Suppose that X-bin(65,0.2). Using the normal approximation to the binomial distribution, P(12.< X < 14.) Is closest to: O a. 0.30 Ob.0.26 Oc.0.36 O d.0.24 O e. 0.18

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

A: Let the random variable X follows normal distribution with mean μ=50 and standard deviation σ=7 The…

Q: d) Due to the symmetry of the normal distribution we know that P(X > 30) = P(X <

A: Givenμ=42σ=6Let "X"=length(in cm) of an eel

Q: ) What is the significance of the smaller standard deviation or Machine 2? Since Machine 2 has a…

A: Machine 1 Population mean μ1=12.4, standard deviations σ1=0.2 Machine 2 Population mean μ2=12.4,…

Q: Suppose X has a continuous uniform distribution over the interval -1,1. Determine the variance.…

A: GivenX has a continuos uniform distribution over the interval (-1,1)The corresponding density…

Q: Move to Archive x 0.3e If 1-.7et is the mgf of a well known function. It is Geometric mgf i) Its…

A:

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

A:

Q: Find the z score that has 66.3% of the distributions area to its right. (Round to 2 decimal places)

A: Answer:-  Given, Area to the right=66.3%=0.663 Here we need to determine the Z-score that has an…

Q: Find U, V, W, and the percentage total of the shaded region.

A: Here use basics of standard normal distribution and empirical Rule

Q: 7. Which of the following graph is the correct illustration of the notation P(Z b)? А. В. С. D.

A: Z be the standard normal variates  Then the notation :p(z&lt;a)u p(z&gt;b) ?

Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

A: Given, Let X= 4.9, 4.2, 4.5, 4.1, 4.4, 4.3

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A:

Q: Label the 7 points on the x-axis graph of each of the following curves that correspond to the values…

A:

Q: Suppose that Z comes from standard normal distribution. a) Find P( Z > -0.21) = ? b) Given P(-k<Z<k)…

A: a) P(z&gt;-0.21)=? =1-P(z&lt;-0.21) =1-0.4168 =0.5832

Q: elow is a graph of a normal distribution with mean μ = 2 and standard deviation o=4. The shaded…

A: Suppose the variable of interest is x.

Q: Prove that the E(X) = 1/p for a geometric distribution, where x is the number of trials.

A: The geometric distribution with probability that ranges from 0 to 1 is a discrete probability on the…

Q: Let ? denote the amount of time a randomly selected customer spends on hold with some insurance…

A: Obtain the probability that the average time spent on hold is within 1 hour of the population mean.…

Q: Let X represent the full height of a certain species of tree. Assume that X has a normal probability…

A: GivenMean(μ)=171.7standard deviation(σ)=91.5sample size(n)=242

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 -z and z such that 55% of the standard normal curve lies between –z and z.

A: Given data  55% of area of standard normal curve lies between -Z and Z.  we have to find value of -z…

Q: A random variable X is normally distributed with unknown mean u and variance o². If P(X > 9.5) =…

A:

Q: a) µ= b) σ-

A: P65 = 14 P40= 5 z-critical value at alpha (0.65) = 0.3853 z-critical value at alpha (0.40)  =-0.2534…

Q: Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic…

A:

Q: 4. (Normal Distribution) Setup: Define za to be a z-score with an area of a to the right. For…

A: Given information: zα is the z-score with an area of α to the right. PZ&lt;-z0.10=0.10

Q: 6.9 To enter the cumulative normal distribution table Þ(Z), calculate Z and Z at the spec limits.…

A: and the area to the right of the USL plus to the left of the LSL is 0.0456

Q: 3. For the binomial distribution with the given values for n and p, state whether or not it is…

A: Given  n=65 and p=0.7

Q: e. For the 16 runners, find the probability that their average time is between 23.1875 and 23.9875…

A:

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.