Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small village, about 79% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, .. represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) P(n) = P(1-p)n-1 (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = .790 P(2) = 166 P(3) = II 035 %3D (c) Compute the probability that n 2 4. Hint: P(n 2 4) = 1 – P(n = 1) – P(n = 2) – P(n = 3). (Enter a number. Round your answer to three decimal places.) 009 (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use u for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents Need Help? Read It Talk to a Tutor Submit Assignment Home My Assignments Extension Request 6:30 AM 12/23/2019 DELL Delete Insert PrtScr F12 F11 F10 F9 F8 F7 F6 F5 F4 F3 F2 Esc F1 Backspace & $ 23 8 5 4 2 T R E Tab K н G Lock

Q: In a population of 1000, 200 have disease X. For a sample of size 16, what is the probability that…

A: Given that in a population of 1000, 200 have the disease. This means the population mean=…

Q: A test for a certain disease takes anywhere from 1 minute to 10 minutes to administer. If the time…

A: From the given information, let X be the test time for the administer to identify the disease. Here,…

Q: Face Mask Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a face mask…

A: Given :

Q: Suppose that the wait time for a cab can be modeled with a uniform random variable between 0 and 12…

A: Let X denotes the waiting time for a cab can be model with uniform random variable between 0 and 12…

Q: The National Weather Service has the following model for the random variable X = the number of…

A: X is the number of hurricanes that hit North Caroline in a year.

Q: Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0.2…

A:

Q: An assembly line, based on past production, has a 2% defective rate. A random sample of 800…

A: Given that n=800 p=0.02 q=1-p =1-0.02 =0.98

Q: 125 heads. We wish to find how significant is this evidence against equal probabilities.

A: Given, Sample Size, n = 300Number of success, x = 125 Significance level, α = 0.05 (choose default…

Q: Assuming that the random variable X follows the binomial probability function.  Assuming there are…

A: (a). Obtain the probability that a randomly selected couple has all the given characteristics: The…

Q: First, you must roll a die 20 times and record the results. (a) When you roll a die once- what are…

A: a). The outcomes are, {1,2,3,4,5,6}

Q: A diagnostic test for disease X correctly identifies the disease 91% of the time. False positives…

A: Given data A diagnostic test for disease X correctly identifies 91% of the time. The false positive…

Q: A Food Marketing Institute found that 31% of households spend more than $125 a week on groceries.…

A:

Q: Based on historical data, your manager believes that 33% of the company's orders come from…

A: Given: n= Sample size =52p= Probability of population proportion of orders from first time…

Q: Canada has two official languages, English and French. Choose a Canadian at random and ask, "What is…

A: The tables shows the distribution of responses, combining many separate languages. The probability…

Q: About 13% employed adults in the US held multiple jobs. Random sample of 74 employed adults is…

A: Given, About 13% employed adults in the US held multiple jobs. Random sample of 74 employed adults…

Q: Medical records show that 71% of eligible adults are vaccinated. In a sample of 200, 150 said that…

A: We have to find out given probabiity..

Q: The probability that fewer than 13 enroll in college is 1 Part: 3/4 Part 4 of 4 X (d) Using a cutoff…

A: Here the given information is College bound: A national college researcher reported that 68% of…

Q: According to the American Red Cross, 8% of all Connecticut residents have type B blood. A random…

A: Let X be the number of CT residents who have type B blood which follows binomial distribution. Here,…

Q: A Food Marketing Institute found that 28% of households spend more than $125 a week on groceries.…

A: given data  p (spend more than $125) = p = 0.28 n = 235 P(p^<0.31) = ?

Q: A blue die and a red die are rolled. Both are fair, six-sided dice. probability that value on the…

A: Blue die = 6 sided face  Red die = 6 sided face Total number of dice = 2    Total number of possible…

Q: A University claims that 80% of its basketball players get degrees. An investigation examined 20…

A: Since you have posted multiple sub-parts of  question , we will solve first three sub-part of…

Q: A DVD rental store wants to know what proportion of its customers are under age 21. A simple random…

A: Given, p = 0.60 n = 600 Let p^ be the sample proportion

Q: What is the two-tailed probability value testing the null hypothesis that the population mean is 0?…

A:

Q: College bound: A national college researcher reported that 68% of students who graduated from high…

A: Given that sample size =31 Probability of success=0.68 Let X denotes the number of students…

Q: Explain why ? can be treated as a binomial random variable. What is the probability that at least…

A: Introduction: The following are the general characteristics of a binomial distribution: Number of…

Q: A study showed that the sex ratio of children born to families in a native community of Ontario…

A: A study showed that the sex ratio of children born to families . Given: A news paper report about…

Q: A Food Marketing Institute found that 34% of households spend more than $125 a week on groceries.…

A: From the provided information, Population proportion (p) = 0.34 Sample size (n) = 140

Q: The following students are enrolled in a course in forensics. They are listed along with their year…

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

Q: 1,000 randomly selected business executives were polled. Assume that 25 percent of all business…

A: Answer:In this question, it has given thatX ~ Bin(1000,0.25)Calculation of mean and variance :Mean =…

Q: probability

A: Consider the following events, According to the given problem,

Q: ou sample a random observation of a Poisson distributed random variable with expected value 1. The…

A: It is given that the number of the toss of a fair coin is the observation or random variable that is…

Q: The probability that a hockeyteam scores a total of 1 goal in a game is 0.124; 2 goals, 0.297; 3…

A:

Q: A diagnostic test for disease X correctly identifies the disease 89% of the time. False positives…

A: Obtain the percentage chance that the test will be positive. The percentage chance that the test…

Q: In a recent survey, 70% of management executives thought that it should be  mandatory for business…

A: Solution: Let X be the number of students has not mandatory for business  to take a quantitative…

Q: According to a survey, 30% of college students said that they spend too much time on Facebook.…

A: INTRODUCTION :  BINOMIAL DISTRIBUTION: It is a discrete probability distribution in which the random…

Q: credit card transactions in a ledger. Unfortunately, you tend to neglect recording about 5% of your…

A: It is an important part of statistics. It is widely used.

Q: Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes…

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.