## Question

###### A biostatistician is interested in studying the time X (in seconds) 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 < 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 seconds to complete?

3. Suppose that this biostatistician is interested in the following composite function of time to complete a test on a sample: exp(sin x). Compute the mean and variance of the underlying random variable.

## Answers

#### Similar Solved Questions

1 answers

##### Mickley Company's predetermined overhead rate is $23.00 per direct labor-hour and its direct labor wage rate...

Mickley Company's predetermined overhead rate is $23.00 per direct labor-hour and its direct labor wage rate is $15.00 per hour. The following information pertains to Job A-500: Direct materials Direct labor $220 $150 Required: 1. What is the total manufacturing cost assigned to Job A-500? Total...

1 answers

##### Challenge yourself (Extracredite-5 points) 1. A cyclic compound A is allowed to react with sodalime to...

Challenge yourself (Extracredite-5 points) 1. A cyclic compound A is allowed to react with sodalime to produce B which on dehydration gives C. C on ozonolysis produces D which then oxidize to produce a dioicacid with 6 carbon atoms. Write the reactions involved and find A, B, C and D...

1 answers

##### A 208 lb hospitalized patient received intermittent intravenous infusions of an antibiotic for a serious and...

A 208 lb hospitalized patient received intermittent intravenous infusions of an antibiotic for a serious and life threatening infection from a burn wound. The patient received 3.3 mg/kg infused over 20 minutes administered every 6 hours. A blood samples was collected 45 minutes before the third infu...

1 answers

##### Muldorf, Inc. has two manufacturing departments, Forming and Assembly. The company applies manufacturing overhead to jobs...

Muldorf, Inc. has two manufacturing departments, Forming and Assembly. The company applies manufacturing overhead to jobs using a predetermined rate based on machine hours in the Forming Department and on direct labor hours in the Assembly Department. Information used to compute predetermined rates ...

1 answers

##### Empirically-Oriented Questions Answer the below questions relating to the following table: Labour Market Outcomes of Graduates...

Empirically-Oriented Questions Answer the below questions relating to the following table: Labour Market Outcomes of Graduates and School Leavers, 2015 Aged 25-29 Aged 30-59 % Graduates 41% 32% % School Leavers 49% 54% Graduates School-leavers Graduates School-leave...

1 answers

##### Joanne is a 40 Y.O. woman admitted under your care after a stroke. Joanne has a...

Joanne is a 40 Y.O. woman admitted under your care after a stroke. Joanne has a R) sided facial droop and dysphagia. She has a supra-pubic catheter insitu. Joanne has a history of DMT2 and was on oral hypoglycaemic agents; however, her medications have been withheld since coming to hospital. The fol...

1 answers

##### 11. Find the eigenvalues and corresponding eigenvectors of the following matrix using Jacobi's method. [1 /...

11. Find the eigenvalues and corresponding eigenvectors of the following matrix using Jacobi's method. [1 / 2 A= V2 3 2 1 2 2 1...

1 answers

##### Problem 1 A ring, having an inner radius of 4 inches, an outer radius of 4.125...

Problem 1 A ring, having an inner radius of 4 inches, an outer radius of 4.125 inches, and a w-0.5 inches is placed over a flexible membrane. The membrane is inflated to a pressure of 60 psi. Determine the change in the radius after the pressure is applied. (E 29,000 ksi)....

2 answers

##### A person makes a quantity of iced tea by mixing 520 g. of hot tea with an equal m...continues

a person makes a quantity of iced tea by mixing 520 g. of hot tea with an equal mass of ice at 0C. what are the final temperature and mass of the ice remaining if theinitial hot tea is at temperature of 90C? 70 C?...

1 answers

##### Determine the x component (in cm) of the centroid of the region below if a=14.6 cm,...

Determine the x component (in cm) of the centroid of the region below if a=14.6 cm, b=18.4cm and r=55cm. Do not round off in any intermediate steps. Express final answer in 5 SIGNIFICANT figures. No need to indicate the units. y Fotot -b...

1 answers

##### Two pure tones are sounded together. The periods of their pressure variations are 0.0267 s and...

Two pure tones are sounded together. The periods of their pressure variations are 0.0267 s and 0.0280 s, measured with respect to atmospheric pressure. What is the beat frequency?...

1 answers

##### Explain why the coefficient of thermal expansion for a solid vanishes at T=0.

Explain why the coefficient of thermal expansion for a solid vanishes at T=0....

1 answers

##### #41. Acetone, shown in the image below, is a laboratory solvent that is also commonly used...

#41. Acetone, shown in the image below, is a laboratory solvent that is also commonly used as nail polish remover. Answer the following questions about acetone in the essay blank below: a. If you spill some acetone on you hand, the spot will soon feel cold. Why? b. If you spill some acetone on a la...

1 answers

##### 6. A sample of employees in a certain company gives the following data about salaries. Answer...

6. A sample of employees in a certain company gives the following data about salaries. Answer the questions below based on this data set. $37,000 $95,000 $40,000 $39,750 $37,000 $38,600 (a) Calculate the mean. (b) Find the median. (c) Find the mode. (d) Which measure of central tendency you think be...

1 answers

##### Cardiovascular Drugs Part IIl Clopidogrel 4 Doxazosin A. CCB non-dihydropyridine B. CCB dihydropyridine C. beta blocker...

Cardiovascular Drugs Part IIl Clopidogrel 4 Doxazosin A. CCB non-dihydropyridine B. CCB dihydropyridine C. beta blocker D. ARB E. thiazide diuretic F. alpha blocker G. vasodilator H. cardiac glycoside I. anticoagulant J. Antiplatelet - Warfarin AHCTZ + Nitroglycerin *)Nifedipine \ Dilitiazem 4 Olmes...

1 answers

##### A monopolist has discovered that the inverse demand function of a person with income M for...

A monopolist has discovered that the inverse demand function of a person with income M for the monopolists product is p = 2M −q. The monopolist has a total cost function, c(q) = 100q. The monopolist is able to observe the incomes of its consumers and to practice price discrimination according ...

1 answers

##### Brown Cow Dairy uses the aging approach to estimate Bad Debt Expense. The balance of each...

Brown Cow Dairy uses the aging approach to estimate Bad Debt Expense. The balance of each account receivable is aged on the basis of three time periods as follows: () 1-30 days old, $11,900: (2) 31-90 days old, $4.900; and (3) more than 90 days old, $2.900. For each age group, the average loss rate ...