The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly 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 regularly skip breakfast is greater than 126. You may find table of critical values helpful. Express the result as a decimal precise to three places.

Q: Suppose a life insurance company sells a $270,000 one-year term life insurance policy to a…

A: Formula for expected value :  Expected value= ∑xP(x)

Q: The incomes of all families in a particular suburb can be represented by a continuous random…

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

Q: During certain time periods at a​ hospital, patients arriving at the emergency room have waiting…

A: In statistics theory, the uniform distribution is the distribution which can be defined as both…

Q: A park ranger is searching for bears in a region of the park where on average there are 5 bears per…

A: Let X be the random variable which takes the values as the number of bears the park ranger found in…

Q: According to a Gallup poll, pepperoni is the favorite pizza topping for 31% of American children. If…

A: Given data pepperoni is the favorite pizza for 31% of American children And sample given is 150…

Q: A harried passenger will be several minutes late for a scheduled 10 A.M. flight to NYC.…

A:

Q: The time it takes me to wash the dishes is uniformly distributed between 20 minutes and 40 minutes.…

A: We want to find probability  P(28<X<34)

Q: With continuous random variables, we never calculate the probability that X has a particular…

A: The continuous random variable takes any values within two admissible values and the probability…

Q: The amount of time you have to wait at a dentist office before you called in is uniformly…

A: Let X be a random variable repressing amount of time you have to wait at a dentist office before you…

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

Q: The probability that an integrated circuit chip will have defective etching (E) is 0.13, the…

A: The probability that an integrated circuit have defective etching is 0.13. The probability that it…

Q: Ignaz Semmelweiss (1818-1865) was the doctor who first encouraged other doctors to wash their hands…

A: The question is about sampling. dist. of sample prop. Given : Popl. prop. of infection ( p ) = 0.1…

Q: A sample of size 200 is taken at random from an infinite population. Given that the population…

A:

Q: In an automated filling operation, when the process is run at slow speed, the probability of an…

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

Q: The following function has been obtained for daily refrigerator sales in a white goods store. What…

A: For the daily refrigerator sales in a white goods store the function is given as:   X : the daily…

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 that the time between calls at a customer service center, X, has an exponential distribution…

A:

Q: The time taken to register for a course during 9.00-9.30am of the registration day is approximately…

A: Let us define the random variable X as the time taken to register for a course follows uniform…

Q: What is the minimum value of  k in Chebyshev's theorem for which the probability that a random…

A:

Q: b) The time a data packet requires to arrives to its target destination is an exponential random…

A: The word probability comes from the word probable, meaning 'likely but uncertain'. Thus the…

Q: In a genetics experiment on​ peas, one sample of offspring contained 434 green peas and 24 yellow…

A: Obtain the probability of getting an offspring pea that is green.   The probability of getting an…

Q: he table summarizes results from 984 pedestrian deaths that were caused by automobile accidents. If…

A:

Q: An engine encounters a standard environment with a probability of 0.9, and a severe environment with…

A: Let M be the event representing an engine encounters a standard environment. Let N be the event…

Q: d) Use Poisson approximation to find the probability that the sample contains at most 1defective…

A: Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials…

Q: What is the theoretical probability of rolling a 8-sided die 2 times in a row, and all of them…

A: Sample space (S): Total possible outcome n(S) = 8*8 = 64

Q: The joint probability function associated with data obtained in a study of auto-mobile accidents in…

A: Before we solve (v) let us find the value of m.…

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

A: Given Information: Let x be a random variable that represents white blood cell count per cubic…

Q: For a given electronic component, it has been shown that it is necessary to restart once every 250…

A: INTRODUCTION:  Definition: Conditional Probability  suppose A and B are any two events. the…

Q: For a group of four 40-year old men, the probability distribution for the number xx who live through…

A: E[x] = ∑xP(x)

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

A:

Q: A local jam production company is confident that 60% of the population will like its new grapefruit…

A:

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

A: Solution : Given that : p = 0.238n = 500mean = np            = 500 × 0.238            = 119sd =…

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: Show that the Cauchy probability distribution does not have the first moment that is, E(X) does not…

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

Q: The time it takes me to wash the dishes is uniformly distributed between 6 minutes and 15 minutes.…

A:

Q: d. Assume that Google has designed its servers so there is probability 0.01 that the number of…

A: It is given that the mean is 2,800 and standard deviation is 860.

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 local jam production company is confident that 60% of the population will like its new grapefruit…

A: Given that, p = 0.60 (i) If 200 persons taste the new grapefruit jelly, the number of persons who…

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

A: Here, E = 2, σ=15, and p=0.99.

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: Given ,      The probability of defective capacitors = 815     i.e P = 815 = 0.533a) ut 'x' be the…

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

A: Population proportion: P=0.238 Sample size= n= 500 a) To find probability that number of…

Q: In a random sample, 126 of 400 persons given a flu vaccine experienced some discomfort. what can…

A: Given,n=400x=126p^=xn=126400=0.3151-p^=1-0.315=0.685α=1-0.95=0.05α2=0.025Z0.025=1.96

Q: The travel time for a college student traveling between her home and her college is uniformly…

A: From the information, travel time for a college student traveling between her home and her college…

Q: If X is exponentially distributed, prove that the probability that X exceed its expected value is…

A:

Q: t is believed that the percent of female STEM majors at a particular college Is 29%. c)Use the CLT…

A: Given: The probability of female STEM majors at a particular college is p^=0.29. The sample number…

Q: If X denotes the sum of the numbers obtained when 2 dice are thrown, obtain an upper bound for P{\X…

A:

Q: Calculate the probability that the contract was awarded to textile distributor K given that the…

A: P( K win the  contract ),PK=0.4 P( L win the  contract ),PL=0.3 P( M win the  contract ),PM=0.3 P( K…

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8…

A: Given, A factory received total 15 capacitors In that there are 8 capacitors are defective

Q: Find the marginal probability of X = 1.

A: Given:     Y     1 2 3 X 1 0.05 0.05 0 2 0.05 0.1 0.2 3 0.1 0.35 0.1

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.