what would be the most appropriate probability distribution for each of the following random variables, justify you answers. 1. Whether a tumor is benign or malignant. 2. Number of people with a malignant tumor out of 10 patients with tumor. 3. Size of tumors.

Q: (a) Why is the sampling distribution of x approximately normal? OA. The sampling distribution is…

A: Answer Given,The sample size [n] = 60

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Q: Here is a bivariate data set. X 15 18 20 50 14 10 26 y -8 13 8 86 12 -19 18 Find the correlation…

A: Solution:-The correlation coefficient (often denoted as ) can be calculated using the following…

Q: Assume that the sample is a simple random sample obtained from a normally distributed population of…

A: The confidence level is 95%.

Q: The accompanying table describes results from groups of 8 births from 8 different sets of parents.…

A: According to guidline we are supposed to solve first three subparts only rest can be submitted and…

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Q: In Table 3.5, you are given the ranks of 10 students in midterm and final examinations in…

A: Given RankMidtermFinalA13B32C78D107E99F56G45H810I21J64

Q: A taxi company is trying to decide whether to purchase brand A or brand B tires for its fleet of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: It is needed to find what type of data is used in Chi-square test of dependence.

Q: A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed…

A: Let X be the amount of mercury(ppm) found in tuna sushi, and the data on X is given…

Q: Tossing Coins Find the mean, variance, and standard deviation for the number of heads when 19 coins…

A: Let X be the number of heads and n be the number of coins tossed.

Q: The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs,…

A: Mean µ = 4  (acceptance level)n = 60Sample mean x¯  = 4.5a)n = 60 > 30Central Limit theorem:If X…

Q: Shortly after September 11th 2001, a researcher wanted to determine if the proportion of females…

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

Q: An STD clinic sees 10 people an hour. The actual probability of someone having an STD is 30%. You…

A: The number of people seen in STD clinic in one hour is 10The actual probability having STD is 30%.

Q: Garage Space The probabilities that a randomly selected home has garage space for 0, 1, 2, or 3 cars…

A: Properties for discrete probability distribution:

Q: A random sample of 78 eighth grade students' scores on a national mathematics assessment test has a…

A:

Q: I am playing a gambling game. On each play, I have a 10% chance of winning $12, a 30% chance of…

A: There is 10% chance of winning $12.A 30% chance of breaking even i.e., not winning or losing any…

Q: In a random sample of 25 people, the mean commute time to work was 34.5 minutes and the standard…

A: From the provided information,Confidence level = 95%

Q: Determine whether the normal distribution can be used to compare the following population…

A:

Q: A simple random sample of 500 individuals provides 300 Yes responses. a. What is the point estimate…

A:

Q: Hypoglycemia is the most common serious side effect of insulin. It occurs in approximately 16 % of…

A: In this case, each of the considered Type II diabetic patients has the only options of being…

Q: A company provides maintenance service for water-filtration systems throughout southern Florida.…

A: It is required to obtain the two different regression equations, once with Type of Repair as the…

Q: Assume that different groups of couples use a particular method of gender selection and each couple…

A: The number of couples consists in the group, The probability of a girl,

Q: 1 Let (X₁, X₂) be jointly continuous with joint probability density function f(x₁, x2) = x1 0 < x₂ <…

A: The PDF of 1 is given by:Same as (iv) I checked it:

Q: A researcher claims that at least 10% of all football helmets have manufacturing flaws that could…

A: From the provided information,

Q: Find the following probability, given the number of trials and the probability of obtaining a…

A: It is given that the random variable X has a binomial distribution with the given probability of…

Q: 10.4.1 WP The manager of a fleet of automobiles is testing two brands of radial tires and assigns…

A: carBrand1Brand21369253431824530042280336240355004321003195053721038015648360478007382003781083350033…

Q: Researchers found a correlation coefficient of r = .50 on personality measures for identical twins.…

A: The objective of the question is to understand if the interpretation of the correlation coefficient…

Q: A manufacturer of potato chips would like to know whether its bag filling machine works correctly at…

A: The question is about hypothesis testing.Given :Population mean that bags filling machine works…

Q: What is the P-value for the following values of X2 and df? (Round your answers to three decimal…

A: Answer By using the standard normal distribution table values,

Q: An economist is studying the job market in Denver area neighborhoods. Let x represent the total…

A: From the information, given that

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A: It is given that confidence level is 0.99, standard deviation is 7.51 and the margin of error E is…

Q: Suppose a simple random sample of size n = 64 is obtained from a population that is skewed right…

A: Given information:Population mean=70Population standard deviation=16(a)It is clear that the sample…

Q: b) Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of…

A: Given, a coin is tossed and an eight-sided die is rolled.

Q: Suit Sales The number of suits sold per day at a retail store is shown in the table, with the…

A: Number of suits  sold per day at a retail store is given below:Number of suits sold…

Q: The length of a MLB game in 2005 is normally distributed with a mean of 166 minutes and a standard…

A: According to guidline we are supposed to solve first three subparts only rest can be submitted and…

Q: A state legislator wants to determine whether his voters' performance rating (00 - 100100) has…

A: The given table shows the legislator's performance from the same ten randomly selected voters for…

Q: A hypothesis will be used to test that a population mean equals 7 against the alternative that the…

A: Given thatHypotheses:Significance level 0

Q: 6. A real-estate agent compares the selling prices of homes in a municipality in southwestern PA…

A: Sample mean Sample standard deviation Sample size The average cost of a home in PA is $125000.Claim:…

Q: Next Check 0/1 ptRetries 3Reattempts 19Info Details…

A: The objective of this question is to find the probability that a single randomly selected value is…

Q: For 100 births, P(exactly 57 girls)=0.0301 and P(57 or more girls)=0.097. Is 57 girls in 100 births…

A: P(Exactly 57 girls) = 0.0301P(57 or more girls) = 0.097

Q: are mean consumpon of popcom annually by Americans is 59 quarts. The marketing division of the food…

A: The mean consumption of popcorn annually by Americans is 59 quarts.The objective is to check whether…

Q: 3. If I have a hypothesis test with critical values of 1.96 and -1.96 and I get a test statistic of…

A: The question is about hypothesis testing.Given :Critical value : 1.96 and -1.95Test statistic =…

Q: The height of American women ages 18 and 29 are normally distributed with a mean of 64.3 inches and…

A: Given:The height of American women ages 18 and 29 are normally distributed with a mean of 64.3…

Q: Consider the following table in reference to a hypothesis test: Ho True Ho false (1) (3) Accept Ho…

A: Given, H0 TrueH0 falseAccept H0(1)(2)Reject H0(3)(4)

Q: A lottery offers one $800 prize, two $700 prizes, three $400 prizes, and four $200 prizes. One…

A: Given information:$800 prize = 1$700 prize = 2$400 prize = 3$200 prize = 4

Q: The average fruit fly will lay 377 eggs into rotting fruit. A biologist wants to see if the average…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Find the critical value to for the confi n = 8. Click the icon to view the t-distr

A: Answer Given,The sample size [n] = 8The confidence interval = 0.99

Q: Find the least-squares regression line ?̂=?0+?1? through the points…

A: The objective of this question is to find the least-squares regression line y_hat = b0 + b1*x for…