Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year a. Find the probability that, in a year, there will be 6 hurricanes b. In a 55-year period, how many years are expected to have 6 humicanes? C. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here? . The probability is O (Round to three decimal places as needed) b. The expected number of years with 6 huricanes is (Round to one decimal place as needed) c. The result from part (b) i [ well in the given situation me number of huricanes in the recent period of 55 years, so the Poisson dstribution Oper to wat dose to doe very diferent trom does nat

Question
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year
a. Find the probability that, in a year, there will be 6 hurricanes
b. In a 55-year period, how many years are expected to have 6 humicanes?
C. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here?
. The probability is O
(Round to three decimal places as needed)
b. The expected number of years with 6 huricanes is
(Round to one decimal place as needed)
c. The result from part (b) i [
well in the given situation
me number of huricanes in the recent period of 55 years, so the Poisson dstribution
Oper to wat
dose to
doe
very diferent trom
does nat
Expand
Transcribed Image Text

Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.4 per year a. Find the probability that, in a year, there will be 6 hurricanes b. In a 55-year period, how many years are expected to have 6 humicanes? C. How does the result from part (b) compare to a recent period of 55 years in which 7 years had 6 hurricanes? Does the Poisson distribution work well here? . The probability is O (Round to three decimal places as needed) b. The expected number of years with 6 huricanes is (Round to one decimal place as needed) c. The result from part (b) i [ well in the given situation me number of huricanes in the recent period of 55 years, so the Poisson dstribution Oper to wat dose to doe very diferent trom does nat

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: A normal population distribution has a sample mean of u=65. What is the expected value of the mean i...

A: The objective is to find the expected value of the mean. From the available information ,  A normal ...

Q: Construct amount of tar and carbon monoxide (CO) in cigarettes. Use tar for the horizontal scale and...

A: In this case Tar is the independent variable and CO is the dependent variable. Enter the data in Exc...

Q: A population of values has a normal distribution with Mean = 211 and standard deviation = 75.8 a ran...

A: (A) The probability that a single randomly selected value is between 195.8 and 200.3 is 0.0236, whic...

Q: The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.96...

A: Let X denote the amounts of nicotine in a certain brand of cigarette are normally distributed with a...

Q: QUESTION 40 A small pilot study is run to compare a new drug for chronic pain to one that is cu...

A: The objective is to test whether the new drug shows a significant difference in self-reported improv...

Q: QUESTION 44 The table below summarizes baseline characteristics of patients participating in a ...

A: From the given summary results. At 5% level of significance, only "% Female" and "%with Diabetes" sh...

Q: How many ants will climb on a piece of a peanut butter sandwich left on the ground near an ant hill?...

A:   Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case ...

Q: For a population with a mean of u=50 and a standard deviation of o=10, compute the z-score n=16 stan...

A: The population has a mean 50 and standard deviation 10. That is, The zscore for n=16 with standard ...

Q: QUESTION 42 What is the appropriate statistical test to assess whether there is an association ...

A: Chi-square test of independence:   A single simple random sampling is done with each individual bein...

Q: Employer-based health insuranceA report from a Gallup poll1 in 2011 started by saying, "Forty-five p...

A: From the provided information, Forty-five percent of American adults reported getting their health i...

Q: The gasoline price often varies a great deal across different regions across country X. The followin...

A: Objective: To test is there any significant difference in the mean price of gasoline for the three b...

Q: From generation to generation, the mean age when smokers first start to smoke varies. A survey of 20...

A: Given Information :  From generation to generation, the mean age when smokers first start to smoke v...

Q: The probability is (Round to four decimal places as needed.)

A: In this case, there are two possible outcomes for each trial, classified as a success (Use of phone)...

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally...

A:  

Q: Is is decreasing for E

A: According to the scenario, The given graph shows the number of friends for a group of women and men ...

Q: A stick of unit length is broken into two pieces. Find the expected ratio of the length of the longe...

A: Click to see the answer

Q: QUESTION 38 An analysis is conducted to compare mean time to pain relief (measured in minutes) ...

A: The overall mean is, x¯¯=n1x¯1+n2x¯2+n3x¯3+n4x¯4n1+n2+n3+n4=5×33.8+5×27.0+5×50.8+5×39.65+5+5+5=75620...

Q: 3) You go out and collect the following estimates of earthworms / acre: 54,276 57,378 51,108 66,190 ...

A: Click to see the answer

Q: A survey has been projected to determine average annual medical expensesby family of employees of a ...

A: Given that, The company management wants to have 95% confidence that the sample mean is correct on a...

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard...

A: Given: 2.2​% of the thermometers are rejected because they have readings that are too high and anoth...

Q: Listed below are amounts (in millions of dollars) collected from parking meters by a security servic...

A: I will use excel to solve this problem. https://drive.google.com/file/d/13ALJpGYYbG5rpPHdyHDQVGS...

Q: Graeter’s is thinking about expanding its ice cream flavors. They have created three new flavors of ...

A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any ...

Q: Different hotels in a certain area are randomly​ selected, and their ratings and prices were obtaine...

A: The equation of the regression line is: ^y= -370 + 140x where , ^y = dependent variable x = independ...

Q: Closing price of two stocks are recorded for 50 days. The sample standard deviation of stock X is 7....

A: Given information- Sample Standard Deviation of Stock X = Sx = 7.240 Sample Standard Deviation of St...

Q: A normal distribution has a mean of  μ = 54 and a standard deviation of  σ =6 What is the probabilit...

A: Given information- Population mean, µ = 54 Population standard deviation, σ = 6 Sample size, n = 36 ...

Q: 3. We consider tossing a coin four times:  a. How many outcomes this experiment has? b. Draw the tre...

A: Given, a coin is tossed four times. a).Therefore the total number of possible  outcome is 24=16 b).T...

Q: 1 There is a provide an estimate of the population mean GMAT score that is within +/-10 of the actua...

A: Since, you have posted a question with multiple subparts, we would solve first three parts, If you w...

Q: QUESTION 39 A small pilot study is conducted to investigate the effect of a nutritional supplem...

A: Consider that µD is the mean difference of initial body weight and weight after 6 weeks. That is, µD...

Q: Suppose 218 subjects are treated with a drug that is used to treat pain and 54 of them developed nau...

A: From the given information, the required hypothesis will be given by as follows: H0:p=0.20H1:p≠0.20p...

Q: Historically, heights of women have a bell-shaped with a mean of 162 cm and a standard deviation of ...

A: Given that, Historically, heights of women have a bell-shaped with a mean of 162 cm and a standard d...

Q: For a population with a mean of μ= 50 and a standard  deviation of σ= 10, compute the standard error...

A: Hi, Since, your question has more than 3 parts, we have solved only the first three subparts for you...

Q: If the probability of snow on Tuesday is 0.125, then the odds of snow on Tuesday can be given as

A: Click to see the answer

Q: Twenty-five percent of all automobiles undergoing an emissions inspection at a certain inspection st...

A: Let us consider success as the event that the car fail the inspection. Then, p=p(Success)=0.25. Let ...

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone densi...

A: Click to see the answer

Q: It is believed that the electrical energy that a chemical plant consumes each month is related to th...

A: In this case Average ambient temperature, Number of days of the month, Average product purity, Tons ...

Q: a Leche League International reports that the mean age of weaning a child from breastfeeding is age ...

A: Given data: A random survey contains n = 21 U.S. mothers who recently weaned their children. Sample ...

Q: 1. A normal population distribution has a sample mean of u = 65. What is the expected value of the m...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Use z scores to compare the given values. Based on sample data, newborn males have weights with a me...

A: Mean(male)=3248.9Standard deviation(male)=658.2Mean(Female)=3021.3Standard deviation(Female)=680.9

Q: For a normal distribution, find the z-score location that divides the distribution as follows:   S...

A: Given, Standard normal distribution means normal distribution with mean 0 and standard deviation 1.

Q: Testing to see if there is evidence that a mean is less than 50.

A: It is given that the claim is that there is evidence that a mean less than 50.

Q: For random samples of size n = 25 selected from a normal distribution with a mean of mean of μ = 50 ...

A:   Let X follows normal distribution with a mean of mean of μ = 50 and a standard deviation of σ = 20...

Q: On a recent biology quiz, the class mean was 18 with a standard deviation of 2.5. a. Calculate the z...

A:   The formula for the z-score is, a. Calculate the z-score (to 4 decimal places) for a person who r...

Q: listed below are numbers of Internet users per 100 people and numbers of scientific award winners pe...

A: Given data shows numbers of Internet users per 100 people and numbers of scientific award winners pe...

Q: In a certain species of newt, offspring are born either green or black. Suppose that 65% of these ne...

A: Click to see the answer

Q: If P(E) = 0.40, P(E or F) = 0.45, and P(E and F)=D0.10, find P(F). P(F) =(Simplify your answer.)

A: Let A and B be the two events, the probability of union formula is, PA∪B=PA+PB-PA∩B The given probab...

Q: Please answer D :)

A: Here, n = 39 and p = 0.82

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores a...

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 X~N (100, 15) The shaded a...

Q: A car manufacturer asserts that with the new collapsible bumper system, the mean body repair cost fo...

A: Given data: The mean body repair cost for the damage sustained in a collision impact of 15 miles per...

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone...

A: Here, the test is one-tailed.

Q: The “Descriptive Statistics” function in Excel …     calculates the confidence level using bot...

A: The descriptive statistics measure can be obtained from excel spreadsheet formula is given below,