Approximate the following binomial probabilities by the use of normal approximation. a. P(x< 12, n = 50, p = 0.3) b. P(12

Q: (a) In a random sample of 186 children taken more than a decade ago, what is the probability that 50…

A: a) n=186 More than a decade ago, high levels of lead in the blood put 83% of children at risk. Let X…

Q: Q1. Many track hurdles believe that they have a better chance of winning if they start in the inside…

A: We must first find the predicted frequency for each starting position, presuming that the chances of…

Q: Q2: According to the American Automobile Association (AAA), the average cost of a gallon of regular…

A: The question is about sampling dist. Given : Popl. mean cost of a gallon of regular unleaded fuel (…

Q: Assume that Z is a number randomly chosen from a standard normal distribution. Use the standard…

A: Note:- Since you have posted a question with multiple subparts, we will provide solutions only to…

Q: Assume that the sample is a simple random sample obtained from a normally distributed population of…

A: The given table is,

Q: Find the following probabilities. 2. P(z < -3.72) 3. P(z < 1.81)

A: To find these probabilities we use standard normal probability table. 2.…

Q: Draw and find the probabilities for the following:  a. between these values: z= -1.43 and 0.68  b.…

A: We have to find given probability by using z table...

Q: 1) More than a decade ago, high levels of lead in the blood put 88% of children at risk. A concerted…

A: Given that more than a decade ago for  high blood leads level 88% of the children at risk. Le p be…

Q: A study of the amount of time it takes a hiker to hike to the bottom of the Grand Canyon and back to…

A: Given: μ = 12 σ = 2.4 n = 9

Q: Use the attached normal table to compute the following probabilities: (a) P(z < −0.46)   (b)…

A:

Q: P(z>1.2) P(z≤-1.2) P(-0.8≤2≤ 1.2) P(-2.5<z<-0.5) P(0.35 ≤z<2.75)

A: We have to find given probability.…

Q: ne value of the following probabilities. Write your answer v n in percentage (i.e. 0.2612). 2.88) =…

A:

Q: Refer to the accompanying​ table, which describes results from groups of 8 births from 8 different…

A: Mean(μ)=E(X)=∑X.P(X)E(X2)=∑x2.P(X)variance(σ2)=E(X2)-E(X)2Standard deviation(σ)=E(X2)-E(X)2

Q: Data is drawn from a binomial (5, 0) distribution, where is unknown. Here is the table of…

A:

Q: Use the normal approximation to find the probabilities for the specific value(s) of X. a. n= 10, p =…

A: GivenAt random variable x ~Binomial(n,p)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1,...,na)n=10p=0.5

Q: According to the American Time Use Survey, Americans age 15 and over spend an average of 2.86 hours…

A: Solution-: Given: μ=2.86,σ=1.21 We want to find, (a) P(x&lt;2.77)=? (b) P(x¯&lt;2.77)=?

Q: Approximate the following binomial probabilities by the use of normal approximation.  P(12  x 18, n…

A: Here,

Q: You are playing a card came, and the probability that you will win a game is p = 0.19. If you play…

A: Given information: A card game is played. The probability of winning the game is denoted by p. And,…

Q: You are playing a card came, and the probability that you will win a game is p = 0.78. If you play…

A: P(win game) = p = 0.78sample size (n) = 1290x = no. of times game wonfind mean, standard deviation…

Q: Suppose approximately 65% of all students study after midnight. For random sample of n=3 students,…

A: givemn data binomial distributionn = 3p = 0.65P(x=X) = nCxpxqn-x

Q: Find the probabilities for the following z-scores: 1. p(z -0.25) 3. p(z 1.68)

A:

Q: Assume that the probability of a being born with Genetic Condition B is p = 7/12. A study looks at a…

A: From the given information, Consider, Sample size (n) = 607 Sample proportion (p) =7/12

Q: (d) v = 20: P(|x²| ≤ 25.038) =

A: d. v=20 P(|χ2|≤25.038)Using Excel software=CHISQ.DIST(25.038, 20, TRUE)=0.800018813

Q: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

A:

Q: If Z is a normal random variable with mean 0 and standard deviation 1, find the following…

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Q: Assume that the standard deviation of monthly rents paid by students in a particular town is $40. A…

A: The sample size n is 100 and the standard deviation is 40.

Q: The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68…

A:

Q: and x be a normal random variable wit andard deviation o= 8. Find the following probabilities and…

A: Given that.   X~N( μ , ?)   μ=15     , ?=8   NOTE:- According to bartleby guidelines expert can…

Q: As shown in the table below that gives the age distribution of individuals starting university…

A: Given information: The data represents the continuous frequency distribution of ages.

Q: The distribution of all registered nurses salary on the treasure coast is known to be normally…

A: Let X be the random variable from normal distribution with mean (μ) = $59,350 and standard deviation…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…

A: Given Information: IQ scores are normally distributed with a mean of μ=100 and a standard deviation…

Q: Let the variable Z stand for a standard normally-distributed variable. Find these probabilities  a.…

A: standard normal distributionZ~N(0,1)

Q: 777Find the following probabilities. Draw a picture of the normal curve and shade the relevant area…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Find the probability that a randomly selected adult has an IQ between 91 and 119.

A: Let X denote the IQ scores of the adults. Given that X follows N(mean = 105, SD = 15), then  Z = (X…

Q: decided to proceed with production unless it can be determined that p is too large; the borderline…

A: From the given question,  A manufactured has created a new type of washer less faucet. Let P be the…

Q: 6. Use the tables provided to give your best estimate to the probabilities: a. P(Z>1.9) b. P(t6…

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

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.