A tidal wave or tsunami is usually the result of an earthquake in the Pacific Rim, often 1000 or more miles from Hawaii. Tsunamis are rare but dangerous. Many tsunamis are small and do little damage. However, a tsunami nine meters or higher is very dangerous. Civil Defense authorities sound an alarm telling people near the beach to go to higher ground. About 30% of all recorded tsunamis have been nine meters or higher.† You are writing a report about nine recent earthquakes in the Pacific Rim and you want to include a brief statistical profile of some possible events regarding tsunamis in Hawaii. Let r be the number of tsunamis nine meters or higher resulting from nine randomly chosen earthquakes in the Pacific Rim.
(b) What is the probability none of the tsunamis are nine meters or higher? (Round your answer to three decimal places.)
(c) What is the probability at least one is nine meters or higher? (Round your answer to three decimal places.)
(d) What is the expected number of tsunamis nine meters or
higher? (Round your answer to two decimal places.)
(e) What is the standard deviation of the r-probability
distribution? (Round your answer to three decimal
places.)
This will be a binomial distribution with parameters:
n = 9, p = 0.30
Hence,
b) P(None) = (1 - 0.30)9 = 0.040
c) P(At least one) = 1 - P(None) = 1 - 0.040 = 0.960
d) Expected number = np = 9*0.30 = 2.70
e) Standard deviation =
= 1.375
A tidal wave or tsunami is usually the result of an earthquake in the Pacific Rim,...
A tidal wave or tsunami is usually the result of an earthquake in the Pacific Rim, often 1000 or more miles from Hawaii. Tsunamis are rare but dangerous. Many tsunamis are small and do little damage. However, a tsunami nine meters or higher is very dangerous Civil Defense authorities sound an alarm telling people near the beach to go to higher ground. About 30% of all recorded tsunamis have been nne meters or higher t You are writing a report...
1 of 2) Calculate the speed, C, (in meters per second) of a tsunami with a wavelength of 180,000 meters (180 kilometers or112 miles) and period of 15 minutes traveling over the Pacific (which has an average depth of 4000 meters (4 kilometers or 2.5 miles). Round up your answer so that there is no decimal. Note that the answer is not 200 m/s as it is incorrect 2 of 2) Using the speed of the tsunami that you calculated...
the strongest recorded earthquake was in China in 1960 and had
an intensity of 316227.77cm. what is its magnitude
Many of the strongest earthquakes in the world take place off the
coast of Alaska in the andreanof islands or in price william sound.
in 1957, a 9.1 magnitude earthquake hit this area. what was The
intensity of the earthquake
webassign.net 4. 0/1 POINTS | PREVIOUS ANSWERS CLARKBIALG1 13.6.014. MY NOTES ASK YOUR TEACHER The strongest recorded earthquake was in Chile...
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Some parts of California are particularly earthquake prone. Suppose that in one metropolitan area, the chance a homeowner is insured against an earthquake is 0.30, A sample of four homeowners are to be selected at random. Suppose X is a random variable that is modeled by a binomial distribution which describes the number of homeowners out of the four that have earthquake insurance. (a) Find the probability mass function of X. (Round your answers to four decimal places.)...
In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.† You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent nine shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of nine shark attacks. (a) Make a histogram for the probability distribution of r....
tn Hawaii shark attacks sre very rare. Prthermore, "bekR SS% of shark attacks ore won, ba not include brie, statistical profte regarding the most recent rine 'hark "etsek. ofwMh wee nothtal. เฮ , be the ettacks (a) Make a histogram for the probability distribution of r 030 030 0 25 0.20 ois 010 25 015 005 0 25 0 20 015 25 0 20 0.15 ถเอ 0 05 005 (b) What is the probability all nine shark attacks are nonfatal?...
A data set lists earthquake depths. The summary statistics are n=500, x=6.86 km, s=4.76 km. Use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 6.00. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? A. H0: μ=6.00 km H1:...
In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.† You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent eight shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of eight shark attacks. (a) Make a histogram for the probability distribution of r....
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 se EEE Click the icon to view the table. Ho 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 giris in 8 births 5/ Type...
In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.t You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent seven shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of seven shark attacks (a) Make a histogram for the probability distribution of r...