Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. You can assume it meets the requirements to do so. A product is manufactured in batches of 860 and the overall rate of defects is 4%. Find the mean and standard deviation of the number of defects in each batch. Find the probability that a randomly selected batch contains no more than 25 defects.

Q: The weight of all cars traveling on interstate highway I-84 is normally distributed with a mean of…

A: From the provided information,

Q: Give the formula for calculating percentiles of a continuous distribution.

A: Here we have to give the formula for calculating percentile of a continuous distribution

Q: Use a normal distribution to estimate the probability of more than 55 girls being born in 100…

A: Given that, The Mean and Standard deviation are, Check the conditions of normal approximation to…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Solution

Q: The processing time for the robogate has a normal distribution with mean 23 sec and standard…

A: Given: The mean of the processing time μ=23 sec The standard deviation σ=2 sec.

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: The binomial distribution can be used to model the daily number of pedestrian bicycle crashes on…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: Suppose z is a normal random variable. If you need to find P ( Z > 1.84 ), explain how to shade the…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ, where µ and σ are the mean…

Q: The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer…

A: Population mean=1400Population variance=10000Population standard deviation =√Variance=√10000=100

Q: In a Binomial distribution mean 4 and variance is 2. Find the mode of %3D Binomial distribution.

A: Given that Mean = 4, Variance = 2 Find Mode = ?

Q: The time it takes to drive through the middle of campus follows a uniform distribution with a…

A:

Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: A researcher wishes to estimate the average height of men for a certain region of the country. If…

A: Probability is the measure determine the likelihood of an event. Event is the outcome of an…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 7…

A: Given information- Mean waiting time, µ = 7 minutes The variance of the waiting time, σ2 = 4 So, the…

Q: Sketch the distribution, show the mean and standard error, and shade the part of the curve…

A: It is given that, n = 200 and p = 0.34.

Q: Let X be a random variable representing the number of times that you have to roll two dice until you…

A: Here, the given context follows negative binomial distribution with k = 10 and p = 118 (probability…

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: We have given that,  Let X be the random variable from normal distribution with mean (x̄) = 910 and…

Q: A normal distribution (X) has a mean of 100 and a standard deviation of 10. What is the probability…

A: A normal distribution (X) has a mean of 100 and a standard deviation of 10.

Q: Burger Hut sells 224 burgers on an average day, with a variance of 9 burgers. How many burgers…

A: Given: Population average number of burgers sold μ=224 Population variance σ2=9 Here, the number of…

Q: A detergent company finds that a family in the country washes an average of 910 kilograms of clothes…

A: Given that: X is normal Distributed with mean µ = 910.0 and standard deviation σ = 85.0 By using…

Q: An unknown distribution has a mean of 40 and a standard deviation of 8. A sample size of 50 is drawn…

A: Given Information is -Sample size, .Mean, .Standard deviation, .

Q: The processing time for the robogate has a normal distribution with mean 21 sec and standard…

A:

Q: At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is…

A:

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: A die is tossed twice. Getting a number greater than 4' is considered a success. Find the mean and…

A: Given that  A dice tossed twice  n=2 Sample space=S={1,2,3,4,5,6} Required outcomes=(5,6) p=2/6=1/3…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

A: From the provided information,

Q: Suppose that 40% of Americans drink soda every day. Amy, a researcher at a local university, takes a…

A: Answer:- Here the random variable X has binomial distributionThe sample size is: Probability of…

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: In a poisson distributed character, the mean number of events is 6. Find the variance.

A:

Q: Please Find the mean and variance of Binomial variable X having p=0.09 and n=2.

A:

Q: Suppose the annual earnings of clinical pharmacists follows a normal distribution. A sample of 30…

A: Given Let n, sample size=30

Q: Brenda has collected data to find that the finishing times for cyclists in a race has a normal…

A: Given the finishing time for cyclists in a race has normal distribution with mean 143 minutes and…

Q: The scores on a national achievement exam are normally distributed with a mean of 500 and a standard…

A: Given data: Mean =  500 Standard deviation = 100 To find: P( X < 600 ) = ?

Q: The mean time for a group of adults to complete a certain achievement test is 38.8 minutes and the…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 4…

A: Given that  μ=4σ=9

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.