An important factor in solid missile fuel is the particle size distribution. Significant problemsoccur if the particle sizes are too large. From production data in the past, it has been determined thatthe particle size (in micrometers) distribution is characterized by(a) Verify that this is a valid pdf.(b) Find the cdf of X.f(x) = { 3²3x4, x>1elsewhere(c) Find the average particle size in micrometers.

Given that, The distribution of particle size f(x)=3x-4 x>1=0 elsewhere The pdf…

Answered: An important factor in solid missile…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

X has PDF f(x) = #/2 if0
Obtain the relationship between marginal and joint characteristics functions.
A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity 14 m/s, Its height in meterst seconds later is given by y 14t-1.8622. (Round your answers to two decimal places.) (a) Find the average velocity (in m/s) over the given time intervals. () (1,2) () (1, 1.5) () (1, 1.4) (v) [1, 1.01) (v) (1, 1.001) m/s m/s m/s m/s m/s (b) Use your answers from part (a) to estimate the instantaneous velocity of the rock (in m/s) when t - 1. m/s
1. Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their speed. It occurs above approximately 50 meters per second when pressure drops sufficiently to allow the water to dissociate into water vapor, forming a gas bubble behind the vehicle. When the gas bubble completely encloses the vehicle, supercavitation is said to occur. Eight tests were conducted on a scale model of an undersea vehicle in a towing basin with the average observed speed x = 102.2 meters per second. Assume that speed is normally distributed with known standard deviation o =4 meters per second. 1.1. Test the hypothesis H0 : µ=100 versus H1: µ < 100 using a=0.05. 1.2. What is the P-value for the test in part 1.1.? 1.3. Compute the type II error if the true mean speed is as low as 95 meters per second. 1.4. What sample size would be required to detect a true mean speed as low as 95 meters per second if you are willing to accept a type Il error of 0.15?
2. As ultrasound propagates into the body, absorption and scattering result in a decrease (or attenu- ation) of the intensity. This can be described by the attenuation coefficient, a. In an experiment to investigate this attenuation in the chest wall of humans, measurements were conducted in which the attenuation of ultrasound through sample human tissue was measured as a function of the ultrasound frequency, f [1]. (a) The figure below (adapted from [1]) shows a set of measurements of the attenuation coef- ficient as a function of the frequency. Fit a linear function to the data points shown. You should draw an approximate line of best fit, determine the slope and intercept of your fit, and then quote the final equation for your line. 12 10 2 1 3 4 5 Frequency (MHz) Attenuation coefficient (dB/cm)
A research group developed the following mathematical model relating systolic blood pressure and age: P(x) = a + bln(x + 1), where P(x) is pressure, measured in millimeters of mercury, and x is age in years. By examining Guilford County hospital records, they estimate the values for Guilford County to be a = 37 and b = 25. Using this model, estimate the rate of change of pressure with respect to time after 15 years. Round to the nearest hundredth (2 decimal places). millimeters per year
A worker with a weight of 65 kg and a body surface area of 1.74 , performs physical work activities in several work environments as shown in the following table. The work activities of these workers require energy and a measured metabolic rate of 400 W/m2. During their work activities, the worker wears a coverall made of polyolefin and wears a headgear (1) Calculate the average WBGT of the work environment. (2) Perform an analysis related to the heat stress experienced by the worker, if the worker performs his work activities for 75% of his total working time and the rest is rest, (note: use TLV from ACGIH and ISO 7243)
Central angles and arc mea X A Classes Maya Paniagua - L A ixl.com/math/geometry/central-angles-and-arc-measures BC Bookmarks Maya Paniagua - C.. Geumetry U.2 CenLI di dnyies anu diC Tmeasures VZA What is mZRUS? x+98° U 770 x+96° 53° MZRUS = Submit

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS