SOLUTION:-
Given data,
f(x) = 0.04
QUESTION 8 1 poir The probability density function of the time it takes a hematology cell...
A biostatistician is interested in studying the time X (in seconds) it takes a hematology cell counter to complete a test on a blood sample. The probability density function of the aforementioned time is: f(x) = ( cos x if 0 < x < π/2 0 elsewhere. 1. Find the cumulative distribution function and compute the median and 65-th percentile of the time to complete a test on a sample. 2. What is the percentage of tests require less than...
A biostatistician is interested in studying the time X (in seconds) it takes a hematology cell counter to complete a test on a blood sample. The probability density function of the aforementioned time is: f(x) = cos x if 0 < x < pi/2 0 elsewhere. 1. Find the cumulative distribution function and compute the median and 65-th percentile of the time to complete a test on a sample. 2. What is the percentage of tests require less than /3...
A biostatistician is interested in studying the time X (in seconds) it takes a hematology cell counter to complete a test on a blood sample. The probability density function of the aforementioned time is: a) Find the cumulative distribution function and compute the median and 65-th percentile of the time to complete a test on a sample. b) What is the percentage of tests require less than π/3 seconds to complete? c) Suppose that this biostatistician is interested in the...
Exercice 2:1 A biostatistician is interested in studying the time X (in seconds) it takes a hematology cell counter to complete a test on a blood sample. The probability density function of the aforementioned time is: f(x) = -{ cos x if (i < x <T/2 0 elsewhere. 1. Find the cumulative distribution function and compute the median and 65-th percentile of the time to complete a test on a sample. 2. What is the percentage of tests require less...
Exercice 2: A biostatistician is interested in studying the time X (in seconds) it takes a hematology cell counter to complete a test on a blood sample. The probability density function of the aforementioned time is: cose if 0<x</2 f(x) = 0 elsewhere. 1. Find the cumulative distribution function and compute the median and 65-th percentile of the time to complete a test on a sample. 2. What is the percentage of tests require less than 7/3 seconds to complete?...
Exercice 2: A biostatistician is interested in studying the time X (in seconds) it takes a hematology cell counter to complete a test on a blood sample. The probability density function of the aforementioned time is: COST f(x) = = {* if 0 < x < 1/2 elsewhere. 0 1. Find the cumulative distribution function and compute the median and 65-th percentile of the time to complete a test on a sample. 2. What is the percentage of tests require...
Exercice 2: A biostatistician is interested in studying the time X (in seconds) it takes a hematology cell counter to complete a test on a blood sample. The probability density function of the aforementioned time is: f(1) = cos z if 0 < x < 7/2 elsewhere. 1. Find the cumulative distribution function and compute the median and 65-th percentile of the time to complete a test on a sample. 2. What is the percentage of tests require less than...
Exercise 1: Mussels are Canada's top shellfish aquaculture product, produced in Newfound- land and Labrador, Nova Scotia, Prince Edward Island and Quebec. Mussels filter the sea water between their shells and accumulate viral, bacterial, and parasitic pathogens in their tissues. Among the mussels collected from a certain Canadian coastline 80% are infected with a parasite. A biologist examines 120 randomly selected mussels in this region. What is the probability that more than 86% of the mussels in this sample are...
8. Multiple Choice Question Suppose the reaction time at a traffic light that a driver takes to brake is normally distributed with mean = 1.25 seconds and standard deviation o = 0.2 seconds. What is the probability that the time to react to a red traffic light will be larger than 1.75 seconds? A. 0.1054 B. 0.2397 C. 0.3456 D. 0.0062 E. 0.0538 9. Multiple Choice Question Consider the discrete random variables X and Y with the following joint probability...
Problem 2 [17 points]. Transformations! a) (5 points) Suppose the time, W, it takes to complete a technical task at a workshop has probability density function -w/2 f(w)y 0, 0, otherwise Using the appropriate transformation methods, find the density function for the a time it takes two workers to complete this technical task: S Wi + Ws b) (5 points) Derive the moment generating function of a standard normal randon variable. Use point form to explain each step in your...