Math

StatisticsQ&A LibraryIn Exercises 1–5, assume that 74% of randomly selected adults have a credit card (based on results from an AARP Bulletin survey). Assume that a group of five adults is randomly selected.credit cards Find the probability that at least one of the five adults has a credit card. Does the result apply to five adult friends who are vacationing together? Why or why not?Question

Asked Jan 9, 2020

2 views

In Exercises 1–5, assume that 74% of randomly selected adults have a credit card (based on results from an AARP Bulletin survey). Assume that a group of five adults is randomly selected.

credit cards Find the probability that at least one of the five adults has a credit card. Does the result apply to five adult friends who are vacationing together? Why or why not?

Step 1

Define the random variable *x* as the number of adults having credit card. Here, the number of adults chosen (*n*) is 5 and each of them is independent of the other. Also, there are two possible outcomes (having a credit card and not having a credit card) and the probability that an adult will have a credit card (*p*) is 0.74. Thus, *x* follows a binomial distribution.

The binomial distribution formula is,

Step 2

Here, “at least 1 adult having credit card” repre...

Tagged in

Find answers to questions asked by student like you

Q: For quantitative data, we examined three types of grouping: single-value grouping, limit grouping, a...

A: a)Quantitative variable: A variable that provides numerical values of individual and Arithmetic oper...

Q: Acceptance Sampling. Exercises involve the method of acceptance sampling, whereby a shipment of a la...

A: Click to see the answer

Q: Ordinal Data. Another important type of data is ordinal data, which are data about order or rank giv...

A: a)The various levels of measurement are:Nominal level of measurement: When the values of the variabl...

Q: Identifying Binomial Distributions. In Exercises 5–12, determine whether the given procedure results...

A: Conditions for a binomial experiment:There are n independent trials.The probability of success in ea...

Q: Give two reasons why the use of smooth curves to describe shapes of distributions is helpful.

A: Reasons for using the smooth curves on priority:In order to identify, the shape of the distribution ...

Q: hy is the basic counting rule (BCR) often referred to as the multiplication rule?

A: Basic Counting Rule (BCR):If k actions can be done in a definite order with m1 possibilities for fir...

Q: Of the mean, median, and mode, which is the only one appropriate for use with qualitative data?

A: The mean, median and mode are the three most commonly used measure of centre.The, mean of the data s...

Q: Fill in the blanks. a. Consider a regression model with two predictor variables, x1 and x2. If there...

A: Variance inflation factor:The variance inflation factor, VIF is a measure of multicollinearity, or c...

Q: Applying the Concepts and Skills Top Broadcast Shows. As reported in Primetime Broadcast Programs, a...

A: Quantitative variable: A variable that provides numerical values of individual and Arithmetic operat...

Q: b0 = 5, b1 = 2, b2 = 7a. determine whether the plane slopes upward, slopes downward, or is horizonta...

A: (a)Direction of the slope of a plane:If the sign of a partial slope is positive, the plane slopes up...

Q: y = 9a. find the y-intercept and the partial slopes.b. determine whether the plane slopes upward, sl...

A: a)The y-intercept:The y-intercept in a multiple linear regression equation is the value taken by the...

Q: Apply Chebyshev’s rule to solve Exercises. A quantitative data set of size 150 has mean 35 and stand...

A: Solution: We are given that the mean and standard deviation is:

Q: SAT Test. In Exercises 15–20, assume that random guesses are made for eight multiple choice question...

A: Define the random variable x as the number of correct answers. Here, the number of questions (n) is ...

Q: Identifying Probability Distributions. In Exercises 7–14, determine whether a probability distributi...

A: Requirements:The following requirements should be satisfied for the distribution to follow probabili...

Q: Of the variables you have studied so far, which type yields nonnumerical data?

A: Qualitative variable: A variable that is used for the classification of individuals based on some at...

Q: Augusta National Golf Course. Earlier in this section, we found that the population standard deviati...

A: Parameter:Any statistical measure based on all units in the population is called Parameter.Statistic...

Q: Identify, give the degrees of freedom for, and interpret the test statistic used in a hypothesis tes...

A: (a)The degrees of freedom for the interaction in two-way ANOVA is,(a–1)(b–1)The test statistic for i...

Q: Determine the value of each quantity. a.7P3b.5P2c.8P4d.6P0e.9P9

A: a)Permutation Rule:The number of arrangement of r objects from n distinct objects is given by the fo...

Q: Online Medical Info USA Today posted this question on its website: “How often do you seek medical in...

A: Voluntary response sample:If the sample made up of volunteers or self-selected participants, then th...

Q: State three of the most important guidelines in choosing the classes for grouping a quantitative dat...

A: Quantitative variable: A variable that provides numerical values of individual and Arithmetic operat...

Q: In Exercises, we have provided simple data sets for you to practice the basics of finding a a.popula...

A: The data is 1, 9, 8, 4, 3. The population size is 5.

Q: Fill in the following blank: Observational studies can reveal only association, whereas designed exp...

A: Designed experiment:The investigator may design and perform their own experiments my controlling and...

Q: Exam Scores. Construct a dotplot for the following exam scores of the students in an introductory st...

A: The provided score is-

Q: I'm having trouble solving this problem.

A: It is given that n=57 and p=0.35. Therefore, q=0.65.

Q: State four ways to detect the presence of multicollinearity.

A: Detection of the presence of multicollinearity:The strong linear relationships in the scatter plot o...

Q: RBI Kings. As reported on MLB.com, the five players with the highest runs batted in (RBI) during the...

A: Qualitative variable: A variable that is used for classification of individuals based on some attrib...

Q: How would I solve the p value of the test statistic?

A: From the provided information, it is known that the test is two tailed and value of the test statist...

Q: Explain what is meant by multicollinearity.

A: Multicollinearity:In a multiple regression model one predictor variable will be linearly predicted w...

Q: Apply Chebyshev’s rule to solve Exercises. A quantitative data set has mean 25 and standard deviatio...

A: a)The mean is 25 and standard deviation is 5.

Q: Explain the meaning of a. qualitative variable.b. discrete, quantitative variable.c. continuous, qua...

A: a.qualitative variables are those which cannot be counted, and arithmetic operation cannot be applie...

Q: egarding a scatterplot matrix:a. Identify two of its uses.b. What property should the scatterplots o...

A: a).Scatterplot matrix:A scatter plot matrix is defined as an array of scatterplots of the response v...

Q: Explain why the interpretation of the regression coefficients is difficult when the predictor variab...

A: Predictor variables:Predictor variables are also known as independent variables; these variables are...

Q: Fill in the blanks.a. The cross-product term in a regression equation is often referred to as an____...

A: a)The interaction between two variables is calculated separately, because the combined effect of the...

Q: Composite Sampling. Exercises 33 and 34 involve the method of composite sampling, whereby a medical ...

A: The method of composite sampling is done by combining blood samples for test where one test is condu...

Q: Describe the difference in how observations are ranked in the Friedman test and in the Kruskal–Walli...

A: Kruskal-Wallis test:The ranks are assigned to the observations by considering all observations.

Q: In Exercises 1–5, assume that 74% of randomly selected adults have a credit card (based on results f...

A: Define the random variable x as the number of adults having credit card. Here, the number of adults ...

Q: In Exercises, we have provided simple data sets for you to practice finding the descriptive measures...

A: a)The quartiles, and are obtained as follows:Step1:The data set is arranged in ascending order as 1,...

Q: Denfine each of the following terms in the context of experimental design. a. Response variableb. Fa...

A: a)Response variable:In an experimental design, the response variable is defined as the variable that...

Q: Suppose that R2 = 0 for a data set. What can you say abouta. SSE?b. SSR?c. the utility of the sample...

A: The formula for coefficient of determination is given as follows:

Q: Apply Chebyshev’s rule with k = 5 and interpret your answer.

A: Click to see the answer

Q: A four-way factorial design has Factor A at 2 levels, Factor B at 2 levels, Factor C at 4 levels, an...

A: Treatments:In an experimental study, the subjects are imposed with certain experimental conditions; ...

Q: Floor Space. The U.S. Department of Housing and Urban Development compiles information on new, priva...

A: Median: Median is the best measure of central tendency for skewed distributed data.Median is the bes...

Q: An experiment has been conducted for four treatments with eight blocks. Complete thr following anal...

A: According to the provided data, number of treatments, k is 4 and the number of blocks, l is 8. The s...

Q: Answer true or false to each of the following statements and explain your answers.a. In a completely...

A: (a)The experimental units are assigning randomly to the treatments they are not assigning to the tre...

Q: University Patents. The number of patents a university receives is an indicator of the research leve...

A: a)Step-by-step software procedure to draw stem and leaf plot using MINITAB software is as follows:Se...

Q: Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation web...

A: a:For the given data, the chi-square test for association is appropriate.Null Hypothesis:H0: The hea...

Q: Process Capability. R. Morris and E. Watson studied various aspects of process capability in the pap...

A: a)Step-by-step software procedure to draw stem and leaf plot using MINITAB software is as follows:Se...

Q: y = –1 + 2x1 –5x2a. find the y-intercept and the partial slopes.b. determine whether the plane slope...

A: a)The y-intercept:The y-intercept in a multiple linear regression equation is the value taken by the...

Q: Zip Codes. The author spoke with a representative of the U.S. Postal Service and obtained the follow...

A: a)For the five digit zip code, the first four digits can be any of the digits 0 to 9 and the last di...

Q: Identify some methods used in descriptive statistics.

A: Descriptive statistics:Descriptive statistics is defined as the method where the information obtaine...