Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 31% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a) through (d) below Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. Yes, both np 2 5 and nq 2 5 O B. No, nq <5 C. No, np <5 (a) Find the probability that the number who name professional football as their favorite sport is exactly 8. The probability is (Round to four decimal places as needed.)

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If you cannot, explain why and use the binomial distribution to find the indicated probabilities. A survey of adults in a region found that 31% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a) through (d) below Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below. O A. Yes, both np 2 5 and nq 2 5 O B. No, nq <5 C. No, np <5 (a) Find the probability that the number who name professional football as their favorite sport is exactly 8. The probability is (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the…

Q: 76% of U.S. adults think that political correctness is a problem in America today. You randomly…

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

Q: 55% of college graduates know the name of the Secretary of State for the U.S. You randomly select 5…

A: (a) Obtain the mean of the binomial distribution. The value of the mean is obtained below: Let X…

Q: (c) Compute the expected frequencies. Grade Expected Part: 3 / 9 Part 4 of 9 A Grade A B C D F 18 B…

Q: The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range,…

A: The given data is as follows:12, 20, 23, 14, 17, 16, 19, 16, 15, 17The objective is to compute the…

Q: For the distribution shown, which letter represents the mode? (This is a reading assessment…

A: We know This graph consist 2 axis( x and y) Three measures ( mean, median, mode) X- axis represent…

Q: Do US college students read the local newspaper? To investigate the question a random sample of 500…

Q: Find the mean of the binomial distribution. P= (Round to two decimal places as needed.) Find the…

A: Given that n = 5 , p = 62% = 0.62 , q = 1 - p = 1 - 0.62 = 0.38 X ~ Binomial ( n = 5 , p = 0.62 ) p…

Q: I asked a sample of SCOB instructors how many football games they watched a particular weekend and…

A: From the provided information, The data values are as follow: 0, 3, 4, 1 Sample size (n) = 4

Q: Suppose multiple samples of size n are drawn from a population with a probability of success equal…

A: Defined : probability of success equal to 57% p=0.57

Q: Determine whether the given procedure results in a binomial distribution. If it is not binomial,…

Q: For a fair six-sided die, calculate the mean and variance of the distribution of outcomes. What is…

A: Tossing a six sided die is.The sample space S={1,2,3,4,5,6}

Q: The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the…

Q: The mean and median of a distribution are 14 and 15 respectively. The value of mode is

Q: find the standard error of mean for each sampling distribution. O=30, N=4. O=30, N=16. O=30, N=64.

A: Solution: To find standard error of the following given data standard error=sigma/sqrt(n) 1):…

Q: In a distribution of scores, the mean is 12, the median is 8 and the mode is 4. Describe the shape…

A: A distribution is said to be positively skewed / right skewed if Mode > Median > Mean and…

Q: Q3. In a binomial distribution of k Successes from n trials: Thenumber of different sequences is…

A: (I). In binomial distribution, if there are n number of trials and k number of successes then the…

Q: r2 = .672 can be interpreted as 67.2% of the variance. Group of answer choices True False

A: Coefficient of determination: The coefficient of determination tells about the percent of variance…

Q: nference. The data are summarized below. A normal probability plot suggests that the residuals are…

Q: Describe a scenario explaining how to find the mean of a sampling distribution and how to calculate…

A: Solution-: Describe a scenario explaining how to find the mean of a sampling distribution and how to…

Q: Clear Al Draw: 6. Use the regression line to estimate the probability of predators finding a nest if…

A: The regression line used to predict the variable based on the independent variable. The regression…

Q: The median home price in Mahwah, NJ is $609,383. The mean home price in Mahwah, NJ is $1,074,450.…

A: Here from the given information we want to know the shape of the distribution.

Q: The high temperature, in ∘C, on the first day of winter was recorded in a certain city every year…

A: Given data is,4,12,6,9,6,11sample size(n)=6

Q: The histogram below gives the length of service of members of the Department of Biology at a…

A: Given data : No of years faculty 0 - 5 5 5 - 10 11 10 - 15 10 15 - 20 2 20 - 25 11…

Q: Fifteen percent of U.S. employees who are late for work blame oversleeping. You randomly select four…

A: Suppose a random variable X, defines that the number of U.S. employees who are late for work and…

Q: The average income in a certain region in 2013 was $68,000 per person per year. Suppose the standard…

A: a. Central limit theorem: If the population is normally distributed then the sampling distribution…

Q: Determine whether the statement is true or false. If it is false, rewrite it as a true statement.…

A: Given problem Given that As the size of a sample increases, the mean of the distribution of…

Q: Help

A: The null and alternative hypotheses can be written as follows:Null hypothesis:H0: The distribution…

Q: Use a standard normal table to find the z-score that corresponds to the 5th percentile. Click to…

A: Answer:- Here we need to find the Z-score that corresponding to the 5th percentile.That is, we need…

Q: Suppose multiple samples of size nn are drawn from a population with a mean of 50. The mean is…

A: Population mean =50

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

Determine whether you can use the normal distribution to approximate the binomial distribution. If you can, use the normal distribution to approximate the indicated probabilities and sketch their graphs. If
you cannot, explain why and use the binomial distribution to find the indicated probabilities.
A survey of adults in a region found that 31% name professional football as their favorite sport. You randomly select 12 adults in the region and ask them to name their favorite sport. Complete parts (a)
through (d) below
.....
Determine whether a normal distribution can be used to approximate the binomial distribution. Choose the correct answer below.
A. Yes, both np 25 and nq 25
B. No, nq < 5
C. No, np < 5
(a) Find the probability that the number who name professional football as their favorite sport is exactly 8.
The probability is
(Round to four decimal places as needed.)

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, statistics and related others by exploring similar questions and additional content below.

Similar questions

The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 12, 20, 23, 13, 16, 16, 20, 16, 14, 15 O The range is . (Simplify your answer.)
compute the range, variance, and standard deviation. Write a paragraph interpreting your results. Major Education,Social Science, Computer, Science Business,Other Dorm A 20 7 3 10 7 Dorm B 10 17 4 7 10
A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. How much toothpaste would you expect to be remaining in the tube?
A survey was conducted two years ago asking college students their top motivations for using a credit card. You think this distribution has changed. You randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the distribution? Use oa = 0.025. Complete parts (a) through (d). Response Old Survey % New Survey Frequency, f Rewards Low rates Cash back Discounts Other 28% 111 24% 98 22% 108 7% 47 19% 61 a. State Ho and H, and identify the claim. What is the null hypothesis, Ho ? A. The distribution of motivations differs from the old survey. B. The distribution of motivations is 28% rewards, 24% low rate, 22% cash back, 7% discounts, and 19% other. C. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61 other. What is the alternate hypothesis, Ha? A. The distribution of motivations is 111 rewards, 98 low rate, 108 cash back, 47 discounts, and 61…
Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Surveying 83 people to determine which brand of apparel is their favorite.
A carpet manufacturer is inspecting for flaws in the finished product. If there are too many blemishes, the carpet will have to be destroyed. He finds the number of flaws in each square yard and is interested in the average number of flaws per 10 square yards of material. The sample mean, ?¯x¯ , for the 10 square yards will have what type of distribution? binomial Neither of the answer options is correct. Normal
Construct a probability distribution for the sum shown on the faces when two dice, each with 8 faces, are rolled. 1. Find the mean. Round your answer to one decimal place as needed. Do not round intermediate steps. 2. Find the variance and standard deviation.
Determine whether the number line represents a discrete random variable or a continuous random variable. Explain your reasoning. The attendance at games for a sports team 15000 Continuous; Attendance is a random variable that must be measured. Discrete; Attendance is a random variable that is countable. 17500 20000 22500 25000
Please see the picture below. I got 12.5 as the answer.
Sixty-three percent of U.S. households have a personal computer. In a random sample of 400 households, determine the mean of the binomial distribution.
The p-value is which? the same as the z statistic. a sample statistic. a probability. a distance.
omework Assessment A Dashboard + ent/showtest.php The average final exam score for the statistics course is 76%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 70, 60, 54, 59, 73, 87, 52, 86, 56, 75, 52, 73 What can be concluded at the the a=0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v ?v H1: ? ?v c. The test statistic ?v= (please show your answer to 3 decimal places.) d. The p-value : (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly…