One of the bartleby experts helped me with this Intro to Probability and Statistics homework problem. Below is the work that was provided by the expert. What I need to know is which distribution is being used? Answer the following question about PMFs. Be sure to explicitly state which distribution you are using in each of the following cases.1. In a fair coin toss, what is the probability of getting exactly 3 heads in 5 tosses? Work ### Step 1: Write the given informationLet \( X \) be the number of heads and \( n \) be the number of tosses. Given, the coin is fair. The probability of getting a head is \( \frac{1}{2} = 0.5 \) and \( n = 5 \).### Step 2: Find the probability of getting exactly 3 heads in 5 tossesThe probability of getting a head is constant for all tosses. The success is a head, and failure is a tail. Each toss is independent. Then, \( X \) follows a binomial distribution with \( n = 5 \) and \( p = 0.5 \). The Probability Mass Function (PMF) of \( X \) is:\[P(x) = \binom{n}{x} p^x (1-p)^{n-x}, \quad x = 0, 1, 2, \ldots, n\]Then, the probability of getting exactly 3 heads in 5 tosses is:\[P(X = 3) = \binom{5}{3} (0.5)^3 (1-0.5)^{5-3}\]Calculating this, we have:\[= 10 \times 0.5^3 \times 0.5^2\]\[= 0.3125\]### SolutionThe probability of getting exactly 3 heads in 5 tosses is 0.3125.

Suppose a random variable X defines the number of heads while tossing a coin.

One of the bartleby experts helped me with this Intro to Probability and Statistics homework problem. Below is the work that was provided by the expert. What I need to know is which distribution is being used? Answer the following question about PMFs. Be sure to explicitly state which distribution you are using in each of the following cases. 1. In a fair coin toss, what is the probability of getting exactly 3 heads in 5 tosses? Work

One of the bartleby experts helped me with this Intro to Probability and Statistics homework problem. Below is the work that was provided by the expert. What I need to know is which distribution is being used? Answer the following question about PMFs. Be sure to explicitly state which distribution you are using in each of the following cases. 1. In a fair coin toss, what is the probability of getting exactly 3 heads in 5 tosses? Work

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Please help with question 11 with explanation Thank you
You may need to use the appropriate appendix table or technology to answer this question. A market research firm conducts telephone surveys with a 26% historical response rate. What is the probability that in a new sample of 600 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150 600 = 0.25? Step 1 Recall that a sampling distribution of p is a discrete probability distribution but can be approximated by a normal distribution when np ≥ 5 and n(1 − p) ≥ 5, where n is the sample size and p is the population proportion. Let p be the population proportion of people who respond to questions in telephone surveys. Here, it is given that 26% of people respond to questions in telephone surveys. Converting this percentage to a proportion gives p = . There is a sample of 600 telephone numbers, so n = .
What are the reasoning or arguments surrounding the below statement: "Statistical research shows that the probability of a person who takes one alcoholic drink are at a greater risk of getting into a car accident than someone who recently smoked marijuana
Please answer the question in the photo. Thank You!
The below was the answer I received when I asked the following question. Dr. Deming’s Red Bead Experiment is an exercise in the laws of probability. The workers were frustrated because no matter what they did, the outcome was not predictable. If the paddle holds 50 beads and there are 500 white beads and 50 red beads in the box, what is the probability, using one sample, of filling a paddle with 47 white beads and only three red beads? What I need to understand is how did you get the highlighed answers below because these require a factorial of 500 and I have not found anything that will calculate that. Thank you Step 1 Given Information: Number of white beads = 500 Number of red beads = 50 Total number of beads = 550 Step 2 The probability, using one sample, of filling a paddle with 47 white beads and only three red beads can be determined as follows: Probability = C47500*C350C50550=(2.94*10^66) (19600)(3.44*10^71)=0.1675
1. What is a random variable? Give an example. Suppose you are shopping online for a new toy for your dog. As you look at the product reviews, you see the following distribution of ratings. Use this table for questions 2-5. Stars Frequency 6. 4 3 3 1 1 2. Sketch a data visualization of the distribution of stars. 3. What is the probability that a randomly chosen reviewer gave the dog toy 3 stars? What is the probability that a randomly chosen reviewer gave the dog toy 3 or fewer stars?
answer frq style please list formulas and show all work
sorry, here is more to the question I posted. Find the probability that none of the households are tuned to CSI: Shoboygan.P(none) = Find the probability that at least one household is tuned to CSI: Shoboygan.P(at least one) = Find the probability that at most one household is tuned to CSI: Shoboygan.P(at most one) =
Keep your eyes and ears open as you read or listen to the news this week. Find/discover an example of statistics & probability in the news. Was it explained well, or poorly? What is the context? Do you think anything about the article is misleading? Can you make any inferences based on it? Initial post due Monday: Do you think that the statistics in the article would convince the reader of anything? Explain why or why not by referencing examples from the article.