Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 5.2 per year.   a. Find the probability​ that, in a​ year, there will be 4 hurricanes. b. In a 55​-year ​period, how many years are expected to have 4 ​hurricanes? c. How does the result from part​ (b) compare to a recent period of 55 years in which 9 years had 4 ​hurricanes? Does the Poisson distribution work well​ here?

Q: In 1898, L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data…

A:

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: For any distribution, what is the z-score corresponding to the mean? 01 ON This is impossible to…

A:

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: Which of the following is NOT an assumption of the Binomial distribution?

A: here use basic of binomial distribution

Q: Suppose that 35%  of all adults in a population would say “good”  and 65% would say “bad”  if they…

A: As per the question35% population say good65% population say badMean of the ample proportion who say…

Q: Again assuming a normal distribution, estimate thestrength value below which 95% of all welds will…

A: Note: Thank you for the question. It is assumed that the given information is as follows: The data…

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: of the following distribution. Cumulative % Undersize Size

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Use the information below to answer Question 12 and Question 13. People arrive at a checkout in a…

A:

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A: suppose Z follows the standard normal distribution.Z~N(μ,σ)where μ=0  and σ=1

Q: On a certain rural fence,the number of birds sitting on the fence is nine per mile. What is the…

A: It is given in the question that number of birds sitting on the fence is 9 per mile. And the…

Q: Researchers have often noted increases in violent crimes when it is very hot. In fact, Reifman,…

A:

Q: •2. The relative frequency distribution of the number of TVs sold in a day in a department store in…

A: We are given the following information:Number of TV sold xProbability P(x)00.110.1520.4530.240.1

Q: hich of the following is most likely to be close to a normal distribution, and why? A. The number…

A: To determine the most likely to be close to a normal distribution

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: The following table gives the scores of 30 students in a mathematics examination: Scores 90-99 50-59…

A: The formula for mean and standard deviation is given by,

Q: Which of the following is an appropriate description of the chi-square distribution? A) A…

A: Chi-square distribution: Chi-square distribution is the square of difference between the observed…

Q: Suppose monthly rental prices for a one-bedroom apartment in a large city has a distribution that is…

A: The normal distribution is the most useful theoretical distribution for continuous variables.  For…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given: p=0.61q=1-p=1-0.61=0.39n=68 X=Victims did not know their murderers X~Binomn=68, p=0.61

Q: The accounting department at Weston Materials, Inc., a national manufacturter of unattached garages,…

A:

Q: At the 0.10 level of significance, can we conclude that the following 400 observations follow a…

A: Given, λ=3α=0.10 The hypothesis to be tested here is- H0:The obervation follow a poisson…

Q: Fit a Poisson distribution for the following data: 5. 678 45 4. X: Y: 60 16O 3. 136 96 41 26 8 Also…

A: A discreate random variable X is said to follow Poisson distribution with parameter , if it’s…

Q: Suppose that the value of a stock varies each day from $9.82 to $17.17 with a uniform distribution.…

A: Solution: Given Distribution is X~U(9.82,17.17)

Q: If ‘λ’ is the mean of Poisson Distribution, the P(0) is given by ___________ a) e − λ b) e λ c) e d)…

A: Solution: Let X be the Poisson random variable. From the given information, X follows Poisson…

Q: on a particular Saturday. On a typical Saturday, how many cars does he expect to sell? What is the…

A: Here , we want to find the following :  a) How many cars does he expect to sell b) Variance

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A: Given: Z follows a standard normal distribution That is, Z~N0,1

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

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

Q: IF babies Neighto are normally distributed with a mean ot 3.23ky and a standard deviantion of 0.87kg…

A:

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given,n=64p=0.6q=1-pq=1-0.6=0.4np=64×0.6=38.4≥5nq=64×0.4=25.6≥5Therefore we can use normal…

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: Fit a Poisson distribution to calculate the theoretical frequencies for the following data.

A:

Q: For standard normally distribution, if the arithmetic mean is 80 and standard deviation is 46, the…

A: Given,mean(μ)=80standard deviation(σ)=46

Q: 1 The average life of a certain type of electric bulb is 1200 hours. What percentage of this type of…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: A survey of the mean number of cents off that coupons give was conducted by randomly surveying one…

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

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: From the provided information, 60% of people who are murdered actually knew the person who committed…

Q: 2. Which of the following graphs represent a normal distribution?

A: Here use basic graph properties for normal curve

Q: The following are graphs of normal distributions with standard deviation 1. Match them to the…

A: Refer Standard normal table/Z-table OR use excel formula "=NORM.S.DIST(1, TRUE)" to find the…

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: Below, the 31-year maximum significant wave heights are classified. The arithmetic mean of the…

A: Given: X = 0.88 σ = 0.06 α = 0.05 N = 2+7+12+4+5+1 = 31 Formula Used: 2 Sigma limit = X±2σ

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A:

Q: According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college…

A:

Q: If a distribution of data follows a normal distribution, we would expect that the __________, and…

A: If a distribution of data follows a normal distribution, we would expect that the Mean median and…

Q: If numerous samples of N = 15 are taken from a uniform distribution and a relative frequency…

A:

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: According to the N.Y. Times Almanac the mean family size in the U.S. is 3.18. A sample of a college…

A: Given information, Population mean μ = 3.18Significance level, α = 0.05

Q: The following frequency table shows the results for the number of times a week a person reads a…

A: Here we are given the data for the number of times a week a person reads a daily newspaper for a…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.