In Siberia’s Taimyr Peninsula it is thought that there are a great number of mam- moth skeletons buried beneath the permafrost. One paleontologist estimates that the skeletons are Poissonally distributed with a mean of 5 skeletons per hectare. If her estimate is correct, find the following: (a) The probability that a randomly chosen hectare contains no skeletons. (b) The probability that a randomly chosen hectare contains less than 3 skeletons.

Q: in a certain region, the mean annual salary for electricians is $58,650. Let x be a random variable…

A: GivenMean(μ)=58650standard deviation(s)=1890sample size(n)=40

Q: The amount of a claim that a car insurance company pays out follows a normal distribution with mean…

A: Given: Population mean μ=1985 Population variance σ2=835 Let X ~ N (1985, 835)

Q: A. If one male passenger is randomly selected from the airliner, find the probability that he will…

A:

Q: Question 6 The height of girls follows a normal distribution with mean u = 170 cm and the variance…

A:

Q: and ind the probability that selected patient is less than 38.6 minutes. between taking a pain…

A: It is given that Mean, μ = 30 Standard deviation, σ = 4.2 Z-Score, Z = ( X - μ )/σ where, Z be the…

Q: Exercise 1: The weight of a random scone sold by your favorite bakery has a mean of 105g I a…

A: Given: μ = 105 σ = 5 Formula Used: Z-score= X-μσn

Q: If a male passenger is randomly​ selected, find the probability that he can fit through the doorway…

A: It is given that  Mean, μ = 69 Standard deviation, σ = 2.8

Q: find the probability that they have a mean pregnancy less than 265 days. find the probability that…

A: Let X denote the lengths of pregnancies. Given that X follows N(mean = 268, SD = 15) For the sample…

Q: The price to earnings ratio (P/E) is an important tool in financial work. A random sample of 14…

A: a)   Consider that the population mean P/E ratio of a certain stock index is μ.

Q: ssume that (Systolic) blood pressure in healthy adults has a normal distribution with mean 112 mmHg…

A: Given Information: Mean μ=112 mmHg Standard deviation σ=10 mmHg. (a) To find the probability that a…

Q: The Grand Canyon Skywalk is a viewing platform located 3,000 ft over the river in the base of…

A: Let X denote the  male adult weights and it follows normal distribution with mean of μ=182.9 and…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 45% of these…

A: The mean of the sampling distribution of the sample proportion. The standard deviation of the…

Q: Let XX represent the full height of a certain species of tree. Assume that XX has a normal…

A: We have given that X = 202.2 Mean = 216.7 And standard deviation = 6.6 We have to find out the value…

Q: rage life of a certain steel-belted radial tire is advertised as 60,000 miles. Assume that the life…

A: The corresponding z-value needed to be computed is:

Q: 3. Suppose the probability that you obtain a scholarship is 0.25. If th is 0.55, find the…

A: Given that  P(A ∩ B) =0.25 And P(B) =0.55 A=the college of your choice and obtain a scholarship is…

Q: Find the probability that 120 randomly selected adult males have a mean weight greater than 200 lbs.

A: It is given that the mean of the adult males is 182.9, the standard deviation is 40.8 and the sample…

Q: Assume that the life of a roller bearing follows a Weibull distribution with parameters β = 2 and δ…

A:

Q: According to a study, the time between taking a pain reliever and getting relief of a randomly…

A: Given that  Mean = 30, SD = 4.2, and sample size n = 38

Q: Given the following data for an imaginary ssuperhero universe: Flying Telepathy Super Strength…

A: According to the fundamental definition of probability, Probability=Favorable no. of outcomesTotal…

Q: Chapter 07, Section 7.4, Problem 041 X Your answer is incorrect. Try again. A machine at Katz Steel…

A: Let the random variable X be the length of nails. Given that the length of nails normally…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 60% of these…

A: It is given that  p = 60% = 0.60 n = 94 X ~ Bin( n = 94, p = 0.60 )

Q: ach month, the city of Accra generates an average of 28 pounds of waste. Assume the variable is…

A: To the probability of its generating between 27 and 31 pounds of waste per month and draw a normal…

Q: answer. The table is inserted. i. Find the standard deviation σ. [4] ii. When plants are chosen for…

A: Given Information Mean µ = 35 P(X>45) =0.05 P (Z > z) = 0.05 P(Z <z) = 1 – 0.05 =0.95 (i)…

Q: Suppose a nationwide study reports that the average price for a gallon of self-serve regular…

A: One-sample t-test : The one-sample t-test is used to compare mean with specified value when the…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 50% of these…

A: Given: n = 187 p = 0.50 q = 1-0.50 = 0.50 Formula used: Mean μ = np Standard deviation σ = npq

Q: parents are worried that their child s. To find out if there is a reason to ars old and asked them…

A: Given data, sample mean (x̄)  = 8.9 population mean (µ) = 8 sample size (n) = 100 sample standard…

Q: d) Find the probability that the average height of a random sample of 16 males will be less than…

A: Given that  Mean = 165 Standard deviation = 10

Q: Assume that women’s heights are normally distributed with a mean of 63.6 inches and a standard…

A:

Q: Parents are worried that their children are getting less than 8 hours of sleep due to the academic…

A:

Q: Answer ONLY parts D,E

A: Solution

Q: Consider the ski gondola from Question 3. Suppose engineers decide to reduce the risk of an overload…

A: To find the probability that a group of 15 randomly selected skiers will overload the gondola, we…

Q: 2. In a survey individuals arc asked to disclosc the number of tclevisions in their houschold. In…

A: Expectation of a Discrete Random Variable: The expectation of a discrete random variable X, denoted…

Q: Question 4 As a part of the productivity assessment at a company, the HR manager carried out a…

A: 4. Let X denote time spent at work per week. Given- X~N35, 4 a. To calculate P[X<40] CLT is used…

Q: 5) The sticker on Nestle's crunch bar reads 25 grams. Suppose that the probability distribution of…

A: Given Data Population Mean,μ = 26.0 Population Standard Deviation,σ = √2.5 =  1.5811

Q: QUESTION 4:   If the average yield of cucumber acre is 800 kg, with a variance 1600 kg, and that…

A:

Q: An automated machine in a manufacturing process is operating properly if the length of animportant…

A:

Q: A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.…

A: Note: As it is not logical that “the probability that x falls within + or -2 milligrams per…

Q: According to a study, the time between taking a pain reliever and getting relief of a randomly…

A: Obtain the probability that the average time between taking a pain reliever and getting relief for a…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.