5 The number of species of plants per square metre in a certain region of bush is 3.8 on average. (a) List the characteristics of this description that would lead you to model the number of species with a Poisson distribution. (b) What is the standard deviation of the number of species per square metre in that region? (c) Find the probability of finding no plants (of any type) in a square metre. (d) Find the probability of finding 10 or more species in a square metre.

Q: A study was conducted to measure the weights of the tilapia harvested from a particular cage far…

A: The weight are normally distributed with mean 370.2 with standard deviation μ=370.2σ=32.7

Q: 9) The weekly salaries of teachers in one state are normally distributed with a mean of $490 9) and…

A:

Q: The weight of all cars traveling on interstate highway I-84 is normally distributed with a mean of…

A: From the provided information,

Q: Question :The time taken by employees at Grace Floral shop to put a bouquet together has a normal…

A: The objective of this question is two-fold. First, we need to find the probability that an employee…

Q: 17.5.4 The failure time of a light bulb in days is modeled as a Weibull distribution with parameters…

A: a = 2.5 λ = 0.01

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

A: Finding the value of z at lowest 14-1.08032 ( From Excel =NORM.S.INV(0.14))Finding the value of z at…

Q: lecture(12.5):  The mean of the population is 50. The standard deviation is 10. If a person row…

A:

Q: You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the…

A: The objective of this question is to determine the optimal number of newspapers to buy each morning…

Q: Suppose z is a normal random variable. If you need to find P ( Z > 1.84 ), explain how to shade the…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ, where µ and σ are the mean…

Q: The lengths of lumber a machine cuts are normally distributed, with a mean of 96 inches and a…

A: Given,Mean, μ = 96 inches.Standard deviation, σ = 0.5 inch.Let X be a random variable represents the…

Q: Suppose a professor uses a normal distribution to assign grades in her math class. • She assigns an…

A: Given: z score Grade >2.2 A <-2 F 0.9 < z<2 B -1 < z< -0.8 D

Q: If the sampled tilapia number 500, how many of these are expected to weigh between 330 and 394…

A: Given that mu =370.2 , s.d = 32.7

Q: The time it takes to drive through the middle of campus follows a uniform distribution with a…

A:

Q: What is the mean of the geometric distribution given by

A: It is given that, X is a geometric variate with its pmf, P(x)=3-x = P(x)=(1/3)x ; x=0,1,2,.... We…

Q: he time it takes for a statistics professor to mark a single midterm test is normally distributed…

A: Given Data: μ=4.9σ=1.9   Using central limit theorem ∑X ~ Normal (n×μ, n×σ2)∑X ~ Normal (269.5,…

Q: n a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: 5. The average American adult eats an average of 6.5 gallons of ice cream per year. Assume the…

A: (5) X follows a Normal distribution with mean = 6.5 and S.D = 2.3 Then z=(x-mean)/SD =…

Q: Human body temperatures in degrees Fahrenheit have a distribution that assumed to be symmetric and…

A: given data  normal distribution μ = 98.6σ = 0.9 hypothermic : bottom 1 % fever : top 1.5%

Q: Physics students at a local university have designed a "hot dog gun" designed to shoot hot dogs into…

A: Let X: the distance it will shoot hot dogs. X is normally distributed.i.e. X~N(μ,σ2)where,…

Q: (c) What is the median failure time of a light bulb? (d) What is the hazard rate?

A: From the above given data the following solution is provided below:

Q: n the country of United States of Heightlandia, the height measurements of ten-year-old children are…

A: It is given that the mean is 54.6 and standard deviation is 1.5.

Q: Find the test statistic for this hypothesis test. | (Round to two decimal places as needed.)

A:

Q: How is the shape of the F distribution affected by the degrees of freedom?

A: Given data How is the shape of F distribution affected by the degrees of freedom

Q: Before using these variance estimates, what must we calculate?

A: Before using any variance estimate we should check whether it is biased or unbiased and calculate…

Q: The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation…

A: GivenMean(μ)=76standard deviation(σ)=6

Q: Find the indicated probability. 8) The volumes of soda in quart soda bottles are normally…

A: Given dataThe volumes of soda in a quart soda bottles are normally distributed with a mean of 32.3…

Q: (i) The life of a Sparky car battery is known to be normally distributed with a mean of 60 months…

A:

Q: The time it takes for a statistics professor to mark a single exam is normally distributed with a…

A:

Q: n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute).…

A: actual mean = 17.2ppm  standard deviation = 3.25ppm sample size = 12 The printing speed is actually…

Q: The mean time for a group of adults to complete a certain achievement test is 38.8 minutes and the…

A:

Q: A waitress keeps track of the tips she earns and knows that her mean tip is 15% with a standard…

A: We have been given that a waitress keeps a track of the tips that she earns and knows that her mean…

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: