The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20-39 who regu. skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size n = 500 of young adults ages 20-39 in the United States. Apply the central limit theorem to find the probability that the number of individuals, X, in Lance's sample who regular skip breakfast is greater than 122. You may find table of critical values helpful. Express the result as a decimal precise to three places.

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A: X ~ Binomial (n , p) ______________________ P(X = x) = nxpx(1-p)n-x ; x = 0,1,2,..,n

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A: Given Information: The incomes of all families in a particular suburb can be represented by a…

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A: Obtain the approximate probability that there are exactly 10 defectives in the batch. The…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17…

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Q: Suppose that 1 in 5,000 light bulbs are defective. ABC Lightco has just received a shipment of…

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A:

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A:

Q: Assume the petal length of a population of plants of species A is normally distributed with a mean…

A:

Q: United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages 12–59…

A: Given Data population proportion,p = 0.179 sample size n = 1000

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A: Given that in an automated filling operation, when the process is run at slow speed, the probability…

Q: The total area under the curve is 1 b) If 3% of electric bulbs manufactured by a company are…

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Q: The United States Department of Agriculture (USDA) found that the proportion of young adults ages…

A: Given Information: p = 0.238 n = 500 Let X be the number of individuals who regularly skip breakfast…

Q: Suppose the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

A: Let X be the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

Q: A particular brand, X, is known to have a market share of 35%. Suppose that in a survey, 2000 consum…

A: Givenp=0.35n=2000By using normal approximationMean(μ)=n×p=2000×0.35=700standard…

Q: A sociologist randomly selects single adults for different groups of three, and the random variable…

A: It is given that X denote the number of adults in the group who say that the most fun way to flirt…

Q: The amount of time it takes Marc to wait for the bus is continuous and uniformly distributed between…

A: Let x denote the waiting time for bus. X~U(3,14).

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: Solution Answers is o.119

Q: Workers at a large toxic cleanup project are concerned that their white blood cell counts may have…

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Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: It is given that the, The probability that a randomly selected adult in one country being infected…

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A: The manager of a movie theater determines that the average time movie goers wait in line to buy a…

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A:

Q: The personnel director of a manufacturing company wants to estimate the average mechanical aptitude…

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A: Let the testing kit of Oliver accurately identifies the disease with a probability of p. Probability…

Q: Suppose that X is a random variable with E(X)=10, Var(X)=2. Using Chebyshev inequality, estimate the…

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Q: Calculate the probability that is between 0.2  and 0.7, if x is uifomly distributed in  the interval…

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Q: Assume that on weekdays after the morning rush hour but before the evening rush hour the wait time…

A:

Q: If the probability is 0.20 that a certain bank willrefuse a loan application, use the normal…

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Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: Given sample n = 30  Probability of infected = 0.004

Q: Suppose that we draw three cards (with replacement) from a standard deck containing 52 cards. Let X…

A: Given: Total number of cards is 52. Number of black card is 26. Let X be the number of black cards…

Q: The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages…

A: Given dataP = 17.9% =0.179n = 1000MP = P = 0.179σP = P(1-P)n =0.179(1-0.179)1000 = 0.012

Q: The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages…

A: We have to find probability of proportion is greater than 0.206

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A: The objective is to show the first moment does not exist for cauchy distribution

Q: 2) The battery life of a phone is an exponential random variable with mean 40 hours. Suppose that 20…

A: Consider X is the life time of phone Here, the random variable X follow the exponential distribution…

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16…

A:

Q: The United States Centers for Disease Control and Prevention (CDC) found that 17.9% of women ages…

A: From the provided information, Sample size (n) = 1000 17.9% of women ages 12-59 test seropositive…

Q: A survey of all medium and large-sized corporations showed that 63% of them offer retirement plans…

A: Given From the information, Let n be the sample size = 50 Let p be the population proportion = 0.63

Q: The probability of a randomly selected adult in one country being infected with a certain virus is…

A: Given P(infected)=0.004 Sample size=24 P(not  infected)=0.996

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 16…

A: Let the R.V X denotes the number of defective pens and it follows the binomial distribution with…

Q: (b) Find and interpret the probability that a randomly selected fertilized egg hatches in less than…

A:

Q: The reaction time X (in minutes) of a certain chemical process follows a uniform probability…

A: The reaction time X (in minutes) of a certain chemical process follows a uniform probability…

Q: The time it takes me to wash the dishes is uniformly distributed between 12 minutes and 22 minutes.…

A:

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: It is given that p=0.52 and n=560.

Q: 2) A data packet consists of 10,000 bits, where each bit is a 0 or a 1 with equal probability.…

A: Given Information:- P(x = 0) = 0.50 P(x = 1) = 0.50 n = 10,000 x = 5200

Q: According to a recent study, some experts believe that 28% of all freshwater fish in a particular…

A: Given, n = 250 population proportion, p = 0.28 np = 70 and n(1-p) = 180 both are > 10

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.