A geologist collected 5 specimens of limestone rock and 5 specimens of sandstone. A lab assistant...

A geologist collected 5 specimens of limestone rock and 5 specimens of sandstone. A lab assistant randomly selects 7 specimens for analysis. Let X = the number of sandstone samples that are selected.

a) What is the name of the distribution of X?

b) What is the probability that all specimens of one of the two types of rock are selected?

c) What is the probability that the number of sandstone specimens selected is within 1 standard deviation of its mean value?

Expert Solution

a.

X follows hypergeometric distribution with parameter N = 10, K = 5 and n = 7

Thus pmf of X is

b.

Probability that all specimens of one of the two types of rock are selected is zero. Because X take values from 2 to 5. For remaining values, probability is zero.

Logically, see there are only 5 specimens of sandstone and we have to select 7 specimens of sandstone, which is not possible. Hence probability of this event is zero.

c.

According to emperical rule, the probability that the number of sandstone specimens selected is within 1 standard deviation of its mean value is 0.68

orchestra answered 2 years ago

A geologist has collected 14 specimens of basaltic rock and 14 specimens of granite. The geologist...

A geologist has collected 14 specimens of basaltic rock and 14 specimens of granite. The geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis. (a) What is the pmf of the number of granite specimens selected for analysis? (Round your probabilities to four decimal places.) x p(x) (b) What is the probability that all specimens of one of the two types of rock...

A geologist finds that a Moon rock whose mass is 9.08 kgkg has an apparent mass...

A geologist finds that a Moon rock whose mass is 9.08 kgkg has an apparent mass of 6.06 kgkg when submerged in water. Part A What is the density of the rock? Express your answer to three significant figures and include the appropriate units.

A geologist collected 20 different ore samples, all of the same weight, and randomly divided them...

A geologist collected 20 different ore samples, all of the same weight, and randomly divided them into two groups. The titanium contents of the samples, found using two different methods, are listed in the table below. Method 1 Method 2 0.012 0.013 0.014 0.014 0.014 0.012 0.017 0.013 0.012 0.014 0.012 0.010 0.014 0.011 0.013 0.012 0.017 0.012 0.014 0.016 (a) Use an appropriate method to test for a significant difference in the average titanium contents using the two different...

Know how blood and lab specimens should be handled after collection

. A teaching assistant for Statistics course as a university collected data from students in her...

. A teaching assistant for Statistics course as a university collected data from students in her class to investigate whether study time per week (average number of hours) differed between students who planned to go to graduate school and those who did not. The data were as follows: Graduate school: 15, 7, 15, 10, 5, 5, 2, 3, 12, 16, 15, 37, 8, 14, 10, 18, 3, 25, 15, 5, 5 No graduate school: 6, 8, 15, 6, 5, 14,...

describe how the visual search lab is completed and the data collected

Titration for Acetic Acid in Vinegar – Lab Report Assistant Exercise 1: Determining the Concentration of...

Titration for Acetic Acid in Vinegar – Lab Report Assistant Exercise 1: Determining the Concentration of Acetic Acid Data Table 1. NaOH Titration Volume Initial NaOH Volume (mL) Final NaOH Volume (mL) Total volume of NaOH used (mL) Trial 1 5.2 2.3 2.9 Trial 2 6.2 3.9 2.9 Trial 3 7.2 4.9 2.9 Average Volume of NaOH Used (mL) : 2.9 Data Table 2. Concentration of CH3COOH in Vinegar Average volume of NaOH used (mL) Concentration CH3COOH in vinegar (mol/L)...

6.30 LAB*: Program: Authoring assistant (1) Prompt the user to enter a string of their choosing....

6.30 LAB*: Program: Authoring assistant (1) Prompt the user to enter a string of their choosing. Store the text in a string. Output the string. (1 pt) Ex: Enter a sample text: we'll continue our quest in space. there will be more shuttle flights and more shuttle crews and, yes; more volunteers, more civilians, more teachers in space. nothing ends here; our hopes and our journeys continue! You entered: we'll continue our quest in space. there will be more shuttle...

a) A data is collected from Lab A. Sample mean is 12, SD is 2.4 and...

a) A data is collected from Lab A. Sample mean is 12, SD is 2.4 and sample size if 16. Another set of data from Lab B have a mean of 10 (assuming SDB is also 2.4 and nB=16). If we choose α = 0.05, do you think mean of Lab B is close enough to be considered the “same” as that of Lab A? Why? b) Same as problem 4), except SD of Lab B is SDB=4.4. If we...

A) David, an undergraduate research assistant in our lab, performed Western Blotting experiment and he used...

A) David, an undergraduate research assistant in our lab, performed Western Blotting experiment and he used anti- Z protein polyclonal antibody raised in rabbit as a primary antibody. As a secondary antibody, he used anti-mouse HRP labeled antibody. Could you please tell him what is wrong with this experiment? B) David, an undergraduate intern in our lab, forget to block the blot with BSA and continue to the antibody hybridization steps and finally developed his blot. Could you please describe...

Question