The number of (large) incousions in cast iron follows a Poisson distribution with a mean of 2.5 per cubic millimeter. Approximate the probability that more than 2550 inclusions occur in a cubic centimeter.

Q: If the graph of the normal distribution has a mean of 2 and the standard deviation of 0.5, the are…

A: Yes, the area under the graph is equal to 1 for a normal distribution with a mean of 2 and a…

Q: Find the area under the standard normal distribution curve if z=± 1.35. a. 0.8232 b. 0.4115 c.…

A: Standard normal score: The standard normal score follows normal distribution with mean 0 and…

Q: The 87th percentile is (Round to two decimal places as needed.)

A: It is given that  Mean, μ = 50 Standard deviation, σ = 7

Q: Suppose data X1, ..., Хп, п> 30 are sampled from the population. According to central limit theorem,…

A: We want to tell you above statement is true or false

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: Find the z value so that 7.49% of the area under the distribution curve lies to the right of it.

A: Seeing in the table for the 100%-7.49% =92.51% =0.9251 or closet value Required z-score would be

Q: Suppose X has a Weibull distribution with B = 3 and 8 = 4000 . What is P(X > 4500)?

A:

Q: What proportion of the ball bearings will meet the specification?

A: Let X denote the diameters of ball bearings. Given that X follows N(mean = 2.505, SD = 0.008), then…

Q: Given a normal distribution with MEAN = 50 and SD = 10, find the probability that X assumes a value…

A:

Q: Which proportion of a normal distribution is located between z = 0 and z = +1.50?

A: Solution: Here, it is needed to find the proportion of a normal distribution is located between z=0…

Q: A rv X has a normal distribution with o=10. If the prob is 0.8212 that it will take on a value…

A:

Q: If four healthy adults are randomly selected, find the probability that their mean 25-OHD level is…

A: P(X<50)=0.2675 (from graph)

Q: In another species of fish, it can safely be assumed the population standard deviation for mercury…

A: The population standard deviation for mercury readings will not exceed 0.10 ppm, the sample mean…

Q: Assume that adults have IQ scores that are normally distributed with μ=38 and a standard deviation…

A:

Q: Find the area under the normal curve and above the interval ​[44​,57​] on the horizontal axis.

A: given data, normal distribution μ=50σ=5we  have to find out the p(44<x<57)=?

Q: Q5. Boiling point measurements for a liquid under fluctuating pressure conditions is normally…

A:

Q: A Cl estimate is designed for the gain in the circuit on a device. Assume that gain is a normal…

A:

Q: Assume the random variable X is normally distributed with mean µ = 50 and standard deviation o= 7.…

A: Z is known as standard normal variable and it's value is obtained using standard Normal table

Q: Find a z - value to the left of the mean so that 92.79% of the area under the distribution curve…

A: The objective of this question is to find the z-value that corresponds to a given percentage of the…

Q: Find the probability that x(bar) is < 40.5.

A: It is related to probability . It is widely used in statistics .

Q: The score on a standardized test for a certain year is modeled using the normal distribution shown…

A: It is given that the mean is 56.7 points and the standard deviation is 4.8 points.

Q: Find the S.D. of a binomial distribution where, Mean is 5 and μ3 = 0.5.

A:

Q: A vertical line drawn through a normal distribution at z = -0.72 separates the distribution into two…

A: Given :  A vertical line drawn through a normal distribution at z = -0.72 separates the distribution…

Q: The capacitances of certain electronic components have a normal distribution with a mean u = 175 ar…

A: Given : The capacitances of certain electronic components have a normal dist. with  Mean (μ) = 175…

Q: The age of children in kindergarten on the first day of school is uniformly distributed between 4.88…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: the area under the standard normal distribution between -1 and 1 is: a. 0.1388 b.0.1668 c. 0.4332…

A: Given Options : a.  0.1388 b.  0.1668 c.  0.4332 d.  0.6826

Q: Find the mgf of the random variable Y = e¬^X when X ~ Exp(X). What is the name of the distribution…

A:

Q: What is the probability, to 4 decimal places, that the current measurement in a strip of wire…

A: Explanation:Here given the current measurement of wire exceeds value 7 ma asking what is the…

Q: Consider a normal distribution curve where 95-th percentile is at 14 and the 30-th percentile is at…

A: Let X denotes the random variable 95th percentile  is 1430th percentile  is 9To find Mean μ and…

Q: We can use the central limit theorem when n<30 provided the population follows a normal…

A: The central limit theorem (CLT) is a fundamental concept in statistics that states that for a large…

Q: Consider the normal distribution with mean 52 and standard deviation 20. Find the area under the…

A: mean = 52 sigma = 20

Q: The hypergeometric distribution is used for situations when sample observations are replaced in the…

A: False

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

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 20 Let X be a random variable…

Q: The area under the standard normal distribution curve between z =−1.2 and z= 1.

A: given, z1 =−1.2 and z2 = 1 From normal distribution table, the area under the normal distribution…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…

A:

Q: Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Find…

A: Solution:From the given information, mean value is 50, standard deviation value is 7. Let the random…

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.