MathStatisticsQ&A LibraryYou wish to play a three-number lottery with your favorite data 8, 2 and 5. After a number is drawn, the number is placed back in the container for the next draw. What is the probability that the three winning numbers will be 8, 2 and 5? Are the numbers independent of each other? How would the probability change if no repetition is allowed?

Question

You wish to play a three-number lottery with your favorite data 8, 2 and 5. After a number is drawn, the number is placed back in the container for the next draw. What is the probability that the three winning numbers will be 8, 2 and 5? Are the numbers independent of each other? How would the probability change if no repetition is allowed?

Tagged in

Math

Statistics

Find answers to questions asked by students like you.

Q: An economist claims that the proportion of people who plan to purchase a fully electric vehicle as t...

A: From the given information the p-value is 0.026. Assume the level of significance as 0.05. the claim...

Q: A random sample of 50 public school teachers in Georgia had a mean annual salary of $48,300. Assume ...

A: The hypotheses for the test is given below.Null hypothesis:H0: µ = $50,000Alternative hypothesis:H1:...

Q: Illustrate a venn diagram for ( D U E) c (intersection, upside down U) F sets: D ( b,a,c,k). E ...

A: Given sets areD= {b, a, c, k}E= {t, a, s, k}F= {b, a, t, h}Universal set U is = {a, b, c, h, k, s, t...

Q: According to scientists, the cockroach has had 300 million years to develop a resistance to destruct...

A: Obtain the critical value at 95% confidence level:It is given that,Sample mean = 10,693/5,000=2.1386...

Q: for a normal distribution with a mean of 7 and a stanard deviation of 6, the value 10 has a z value ...

A: It is given that mean and standard deviation are 7 and 6, respectively.

Q: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly d...

A: A uniform distribution has an equal probability for all the outcomes of the random variable, that is...

Q: Please show TI 84 steps

A: According to the provided information, a fingerprints expert will correctly identify the match 83% o...

Q: Six hundred and five survivors of a heart attack, were randomly assigned to follow either (1) a diet...

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

Q: Sociologist say that 90% of married woman have issues with their husband's mother and it is the bigg...

A: Preliminary calculations:The given scenario follows binomial distribution.The probability of success...

Q: Please show TI 84 steps

A: Introduction:The 100 (1 – α) % confidence interval for the population mean, μ, for given population ...

Q: A relay microchip in a telecommunications satellite has a life expectancy that follows a normal dist...

A: A)The number of months should the satellite be insures for to be 95% secure that it will last beyond...

Q: The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distribut...

A: Solution:a.The 28th percentile for the number of chocolate chips in a bag is obtained below:From the...

Q: How to find margin of error and 95% confidence interval?

A: Margin of error:The margin of error helps in constructing confidence intervals, which gives a range ...

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers h...

A: The minimum head breadth that will fit the clientele is 3.2 and it is calculated below: Let us defin...

Q: In a recent poll, 45% of survey respondents said that, if they only had one child, they would pr...

A: (a) The probability that at least 84 would prefer a boy is 0.1230 and it is obtained below: From th...

Q: Which of the following describes the effect of an increase in the variance of the difference scores...

A: It is given that the variance of the difference scores increases in a repeated measures design.

Q: the table below is a joint probability table that display the joint probablitly distribution of the ...

A: Note:Hi there! Thank you for posting the question. Since the table is not clear, we observed the fol...

Q: How can the specific characteristics of a population affect the analysis of data?

A: The basic data which is collected for any population before the analysis of data is their demographi...

Q: NeverReady batteries has engineered a newer, longer lasting AAA battery. The company claims this bat...

A: The probability of the sample mean lifetime is 16.7 hours or less is 0.0202 and it is obtained below...

Q: For this set of data, the standard deviation (s) is equal to: 9, 8, 10, 5, 5, 2, 3, 6, 3

A: Mean:The formula for finding mean is shown below:

Q: Assume that random guesses are made for eleven multiple choice questions on a medical admissions te...

A: Click to see the answer

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items wi...

Q: The US population is 13% African American. If you were to take a SRS of 500 Americans, below what p...

A: From the given data The US population is 13% African American

Q: please solve the bullet points question. please show me details for the answers and what are the for...

A: Note:Hey there! Thank you for the question. In the last line of Part (iii), nothing is displayed aft...

Q: a previous analysis of paper boxes showed that the standard deviation of their lengths is 13 millime...

A: It is given that confidence level is 0.95, standard deviation is 13 and margin of error E is 4.Here,

Q: In a study of the accuracy of fast food drive-through orders, Restaurant A had 241 accurate orders ...

A: The formula for the 95% confidence interval for the proportion is given below:

Q: 11. Alice maximizes expected utility with an index u(x) = /I where z is the total annual income Her ...

A: The total annual wage of Alice is W = 90,000+70,000 = 160,000. And the probability is 0.5. The expec...

Q: Consider a binominal experiment with 2 trials, and p=0.4 a. Compute the probability of 1 success, f(...

A: It is given that n = 2 and p = 0.4. Therefore, q = 1–p = 0.6.The PMF of binomial distribution is giv...

Q: #1: Let X1 and X2 be independent and identically distributed to random variable X such that X has me...

A: Introduction:Since X1, X2 are independent and identically distributed, the following important point...

Q: Please see the picture. I asked this question before and it was answered but it was completely blank...

A: Note:Hey there! Sorry for the inconvenience. There must have been a technical issue. Hope you find t...

Q: Research done at the Harvard School of Public Health showed that regular soda drinkers may have a te...

A: (1)A dependent or response variable is measured while conducting an experiment. Its value depends on...

Q: Identify the appropriate level of measurement represented in each of the following questionnaire ite...

A: Introduction:Scales of measurement:Nominal: A scale of measurement in which, the observations are ca...

Q: Find the minimum sample size n needed to estimate muμ for the given values of c, sigmaσ, and E. ce...

A: It is given that confidence level is 0.90, standard deviation is 7.3 and margin of error E is 2.

Q: Comparison between two diets in obese children, one low-fat and one low-carb 8 week intervention wit...

A: A).The standard deviations of low-fat and low-carb groups are 8.4 and 7.7 respectively. The sample s...

Q: Suppose, according to a 1990 demographic report, the average U. S. household spends $90 per day. Sup...

A: Sample mean = $84.5.Sample standard deviation, s is $14.5.The sample size, n is 30.

Q: Problem 4

A: Preliminary calculation:Using the EXCEL formula “=NORM.S.INV(1-(0.05/2))”, the z-value for 95% confi...

Q: Assume the random variable x is normally distributed with mean equals=84 and standard deviation equa...

A: z-score:A z-score is a standard score that describes the number of standard deviation away from its ...

Q: A researcher wants to investigate the relationship between number of hours spent outdoors and the he...

A: Solution:Step 1:After copying the given data in to EXCEL software,Go to Data > Data analysis >...

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean o...

A: The provided information is:

Q: calculate the probability of exactly 3 successes in 4 tries. p= 0.2

A: Given:n = 4, r= 3, p = 0.2Consider that the random variable X follows a binomial distribution with p...

Q: Assume that a procedure yields a binomial distribution with a trial repeated n=13n=13 times. Use eit...

A: Giventotal number of trails = n = 13probability of success = p = 0.46To find the probability of 1 su...

Q: A(n) ________________________ distribution has mirror image sides such that if the distribution coul...

A: Skewness:The degree of symmetry of the distribution is called skewness. There are three measure of t...

Q: a highly selective boarding school will only admit students who place at least 1.5 standard deviatio...

A: It is given that the mean and standard deviation are 200 and 26, respectively.

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

A: Introduction:Consider giving birth to a girl to be a success. The probability of success is, p = 0.5...

Q: Researchers compared cortisol levels of two samples of women at childbirth. The first group (n=48) u...

A: Solution:The critical value is obtained below:From the given information, the first group sample si...

Q: You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2,...

A: Given data,

Q: E and F are mutually exclusive events. P(E) = 0.91; P(F) = 0.42. Find P(E | F)

A: Mutually Exclusive Events: The events E and F are mutually exclusive events. That is, P(E and F)=0.

Q: I have attached a picture of the question.

A: Hello there! there are more than one question. According to our policies we cannot answer more than ...

Q: A Gallup pool indicated that 29% of Americans spent more money in recent months than they used to. B...

A: As per the question,a)Population of interest is the all Americans who are 18 or older

Q: Please show TI 84 steps

A: Following information are provided for mathematics score,