Skip to main content
Question

1. A random experiment consists of throwing 4 equal coins, if X is the number of tails:

a. Find the probability distribution of X and plot your graph

b. What is the most likely tail number? Which one is the least likely?

c. What is the average number of tails that come out, when throwing the four coins? d. What is the dispersion of X?

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Not helpful? See similar books
MATLAB: An Introduction with Applications
Learn more about
Binomial Distribution
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: According to a 2017 report, 53% of college graduates in a state had student loans. Suppose a random…

A: Given that N=140

Q: Suppose that four microchips in a production run of sixty are defective. A sample of six is to be…

A: a) total number of microchips= 60  We have to pick 6 microchips.  that can be done in 60C6 ways…

Q: Suppose that five microchips in a production run of thirty are defective. A sample of seven is to be…

A: The total number of microchips are 30 and 5 of them are defective. (a) The number of microchips that…

Q: A citrus farmer has observed the following distribution for the number of oranges per tree. How many…

A: Click to see the answer

Q: In a certain county in 2013, it was thought that 50% of men 50 years old or older had never been…

A: a) From the given information, the number of men had never been screened is 40 and the sample size…

Q: In a certain county in 2013, it was thought that 50% of men 50 years old or older had never been…

A: We have a random sample of 50 men and 20 of them had never been screened Also it was thought that…

Q: Can the following table be a probability distribution? P(r) 1. 0.3142 0.2085 0.122 0.3196 0.0995 O…

A: Consider a random variable x with probability distribution of p(x). Now, p(x) is said to be a valid…

Q: In the study of a certain aquatic organism, a large number of samples were taken from a pond, and…

A: Click to see the answer

Q: 4.21. The salary of 1,000 engineers at Ford was normally distributed with mean salary $67,000 and…

A: Solution: 4.21. Let X be the salary of engineer at Ford. From the given information, X follows…

Q: 8. Assume that the total score (from both teams) for college football games averages µ = 42 points…

A: It is given that the mean is 42 and the standard deviation is 20.

Q: 4.21. The salary of 1,000 engineers at Ford was normally distributed with mean salary $67,000 and…

A: The salary of 1,000 engineers at Ford was normally distributed with mean salary $67,000and standard…

Q: Use the CLT again to determine the probability that the mean taxable wages in James' sample of 50…

A: It is given that mean is 28.29 and the standard deviation is 33.493.

Q: Suppose it is reported that 79 % of people subscribe to a cable or satellite television service. You…

A: Click to see the answer

Q: Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a…

A: Solution: Given information: n = 40 Sample size  p= 0.50 Population proportion

Q: c. What is the probability that one randomly selected city's waterway will have less than 9.2 ppm…

A: we have given that  mu=2.9 ,sigma=1.3  n=36  X~N( mu ,sigma^2) Note : According to bartleby expert…

Q: From a population consisting of 20, 28, 32, 38, and 40, a sample of size 2 will be selected with…

A: Given, 20, 28, 32, 38, 40 n = 5       To find, a) List down all the possible sample of size 2 with…

Q: Find the mean of the following probability distribution? 0 0.2172 1 0.2251 2 0.2099 3 0.1216 4…

A: Given data, x P(x) 0 0.2172 1 0.2251 2 0.2099 3 0.1216 4 0.2262   Mean=?

Q: Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a…

A: Given Information: Sample size (n) = 40 p = 0.55 For large samples, the sample proportion is…

Q: Use the forecast to find the probability that in a random sample of 10 major bridges in the​ city,…

A: HERE USE BINOMIAL THEOREM FOR GIVEN SCENARIO

Q: Can the following table be a probability distribution? P(x) 1 0.1394 2 0.1302 3 0.3472 4 0.1745…

A: Click to see the answer

Q: Suppose that the number of car accidents per day in Wilmington, NC has been recorded for the past…

A: Click to see the answer

Q: Is the following a Probability Distribution?

A: Random variables are of two types, discrete and continuous. A discrete random variable can only take…

Q: c. What is the probability that one randomly selected person learned to walk when the person was…

A: According to the answering guidelines, we can answer only three subparts of a question. Since part a…

Q: (b) If a sample of 10 cups of ice cream is selected, what is the probability that the mean of the…

A: Given that :  x¯ = 670σ=35n=10μx¯ =660

Q: d. If 100 SAT scores are randomly selected, find the probability that they have a mean between 1400…

A: d. Z-score: The z score formula is, z=x¯-μx¯σx¯ In the formula, μx¯ is the population mean, σx¯ is…

Q: c. If a random sample of n = 35 oil changes is selected, deseribe the sampling distribution of the…

A: The distribution of means is defined as the distribution of all possible sample means for a sample…

Q: a. What is the distribution of X? X ~ N(Correct,Correct)  b. Is 1856 a population mean or a sample…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Please post other parts…

Q: Refer to the sample data for polygraph tests shown below. If one of the test subjects is randomly…

A: probability is defined by = favourable outcomes/ total outcomes -We have to find the probability of…

Q: Given that x has a Poisson distribution with μ=1313​, what is the probability that x=9​?

A: From the provided information, X follows Poisson distribution with µ = 13. The probability…

Q: An automobile service facility specializing in engine tune-ups knows that 45% of all tune-ups are…

A: Consider X be a random variable which represents the number of cylinders on the next car to be…

Q: A. What is the probability of having at most 12 commercials shown in each of the four-night programs…

A: Given : Sum of probabilities  = 1 0.2 + 0.3 + b + 0.15 = 1 b = 1 - 0.65 b = 0.35

Q: Given the following data for an imaginary superhero universe:    Flying   Telepathy   Super…

A: Given the following data for an imaginary superhero universe:    Flying   Telepathy   Super…

Q: 12) The number of goals scored at State College hockey games follows a Poisson distribution with a…

A: Click to see the answer

Q: Suppose that, as part of a game at a charity carnival, players are invited to spin a wheel for a…

A: Given data, n=40 p=0.55 mean of the sampling distribution of p^=?

Q: 11,12,13

A: 11. Consider X be a random variable which follows normal distribution indicates the number of…

Q: The number of calculators, X, owned by students at a school has the following distribution. If a…

A: Click to see the answer

Q: Suppose 44 % of the students in a university are baseball players. If a sample of 853 students is…

A: Where,

Q: Given a normal distribution with µ = 50 and o = 5, if you select a sample of n = 100, what is the…

A: According to bartleby policy I have solved first three subparts of this question. I hope it will…

Q: 3. The following frequency distribution shows the number of times an outcome was observed from the…

A: From the given information, Sample size (n)  =2400 When die is thrown , probability of getting each…

Q: 8) Suppose that weight of adolescents is being studied by a health organization and that the…

A: We have given that,  Let x be random variable having probability mass function (p.m.f)  Let k is the…

Q: Assuming we have a uniform distribution, X, between 12 and 21, calculate the probability that a…

A: Thank you for posting the question. Since you have asked multiple question, we will solve the first…

Q: 2. The manufacturer of a certain brand of Wi-fi device claimed that their products have speed limit…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: 3) The number of customers in a bank follows a Poisson Distribution with mean 5. What is the…

A: Click to see the answer

Q: Construct a probability distribution (to the nearest hundredth ) for the number of HD television per…

A: Probability distribution:The probability distribution for the number of HD television per household…

Q: The following is the probability distribution for calls arived at a switchboard of one of the…

A: Given that Let X denotes the number of calls and P(X ) is the probability corresponding to X  We…

Q: 23. What is the probability that a random sample of 15 students would have a mean less than 1447? a…

A: The mean is 150 and the standard deviation is 8.

Q: In a survey of 2500 adults 18 year old and older conducted in 2019 adults 18 years old and older,…

A: The frequency distribution is given by:

Q: Which of the following is not a requirement of a binomial distribution? Select one: a. A constant…

A: The correct choice is b. The following are the conditions of binomial distribution: the trials…

Q: The number of adults living in homes on a randomly selected city block is described by the following…

A: Answer - Given, probability distribution          x 1 2 3 4 P(x) 0.25 0.50 0.15 0.10

Q: The call center of a company that sells electrical equipment receives an average of 5 complaint…

A: Obtain the probability of receiving 1 complaint per day. The probability of receiving 1 complaint…

Knowledge Booster
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
  • Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman
  • MATLAB: An Introduction with Applications
    Statistics
    ISBN:9781119256830
    Author:Amos Gilat
    Publisher:John Wiley & Sons Inc
    Probability and Statistics for Engineering and th...
    Statistics
    ISBN:9781305251809
    Author:Jay L. Devore
    Publisher:Cengage Learning
    Statistics for The Behavioral Sciences (MindTap C...
    Statistics
    ISBN:9781305504912
    Author:Frederick J Gravetter, Larry B. Wallnau
    Publisher:Cengage Learning
    Elementary Statistics: Picturing the World (7th E...
    Statistics
    ISBN:9780134683416
    Author:Ron Larson, Betsy Farber
    Publisher:PEARSON
    The Basic Practice of Statistics
    Statistics
    ISBN:9781319042578
    Author:David S. Moore, William I. Notz, Michael A. Fligner
    Publisher:W. H. Freeman
    Introduction to the Practice of Statistics
    Statistics
    ISBN:9781319013387
    Author:David S. Moore, George P. McCabe, Bruce A. Craig
    Publisher:W. H. Freeman