1)30% of flowers of a certain species bloom early (before May 1st). You work for an arboretum and have a display of these flowers.In a row of flowers, what is the probability that you will observe more than 4 flowers before you see the first one that blooms early? Round your answer to four decimal place thanks for your helpIThe average amount of money spent for lunch per personn the college cafeteria is $6.2 and the standard deviation is$2.9. Suppose that 18 randomly selected lunch patrons aresbserved, Assume the distribution of money spent is normal,nd round all answers to 4 decimal places where possible.a. For a single randomly selected lunch patron, find theprobability that this patron's lunch cost is between$5.8 and $6.46.b. For the group of 18 patrons, find the probability thatthe average lunch cost is between $5.88 and S6..c. For part b, ts the assumption that the distribution isnormal necessary? Yesio2yThe average number of miles (in thousands) that acar's tire will function before needing replacement is59 and the standard deviation is 12.Suppose that 15 randomly selected tires are tested.Round all answers to 4 decimal places wherepossible and assume a normal distribution.a. If a randomly selected individual tire is tested, findthe probability that the number of miles (inthousands) before it will need replacement isbetween 65.7 and 67,4.farb. For the 15 tires tested, find the probability that theaverage miles (in thousands) before need ofreplacement is between 65.7 and 674.c. For part b, is the assumption that the distribution isnormal necessary Noves3YThe amount of syrup that people put on theirpancakes is normally distributed with mean 60 mland standard deviation 12 ml. Suppose that 49randomly selected people are observed pouringsyrup on their pancakes. Round all answers to 4decimal places where possible.a. If a single randomly selected individual is observedfind the probability that this person consumes isbetween 58.7 ml and 61 mlb. For the group of 49 pancake eaters, find theprobability that the average amount of syrup isbetween 58.7 ml and 61 mL.c. For part b, is the assumption that the distribution isnormal necessary YesNoThe average price of a college math textbook is$177 and the standard deviation is $20. Suppose that44 textbooks are randomly chosen. Round allanswers to 4 decimal places where possible.a. For the group of 44, find the probability that theaverage price is between $172 and $176.b. Find the third quartile for the average textbook pricefor this sample stize. S (round to the nearest cent)c. For part a, is the assumption that the distribution isnormal necessary Yesto5yThe lengths of adult males' hands are normallyistributed with mean 195 mm and standarddeviation is 7.2 mm. Suppose that 43 individuals arerandomly chosen.a. For the group of 43, find the probability that theaverage hand length is more than 196. Round youranswer to 4 decimal places.b. Find the third quartile for the average adult malehand length for this sample size. Round your answerto 3 decimal placese. For part a, is the assumption that the distribution isnormal necessary? NovesbiSuppose the age that children learn to walk ishormally distributed with mean 12 months andstandard deviation 2.2 month.34 randomly selected people were asked what agethey learned to walk. Round all answers to 4 decimalplaces where possible.a. What is the probability that one randomly selectedperson learned to walk when the person was between11.7 and 12.5 months old?b. For the 34 people, find the probability that theaverage age that they leaned to walk is between11.7 and 12.5 months old.c. For part b, is the assumption that the distribution isnormal necessary Yeshod. Find the QR for the average first time walking age forgroups of 34 people. Round to two decimal places.QI- monthsQ3- monthsKOR: month7IThe amount of coffee that people drink per day isnormally distributed with a mean ofstandard deviation of 4 ounces. 9 randomly selectedpeople are surveyed. Round all arswers to 4 decimalplaces where possible.f.14 ounces and aa. What is the probability that one randomlyselected person drinks between 12.5 and 14.5ounces of coffee per dayb. For the 9 people, find the probability that theaverage coffee consumption is between 12.5and 14.5 ounces of coffee per day.c. For part b, is the assumption that thedistribution is normal necessary? NoYesd. Find the IQR for the average of 9 coffeedrinkers. Round to two decimal places.Q1- ouncesQ3- ounces

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30% of flowers of a certain species bloom early (before May 1st). You work for an arboretum and have a display of these flowers.In a row of flowers, what is the probability that you will observe more than 4 flowers before you see the first one that blooms early? Round your answer to four decimal place

30% of flowers of a certain species bloom early (before May 1st). You work for an arboretum and have a display of these flowers.In a row of flowers, what is the probability that you will observe more than 4 flowers before you see the first one that blooms early? Round your answer to four decimal place

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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