A, non-B (PTH-NANB) was prospectively assessed among open-heart surgery patients from the southeast region of Sweden before the introduction of antihepatitis C virus (HCV) blood donor screening. Blood samples for alanine aminotransferase analysis were drawn before and 2, 3, and 4 months after transfusion. Surgery was performed in four centres. Of 190

The structure of In-102 has been investigated by in-beam gamma-spectroscopic methods. Knowledge on the excited states of this nucleus has significantly been extended. Three cascades of transitions were observed to exceed the spin-energy domain spanned by the pig(9/2)(-1)v(d(5/2),g(7/2))(3) configurations. The new high spin states at similar to 4 MeV excitation energy could be assigned to the pig(9

BACKGROUND: Previous studies of associations between diet, obesity, and blood concentrations of alpha-tocopherol and beta-carotene have been equivocal. Furthermore, most studies used only body mass index (BMI) as an obesity measure. OBJECTIVES: Our objectives were to examine the associations between energy and nutrient intakes, alcohol consumption, tobacco use, and serum cholesterol and serum conc