Find an approximation to the probability that the number of 2s obtained in 12,000 rolls of a die are between 1900 and 2150 (non-inclusive). Give up to three decimal places correct. [Hint: Use Normal Approximation of Binomial Distribution]

Find an approximation to the probability that the number of 2s obtained in 12,000 rolls of a die are between 1900 and 2150 (non-inclusive). Give up to three decimal places correct. [Hint: Use Normal Approximation of Binomial Distribution]

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

Related questions

Q: use a normal approximation to find the probability of the indicated number of voters. in this case…

Q: For at distribution with 15 degrees of freedom, find the area, or probability, in each region.…

A: It is given that Degrees of freedom, df = 15Note: According to Bartleby expert guidelines, we can…

Q: Suppose that 12% of the population of the U.S. is left-handed. If a random sample of 130 people from…

A: Answer: From the given data, P(population of the U.S. is left-handed) = 12% = 0.12 Sample size (n) =…

Q: Theorem :- show That x6 $s an unbaised estimate of P in binomil distribution

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

Q: Two owners of a cattle ranch, Robert and Val, want to find the average weight for the ranch's 200…

Q: A multiple-choice examination consists of 80 questions, each having possible choices a, b, c, d, and…

A: Let X represent the number of correct answers X~ Binomial (80, 0.2) Using Normal to the binomial…

Q: Use normal approximation to find the probability of the indicated number of voters. In this case,…

A: Given proportion of voters aged 18-24, who actually voted = 0.22Total number of eligible voters in…

Q: Suppose that 8% of the population of the U.S. is left-handed. If a random sample of 170 people from…

A: given data, suppose 8% of the u.s is left- handed p=0.08q=1-p=1-0.08=0.92n=170we have to use normal…

Q: Suppose that 16% of the population of the U.S. is left-handed. If a random sample of 175 people from…

A: Given n=175 P=0.16

Q: Because many passengers who make reservations do not show up, airlines often overbook flights…

A: The given information is as follows:Number of tickets sold Probability of success (probability of a…

Q: On a typical Saturday night at a local bar in San Diego, about 62% of people order a drink that has…

A: Given : n=250 and p = 62%=0.62

Q: popula ty that least th st of fo

A: It is an important part of statistics. It is widely used.

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

A: The binomial probability distribution is, In the formula, n denotes the number of trails, p denotes…

Q: Use the normal approximation for a binomial to solve this problem. If 13.1% of people in the United…

A: The following are the population mean (μ)(\mu) and population standard deviation (σ)(\sigma)…

Q: A brokerage survey reports that 33% of all individual investors have used a discount broker (one…

A: It is given that n=70 and p=0.33.

Q: ssume that a procedure yields a binomial distribution with a trial repeated n=11 times. Use either…

A: Given that,n = 11p = 0.74k = 6we need to find the probability of k = 6, by using binomial…

Q: nsider the probability that exactly 6767 out of 289289 software users will call technical support.…

A: Given: Number of trials (n) = 289289 Probability of success (p) = 6767289289…

Q: ppose that 44% of the population of voters in Mexico favors a particular presidential candidate. If…

A: Given data,n=45p=44%=0.44P(X≥17)=?

Q: Both the Hypergeometric and the Binomial distributions deal with dichotomous (binary) data.

A: Here we need to determine whether the given statement about binomial and hypergeometric distribution…

Q: Suppose that 13% of the population of the U.S. is left-handed. If a random sample of 160 people from…

A: The random variable X follows binomial distribution. The sample size is 160 and proportion is 0.13.…

Q: Assume exponential distrobution. To verify a 500,000 hours MTTF, how many test units do we need?…

A: The exponential distribution is a continuous probability distribution. The expected time for an…

Q: •A record (those round vinyl things that used to have recorded sound on them) is easily scratched.…

A: # Given : S be the no of scratch on an LP with rate parameter lambda =1 scratch /cm^2 the to…

Q: A multiple-choice examination consists of 85 questions, each having possible choices a, b, c, d and…

A: We have to find given probability.

Q: 44. How many terms do we need be accurate within 5 decimals for the series A. 15 terms B. 12 terms…

A: The given series is ∑n=1∞4-1n2n·2n To find the number of terms needed to be accurate within 5…

Q: approximate the probability that at most 19 favor this candidate. Use normal approximation to the…

Q: Suppose that 10% of the population of the U.S. is left-handed. If a random sample of 140 people from…

A: Answer: From the given data, sample size(n) = 140 p = 10% =0.10

Q: Suppose that 15% of the population of the U.S. is left-handed. If a random sample of 145 people from…

Q: A particular test has a 72% pass rate. A teacher decides to grade tests until 15 people have passed…

A: Given: Number of trials (n) = 15 Probability of success (p) = 0.72

Q: Suppose that 15% of the population of the U.S. is left-handed. If a random sample of 145 people from…

Q: Suppose that 13% of the population of the U.S. is left-handed. If a random sample of 175 people from…

A: Givenp=0.13sample size(n)=175Let "x" be the no.of people are left…

Q: In a certain city of several million people, 6.9% of the adults are unemployed. If a random sample…

Q: Suppose that 13% of the people in a large city have used a hospital emergency room in the past year.…

A: The question is about normal approximation.Given :Population proportion of the people used a…

Q: A multiple-choice examination consists of 80 questions, each having possible choices a, b, c, d, and…

A: Given Data : sample size,n= 80 probability of success,p= 0.2 probability of failure,q=…

Q: Suppose that 10% of the population of the U.S. is left-handed. If a random sample of 195 people from…

Q: Suppose that 52% of the population of U.S. voters favors a particular presidential candidate. If…

Q: Suppose that 10% of the population of the U.S. is left-handed. If a random sample of 175…

A: Given The proportion of US population is left handed = p = 0.10Sample size = n = 175 Let X be the…

Q: Use the rofmal aporoximation to the binomial to find the probability for n50. p0,7, and X-39. Round…

Q: The diagram below shows a rectangle with a shaded region. 3m What is the area. In square meters, of…

A: We can see that from figure.Length of rectangle=9mBreath of rectangle=3mHeight of triangle=3mBase of…

Q: onsider the probability that no less than 81 out of 476 computers will crash in a day. choose the…

A: Total number of computers Consider, The asked probability is no less than 81 out of 476 computers…

Q: Suppose that 16% of the U.S. population is left handed. If a random sample of 130 people are…

Q: 46 percent of students who made a resolution of passing college with high GPA achieved their…

A: From the provided information, Sample size (n) = 134 Probability (p) = 0.46 Using normal…

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Find an approximation to the probability that the number of 2s obtained in
12,000 rolls of a die are between 1900 and 2150 (non-inclusive). Give up to
three decimal places correct. [Hint: Use Normal Approximation of Binomial
Distribution]

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Use either the binomial probability formula (or technology) to find the probability of k=4 successes given the probability p=0.76 of success on a single trial.(Report answer accurate to 4 decimal places.)
Suppose that 15% of the population of the chips are defective. If a random sample of 250 chips from the box is chosen, approximate the probability that fewer than 30 are defective. Use the normal approximation to the binomial with a correction for continuity. Round your answer to four decimal places.
Suppose that 12% of the population of the U.S. is left-handed. If a random sample of 190 people from the U.S. is chosen, approximate the probability that at most 24 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps.
Round up your answer up to 4th dec places. pls answer in COMPLETE
Suppose that 10% of the population of the U.S. is left-handed. If a random sample of 134 people from the U.S. is chosen, approximate the probability that at most 16 are left-handed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places.
Refer to the picture below
O RANDOM VARIABLES AND DISTRIBUTIONS Normal approximation to binomial In a certain city of several mmion people, 6.2% of the adults are unemployed. If a random sample of 250 adults in this city is selected, approximate the probability that at most 12 in the sample are unemployed. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.) Explanation Check Terms of Use Privacy Accessibiney
Consider the probability that more than 43 out of 130 people have been in a car accident. Assume the probability that a given person has been in a car accident is 97% Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Use a normal approximation to find the probability of the indicated number of voters. In this case, assume that 109 eligible voters aged 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged 18-24, 22% of the voted Probability that exactly 27 voled The probability that exactly 27 of 109 eligible voters voted is (Round to four decimal places as needed.) REED