Use the normal approximation to the binomial to calculate the probability of getting more than 39 defectives in a random sample of 400 taken from a population which is 8% defective.

Q: Suppose that half of all students (50%) in campus dormitories are dissatisfied with the food…

A: Normal distribution used as an approximation to the binomial distribution         i.e., x ~ B(n,p)…

Q: has been determined that the chance of becoming infected by a disease after contact with a…

A: n=50 p=0.15 x=? Using binominal distribution: P(X=x)=50x 0.15x(1-0.15)50-x   =50x0.15x(0.85)50-x

Q: Find the Z score associated with a tail probability of 0.3336

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Q: Suppose that 20% of the people in a large city have used a hospital emergency room in the past year.…

A: Let p be the probability that a person used a hospital emergency room. Given that p = 0.20 Let X…

Q: The probability of an integrated circuit passing a quality test is 0.86. In batch of 10 integrated…

A: Here Given  Probability of success= 0.86  so Probability of fail = 1- 0.86 = 0.14=p Sample size= n…

Q: A popular resort hotel has 700 rooms and is usually fully booked. About 6% of the time a reservation…

A: Bernoulli distribution is used to measure the experiment has two outcomes. The experiment is…

Q: Use the normal approximation to the binomial to find the probability for n=,10 p=0.5 and X≥8. Round…

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Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…

A: Assuming that the probability of vaccine effect on each individual to be p=0.8 then assuming X is…

Q: A new experimental process for manufacturing a circuit for quantum computers is successful 80% of…

A: The binomial probability rule states that the probability of (x) success and (n-x) failures in (n)…

Q: Use the normal approximation to the binominal to approximate the probabilities. *Using A Ti-84…

A: Normal approximation to the binomial:From the given information, it is clear that n = 120The…

Q: According to the Bureau of Transportation​ Statistics, 81.9​% of American Airlines flights were on…

A: From the given information, Consider, X be the random variable that shows flights will arrive on…

Q: Solve the question by using RStudio. In a digital communication channel, assume that the number of…

A: The pdf of a binomial random variable X is given by,  In this problem our random variable is the…

Q: From past experience a company knows that on average 5% of their concrete does not meet…

A: Given data: p = 5 % n = 2000 x = 75

Q: Assume that a procedure yields a binomial distribution with a trail repeated n times. Use the…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: Sixteen percent of adults contribute to charitable agencies on a regular basis. Using the binomial…

A: According to the given information, we have Given that 16% of adults contribute to charitable…

Q: An experienced invoice clerk makes an error once in every 100 invoices, on average. (a) What is the…

A: Given that, the sample size is n=100 and the probability that the clerk makes an error in an invoice…

Q: Use the normal approximation to the binomial to find the probability for n=10, p= 0.5, and x≥7.…

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Q: Ten percent of the population is left-handed. A class of 100 students is selected. Convert the…

A: When we use continuous distribution as an approximation to discrete distribution we apply continuity…

Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…

A:

Q: A survey indicates that 23% of US men select fishing as their favorite leisure activity. If you…

A: The mean is, μ=np=100×0.23=23 The standard deviation is, σ=np1-p=100×0.23×1-0.23=4.2083 The mean is…

Q: According to the ABC news, 45% students rented their text-book. A random sample of 500 students were…

A: Solution: Let X  represent the random variable that the number of students rented their textbook.…

Q: Suppose 75% of the age group 1 through 4 years regularly utilize seat belts. Find the probability…

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Q: Consider the probability that greater than 68 out of 141 houses will not lose power once a year.…

A: The normal approximation is appropriate to be executed when np≥5 and n(1-p)≥5. We are…

Q: At an airport, flights arrive on-time 92% of the time. Suppose 5000 flights are randomly selected.…

A: Given information: At an airport, flights arrive on-time 92% of the time. Suppose 5000 flights are…

Q: les are binomial. If values are not found in the binomial distribution table, use the binomial…

A: Given: n=300,p=25% = 0.25 The mean of number of accidents caused by bad weather is:

Q: Use a normal distribution as an approximation to the binomial probability distribution to…

A: Obtain the approximate probability of more than 13 successes in 20. The approximate probability of…

Q: Use the normal approximation to the binomial to find the probability for n=10 p=0.5and X≥8. Round…

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Q: Suppose only 40% of all drivers in a certain state regularly wear seatbelts. A random sampleof 400…

A: Given,n=400p=0.40mean(μ)=npμ=400×0.40=160standard deviation(σ)=np(1-p)σ=400×0.40(1-0.40)σ=9.79796

Q: Find the probability of x=19x=19 successes given the probability p=0.66p=0.66 of success on a single…

A: The probability of success is p = 0.66 Number of trials n = 20 Let X denote the number success in 20…

Q: As the value of p increases, the mean of the binomial distribution increases .

A: From the provided information, The distribution is binomial with probability p. X~B (n, p)

Q: Suppose that asthma affects 1 in every 20 children in a population. You take an SRS of 250 children…

A: Let, p= getting affected by asthma =120=0.05 n= sample size= 250 X = number of affected children.…

Q: 8. Find the first four moments of the binomial distribution.

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Q: At a particular hospital, records show that each day, on average, only 80% of people keep their…

A: Introduction: If X ~ Binomial (n, p), then the probability mass function of X is: Here, n is the…

Q: According to American Airlines, Flight 215 from Orlando to Los Angelas is on time 90% of the time.…

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Q: Suppose that the test score of a student taking the final of a probability course is a random…

A: Let X denote the test score of a student taking the final of a probability course. Given that Mean…

Q: Suppose that half of all students (50%) in campus dormitories are dissatisfied with the food…

A: n = 64 p = 0.5

Q: In a recent​ poll, 45​% of survey respondents said​ that, if they only had one​ child, they would…

A: (a) The probability that at least 84 would prefer a boy  is 0.1230 and it is obtained below: From…

Q: 4.    The local news reported that 6% of U.S. drivers text on their cell phones while driving.  If…

A: Given : p = 6% = 0.06 q = 1-p = 0.94 n = 300 Let, np = (300)(0.06) = 18 and nq = (300)(0.94) = 282…

Q: Assume that 64% of drivers ed students pass their driving test, and that this situation is modeled…

A: Binomial Distribution: If X is a discrete random variable and it is to follow Binomial distribution…

Q: Let the probability of winning a bet in a roulette game is 1/38.Find the probability of winning at…

A: The binomial probability formula is used when it satisfies the following conditions: There are only…

Q: According to the ABC news, 45% students rented their text-book. A random sample of 500 students were…

A: Givenp=0.45n=500x~Binomial(n=500,p=0.45)

Q: Suppose an admissions office determines that 40% of students who are accepted actually enroll in its…

A: It is given that n=800 and p=0.40.

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: Use the normal approximation to the binomial to find the probability for n=50, p=0.7, and x=39.…

A: Given information n = 50 p = 0.7 x = 39 Mean µ = np = 50 x 0.7 = 35

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: Use the binomial probability distribution formula to compute the probability that out of 10 coin…

A: We have given that  n = 10 Probability of getting head (p) = 1/2 = 0.5 Here we use binomial…

Q: Use the normal approximation to the binomial to find the probability for =n=, 11p, 0.5and ≥X8. Round…

A: Given that, Probability, p= 0.5 And sample size,n = 11 So X~ binomial (11,0.5) We know that mean of…

Q: For a marketing research it is known that the proportion women who use personal care products is…

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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.