The concentration of particles in a suspension is 35 per mL.a. What is the probability that a 2mL sample will contain more than 60 particles?b. Ten 2mL samples are drawn. What is the probability that at least 8 of them contain more than 60particles?c. One thousand 2mL samples are drawn. What is the probability that at least 800 of them containmore than 60 particles?

Answered: Image /qna-images/answer/7f265458-7937-41b5-81b9-f832eb8a012a.jpg

Answered: The concentration of particles in a…

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...

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1. Consider a 12-sided die. Assume that each of the sides has the same probability of showing up and that the die cannot land on an edge. 1a. Compute the probability that the number of pips shown on the die face is odd, or greater than 5. Justify your answer. 16. Are the events "the number of pips shown on the die face is odd" and "the number of pips shown on the die face is greater than 5" independent? Answer yes or no and justify. (edited)
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births. (Type an integer or a decimal. Do not round.)
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? A. The result from part a, since it is the exact probability being asked. B. The result from part b, since it is the probability of the given or more extreme result. C. The result from part a, since it less than the probability of the given or more extreme result. D. The result from part b, since it is the complement of the result of part a. d. Is 6 a significantly high number of girls…
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The height of a randomly selected giraffe c. The eye color of people on commercial aircraft flights d. The number of free-throw attempts before the first shot is made e. The amount of rain in City B during April f. The number of hits to a website in a day a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable. b. Is the height of a randomly selected giraffe a discrete random variable, a continuous random variable, or not a random variable? A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable c. Is the eye color of people on commercial aircraft flights a discrete random…
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. C a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part a, since it less than the probability of the given or more extreme result. O B. The result from part a, since it is the exact probability being asked. O C. The result from part b, since it is the complement of the result of part a O D. The result from part b, since it is the probability of the given or more extreme result. d. Is 6 a significantly high number…
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part b, since it is the probability of the given or more extreme result. O B. The result from part a, since it less than the probability of the given or more extreme result. O C. The result from part b, since it is the complement of the result of part a. O D. The result from part a, since it is the exact probability being asked. d. Is 6 a significantly high…
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? A. The result from part b, since it is the complement of the result of part a. B. The result from part a, since it is the exact probability being asked. C. The result from part a, since it less than the probability of the given or more extreme result. D. The result from part b, since it is the probability of the given or more extreme result. d. Is 6 a significantly high number of girls…
A typical fuel tanker can carry up to 40,000 L of fuel and can be loaded in about 20 minutes. The shift supervisor comes to check on one of the tankers, not knowing how much time is left in the fill process. a. What is the probability that there is less than 5,000 L remaining? b. What is the probability that there is between 15,000 L and 25,000 L of fuel remaining? c. What volume of fuel would the shift supervisor expect the tanker to contain? L
The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? *** O A. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. OB. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. OC. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the…
What is the appropriate formula?
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The time required to download a file from the Internet b. The number of fish caught during a fishing tournament c. The response to the survey question "Did you smoke in the last week?" d. The distance a baseball travels in the air after being hit e. The number of hits to a website in a day f. The time it takes for a light bulb to burn out a. Is the time required to download a file from the Internet a discrete random variable, a continuous random variable, or not a random variable? C O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable. b. Is the number of fish caught during a fishing tournament discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable. O C. It is not a random variable c. Is the response to the…
67% of LaGuardia students are female. A random sample of 6 students is to be selected. Let the random variable X be the number of female students in a sample. a. What is the probability that out of 6 randomly selected students at most 2 are male? b. Find the average number of female students per sample if a large number of random samples of 20 students were selected.

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