Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for finding out:     i) P(X>10) ii) P(9

Q: An insurance company holds fraud insurance policies on 6,000 firms. In any given year the…

A: Given data, Average(Lamda)=6000*0.001=6 claims per year P(Atleast 3 claims)=?   Poission…

Q: A multiple-choice examination consists of 65 questions, each having possible choices a, b, c, and d.…

A: GivenNo.of question(n)=65p=14=0.25       (1 correct answer 4 choices i.e., A,B,C,D)Let "x" be no. of…

Q: According to an article, 72% of high school seniors have a driver's license. Suppose we take a…

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

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Q: if np greater than or equals 5 and nq greater than or equals 5, estimate Upper P left parenthesis…

A: Given: n = 14, p = 0.4, q = (1 – p) = 1 – 0.4 = 0.6 Following conditions must be satisfied to use…

Q: The binomial distribution can be used to model situations where a) A researcher is observing the…

A: The Binomial distribution can be used to model situations where: A researcher is observing the…

Q: A Binomial distribution is symmetric at p =1/2 and approaches symmetry when n approaches infinity…

A: Given: p = 12 = 0.5 n→∞ Formula Used: If  a random variable X follows Binomial distribution then its…

Q: Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

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

A: Given: Sample size (n)=85Probability (p)=0.25 Here we use Normal approximation to binomial with…

Q: A multiple-choice examination consists of 100 questions, each having possible choices a, b, c, and…

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Q: You obtain 255 successes in a sample of size ni 521 from the first population. You obtain 140 346…

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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: an insurer receives independent claims of the same law of probability of E(X)=10 and standard…

A: INTRODUCTION :  POISSON DISTRIBUTION : let X be a discrete random variable . then the poisson…

Q: 5. Using moment-generating functions, show that as oo, p0, and and p tends to the Poisson np -2, the…

A: Let X be the random variable which follows binomial distribution with parameters n and p.The PMF of…

Q: A company performs inspection on shipments from suppliers to detect nonconforming products. Assume…

A: The hypergeometric distribution is given by: PX=k=KkN-Kn-kNn where N is the population size, K is…

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

A: Introduction:If a random variable X is uniformly distributed in an interval (a, b), then the…

Q: A multiple-choice examination consists of 90 questions, each having possible choices a, b, c, and d.…

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Q: From a population that is normally distributed, a sample of 20 elements is selected and the standard…

A: From a population that is normally distributed, a sample of 20 elements is selected and the standard…

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: 9) In a city, one out of 50 adults smokes cigarette. A random sample of 120 adults were chosen.…

A: Given that, In a city, one out of 50 adults smokes cigarette. A random sample of 120 adults were…

Q: A manufacturing process produces semiconductor chips with a known failure rate of 7.6% . If a…

A: Given data: P = 7.6 % Sample size  = 240 To find: The probability that at least 18  will be…

Q: ibution formula. (b) using the normal approximation with

A: A fair coin is to be tossed 20 times n=20. P(Heads)=0.5 P(Tails)=0.5 total possible no. of…

Q: Suppose that only 0.1% of all computers of a certain type experience CPU failure during the warranty…

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Q: The juror pool for an upcoming trial contains 100,000 individuals in the population who may be…

A: Given : The juror pool for an upcoming trial contains 100000 no. of individuals in the population…

Q: A city in the shape of a rectangle stretches 5 kilometers from west to east and 3 kilometers from…

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Q: A machine produces 1000 steel O-rings per day. Each ring has probability 0.9 of meeting a thickness…

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Q: Supposed that in this time of the pandemic , 50 % of the population in a certain province had…

A: (a)   Obtain the probability that more than 60 people receive financial aid.   The probability that…

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

A: Let X be the number of correct answers. Given: Trials, n=85 Random variable,x=22 Probability of…

Q: A researcher believes that about 75% of the seeds planted with the aid of a new chemical fertilizer…

A: Given data,p=75%=0.75n=175P(X>133)=?

Q: Samples of size 20 are drawn from lots of 100 items, and the lots are rejected if thenumber of…

A: Given Information Total items(N) = 100 Sample size(n) = 20 p =0.05 Number of defectives in the lot…

Q: All maximum possible random samples of size 4 are drawn from the finite population comprisi of…

A: a) From the given information, the sample size is n=4. The population units are X=3, 5, 7. Central…

Q: Suppose that X - Binomial (100, p). Consider the hypothesis test Ho : p = 0.5 versus HA: p0. Define…

A: From the given information, H0:p=0.5HA: p≠0.5 Rejection region: RR=x-50>10 a) Consider,…

Q: Suppose you have a random sample X1. X2,.X, where: • X = 1 if a randomly selected student uses a car…

A: Given information: Given that the ransom sample X1, X2, … , Xn are binomial random variables.

Q: uppose that X is a binomial random variable with n = 100 and p = 0.1. Find the probability P (X≤15)…

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Q: A multiple-choice examination consists of 100 questions, each having possible choices a,b,c, and d.…

A: Given: Let n be the total number of multiple-choice questions; that is; (n=100). Let p be the…

Q: This exercise looks at how well the Poisson distribution approximates the binomial distribution.…

A: From the given information,   Sample size (n) =363 Probability (p) = 0.003 Thus,

Q: Suppose that An is a sequence of random variables that converges inprobability to 3. Suppose that Bn…

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Q: A manufacturer of computer chips produces 10% defective chips. 200 chips are randomly selected from…

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Q: the highest grade for Florida oranges is U.S. Fancy and is based principally on color. Suppose that…

A: Given Data: n=44 p=0.4 Mean=44*0.4=17.6 SD=sqrt(44*0.4*0.6)=3.25   Using binomial to normal…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some…

A: Given information: Trials, n=5 Probability of success on a single trial, p=0.227

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some…

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Q: Two movie theaters compete for the business of 1,000 customers. Assume that each customer chooses…

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Q: If it can be assumed that the binomial parameter θassumes a value close to zero, upper confidence…

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

A: Here, the value for 0 and 7 repeated twice. Hence, consider During certain time periods at a​…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some…

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Q: The Pareto distribution with parameters x0 and a (X, > 0 and a > 0) is defined in Exercise 16 of…

A: Take Y=log(X/x_0).

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

A: Given Data n= 35P= 0.25Let x be random variable denoting  no of correct choices out of 85…

Q: 3. A manufacturer of computer chips produces 10% defective chips. 200 chips are randomly selected…

A: Given, n=200 p=0.1 np=200x0.1=20 ≥5 n(1-p)=200x(1-0.1)=180 ≥5  we can use normal approximation.…

Q: If np greater than or equals 5 and nq greater than or equals 5 ​, estimate P(fewer than 5) with n=…

A: Normal approximation to the binomial: From the given information, sample size, n = 13. The…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Use either…

A: Given : Let K : No. of successes Prob. of failure (q)=0.47 Prob. of successes (p)=1-0.47=0.53 No. of…

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.