Find the mean, variance and the coefficients B1, B2 of the distribution : dF = kx²e* dx = 1,0 < x <∞. %3|

Q: ollect the Data n = 30 x = 21 In other words, define the random variable P′. State the estimated…

A: Given, n=30 x=21

Q: Find the value of t0.005 for a t-distribution with 28 degrees of freedom.

A:

Q: The distribution of scores on a mathematics placement exam is close tonormal. Where the mean is x¯ =…

A: 68-95-99.7-rule:Let X be an observation from a normal distribution, having mean µ and standard…

Q: Find the area to the left of z = -1.5 Solution: Dr sh

A: P(Z&lt;-1.5)=?

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those…

A: Given ,Mean , 100Standard deviation , 15 Also , the given graph is : We have to find the area of the…

Q: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/45…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the z-score that has 88.7876% of the distribution's area to its right. The Z-score is (Round to…

A: the​ z-score that has 88.7876% of the​ distribution's area to its right.

Q: Find the z-score that has 77.3% of the distribution's area to

A: We need find the z score that has 77.3% of the distribution's area to its right. That is,…

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone…

A: We have given thatMean(µ) = 0Standard deviations (σ) = 1X ~ N (µ, σ )= N(0,1)

Q: Hw 14 X~N(12,3) Find the 87.7 percentile X.

A:

Q: 5. Losses X follow a paralogistic distribution with 0 =5000 and a = 3. An insurance coverage for X…

A: Given : θ = 5000α = 3

Q: A group of college students were surveyed to learn how many times they visited a dentist in the…

A: given data y p(y) y*p(y) 0 0.17 0 1 0.48 0.48 2 0.35 0.70     Σy*p(y) = 1.18

Q: For a t distribution with n =11, what is the tvalue such that: 10% of the area under the t…

A: The sample size is, n = 11 The degree of freedom is, df=n-1   =11-1   =10

Q: U(3, 92) mean and standard deviation

A: Given,A random variable X~U(3,92)f(x)=189  ; 3≤X≤92

Q: A distribution of values is normal with a mean of 199.9 and a standard deviation of 82 Find the…

A: Here, µ = 199.9, σ = 82.

Q: Find the  z -score for which  95%  of the distribution's area lies to its right.       −1.36…

A: given data  standard normal distribution  Z~N(0,1) area to the right of z = 0.95 Z = ?

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: Use R to determine P(3.1<ỹ<5.1) for a Normal distribution with a mean of 4.3 and a standard…

A: Use R programming

Q: Given the probability density function f(x) = over the interval [1, 6], find the expected value, the…

A: Given: The Probability density function: fx = 15  over the interval [1, 6] Formula Used: The…

Q: X values: 2, 1, 6, 1, 1, 1 For each X, compute a deviation from the mean and place those deviations…

A: Given data values of X2, 1, 6, 1, 1, 1The mean of the data is calculated as shown belowMeean = 2

Q: The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/45…

A:

Q: Z-score =1.32 Mean =5 Standard devaition =2 What is the value of X?

A:

Q: The amount of time spouses shop for anniversary cards can be modeled by an exponential distribution…

A:

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: You are conducting a study to see if the probability of catching the flu this year is significantly…

A: We have to find p value..

Q: Find the z-score for which 80% of the distribution's area lies to its right.

A:

Q: Find the z-score for which 89% of the distribution's area lies between -z and z. -1.5982, 1.5982…

A:

Q: Find the z-score for which 69% of the distribution's area lies between -z and z. -1.0152, 1.0152…

A: Z be a standard normal random variable. then z ~ N(0,1)