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The web logs of a certain website show that the average number of hits in an...
Someone claims that the number of hits on his website has a Poisson distribution with mean...
Someone claims that the number of hits on his website has a Poisson distribution with mean three per half an hour. We would like to observe the website statistics during a period of two hours to figure out the number of hits during this period a)Define the random variable of interest, its support, and parameter values over this period b)What is the probability that number of hits will be at least 10 over this period
Mark noticed that the probability that a certain player hits a home run in a single...
Mark noticed that the probability that a certain player hits a home run in a single game is 0.175. Mark is interested in the variability of the number of home runs if this player plays 200 games. If Mark uses the normal approximation of the binomial distribution to model the number of home runs, what is the standard deviation for a total of 200 games? Answer choices are rounded to the hundredths place.
The number of hits to a Web site follows a Poisson process. Hits occur at the...
The number of hits to a Web site follows a Poisson process. Hits occur at the rate of 1.8 per minute between 7:00 P.M. and 12:00 P.M. Given that x hits to the Web site between 9: 46 P.M. and 9:51 P.M 25. Compute the probability of x is fewer than seven. 26. Compute the probability of x is more than seven For the past 108 years, a certain state suffered 23 direct hits from major (category 3 to 5)...
Exercises O A random sample of weekly work logs at an automobile repair station was obtained,...
Exercises O A random sample of weekly work logs at an automobile repair station was obtained, and the average number of customers per day was recorded. TS PRINT (a) Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. (b) Determine the mean and standard deviation of the sample data. (c) Using the mean and standard deviation obtained in part (b) as estimates for the population mean and population...
The batting average of a baseball player is the number of “hits” divided by the number of “at-bats.” Recently, a certain...
The batting average of a baseball player is the number of “hits”
divided by the number of “at-bats.” Recently, a certain major
league player’s at-bats and corresponding hits were recorded for
200 consecutive games. The consecutive games span more than one
season. Since each game is different, the number of at-bats and
hits both vary. For this particular player, there were from zero to
five at-bats. Thus, one can sort the 200 games into six
categories:
0 at-bats
1 at-bat...
1. A certain type of radio tubes lasts on the average of 2 years with the...
1. A certain type of radio tubes lasts on the average of 2 years with the standard deviation of 0.4 year. Assuming that the radio tubes are normally distributed. Find the probability that given tubes will last less than 1.5 years. Two hundred college freshmen have their grades in the normal distribution with the mean of 2.2 and standard deviation of 0.6. How many of these freshmen have their grades between 2.0 and 2.5 inclusive? Suppose that in an examination,...
The number of visits to a website follows a poisson distribution with an average of 90...
The number of visits to a website follows a poisson distribution with an average of 90 per hour. What is the probability that there will be at least 2 visits in one minute? What is the probability that the time between successive visits will be less than 0.5 minutes?
IV. Continuous Distribution: Normal Normal 1. The average time to complete a final exam in a...
IV. Continuous Distribution: Normal Normal 1. The average time to complete a final exam in a given course is normally distributed. With average of 80 min, and standard deviation of 8 minutes. For a certain student taken at random: to. What is the probability of finishing the exam in an hour or less? b. What is the probability of finishing the exam between 60 min and 70 min? Exponential 2. The time to fail in hours of a laser beam...
Solve the problem. 11) The amount of snowfall falling in a certain mountain range is normally...
Solve the problem. 11) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 100 inches, and a standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 102.8 inches? Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. 12) A multiple choice test consists of 60 questions. Each question has 4 possible answers of...
The ASVAB scores for Marines joining the Marine Corps are normally distributed with mean 75 and...
The ASVAB scores for Marines joining the Marine Corps are normally distributed with mean 75 and standard deviation 10. a) State what the random variable represents in this problem (i.e. Let random variable X denote….). b) What are the parameters needed to use this distribution, and what are the values (i.e. mu = …)? c) What fraction of the scores are between 80 and 90? Write a probability statement and solve (you can use Excel). d) What is the 90th...
The number of hits to a Web site follows a Poisson process. Hits occur at the rate of 1.8 per minute between 7:00 P.M. and 12:00 P.M. Given that x hits to the Web site between 9: 46 P.M. and 9:51 P.M 25. Compute the probability of x is fewer than seven. 26. Compute the probability of x is more than seven For the past 108 years, a certain state suffered 23 direct hits from major (category 3 to 5)...
Exercises O A random sample of weekly work logs at an automobile repair station was obtained, and the average number of customers per day was recorded. TS PRINT (a) Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. (b) Determine the mean and standard deviation of the sample data. (c) Using the mean and standard deviation obtained in part (b) as estimates for the population mean and population...
The batting average of a baseball player is the number of “hits”
divided by the number of “at-bats.” Recently, a certain major
league player’s at-bats and corresponding hits were recorded for
200 consecutive games. The consecutive games span more than one
season. Since each game is different, the number of at-bats and
hits both vary. For this particular player, there were from zero to
five at-bats. Thus, one can sort the 200 games into six
categories:
0 at-bats
1 at-bat...
Solve the problem. 11) The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 100 inches, and a standard deviation of 16 inches. What is the probability that the mean annual snowfall during 64 randomly picked years will exceed 102.8 inches? Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. 12) A multiple choice test consists of 60 questions. Each question has 4 possible answers of...
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