Q1) The cumulative distribution function for X here is obtained as:
Therefore the CDF here is given as:
The Median now is computed here as:
Similar to above method, the 65th percentile value here is computed as:
Q2) The probability here is computed as:
Therefore 86.60% is the required percentage of values here.
Q3) The mean is computed here as:
Therefore (e - 1) is the required mean value here.
Now we first compute the second moment here as:
Now the variance here is computed as:
This is the required variance here.
Exercice 2: A biostatistician is interested in studying the time X (in seconds) it takes a...
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 2:1 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...
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...
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...
QUESTION 8 1 poir The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.04 for 57<x<82 seconds. Round your answers to 2 decimal places. (a) What proportion of tests require more than 70 seconds to complete? (b) What proportion of tests require less than one minute to complete? (c) Determine the mean and variance of the time to complete a test on a sample. Mean- seconds Variance...
Let X denote the amount of time for which a book on 2-hour reserve at a college library is checked out by a randomly selected student and suppose that Xhas cumulative distribution function, CDF 4 1 2 2 Use this to compute the following a. P(Xs 1) b. P(0.5 XS1.5) d. Determine the median checkout duration. That is find x such that F(x) = 0.5. e. Compute F') to obtain the density function fo) f. Determine E(X) and Var(X). Let...
1) Compute the Population Mean, Variance and standard Deviation of the 20 men in seconds the subjects stayed balanced. 2) Identify a random sample of 10 men and find the sample mean (avaerage balance time in seconds) 3) Find he Median number of days per week exercised. 4) Find the Mode of the favorite exercise. 5) Construct a complete hypothesis test and determine if the two groups (population mean vs sample mean) have significantly different balance using Alpha Level ->...