What is the distribution of X? What is P[X = 2]?

Q: A vertical line is drawn through a normal distribution at z = -1.20. What proportion of the…

A: Given - z = -1.20 Graph will look like and need to the shaded region -

Q: Find xổ.05 for x² distribution with 40 degrees of freedom. -0.05

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

A:

Q: What are the degrees of freedom for the x distribution for this test? d.f. =

A: The chi-square test is used to measure how well-observed frequencies of given categories match the…

Q: (a) What is the value of c? (b) What is the cumulatiive distribution function of X?

A: According to the answering guidelines, we can answer only one question and the rest can be reposted.…

Q: What type of test would you use to test that M&M follows their stated distribution?

A: Test is that whether M&M follows their stated distribution.

Q: Compared to the F distribution, the t distribution has?

A: T-test is used to compare the means of two populations. And F-test is used to compare two population…

Q: Find P (x > 3.24) for a standard normal distribution.

A: The standard normal distribution:A continuous random variable Z is said to follow standard normal…

Q: Suppose X follows a standard Normal distribution, find P(X < 1) P(X = 1) %3D

A: According to empirical rule, 68.27% of data lies within one standard deviation from the mean, 95.45%…

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

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: The table on the last page displays the cdf for continuous random variable X, which has a mcan of 1…

A: Note: Hi there! Thank you for posting the question. As there are multiple sub parts, according to…

Q: Let H be the discrete r.v. that represents the number of heads obtained when a fair coin is flipped…

A: Given information- We have given that a fair coin is flipped for one time. Let, H be the discrete…

Q: For a standard normal distribution, find: P(z < -0.53) Express the probability as a decimal rounded…

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: What is a t distribution? What is the difference between Z and t distribution?

A: Given, t and z distribution. t- distribution is defined as when population are  normally distributed…

Q: A vertical line is drawn through a normal distribution at z- 1.20. What proportion of the…

A: Given, A vertical line is drawn through a normal distribution at z=1.20.

Q: For a standard normal distribution, find: P(Z < 2.11)

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: Under what circumstances do you use the Student's t Distribution when calculating the Margin of…

A: The t-distribution is used when the value of population standard deciation is not known. One should…

Q: A normal distribution has a mean of u = 70 with o =3. What is the probability of sampling an…

A: We have find givan normal distribution...

Q: A normal distribution has a mean of u = 80 with o = 20. What score separates the highest 40% of the…

A: It is known that the mean μ=80 and the standard deviation σ=20.

Q: 2. Let x be a normal distribution with mean u and standard deviation a.What is the z score that…

A:

Q: Find the probability P (Z &gt; 1.78) using the normal distribution.

A: P(Z&gt;1.78)=?

Q: The t distribution is taller and thinner (more concentrated around the mean) than the Z…

A: It is known that, t and z, both of the distributions are symmetric and bell shaped.

Q: For a normal distribution, the z-score boundary that separates the lowest 33% of the scores from the…

A: We have to find the Z-score boundary that separates the lowest 33%

Q: For a normal distribution with µ = 64 and σ = 9,

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Q: For any normal distribution, the proportion in the tail beyond z = 2.00 is p = 0.0228.

A: Z = 2.000 p = 0.0228

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

A:

Q: 25. For a normal distribution with μ = 0.243 and a = 0.0073, find ◆◆(0.240< <0.250).

A: q.25)  Use the Normal approximation method z-score μ=0.243 σ=0.0073     P (0.240≤ x ≤ 0.250) =…

Q: The spread of the sampling distribution of x¯x¯is ____________ the spread of the corresponding…

A:

Q: For a normal distribution with μ = 30, σ = 5 and z = -2, find the value of x

A: Given, Here, find the value of x.

Q: Calculate the z-score for an x value of 4.7, given the distribution X~N(4, 1.52)

A: We have to find z score.

Q: You have a uniform distribution whose lowest value is a 2 and highest value is at 6. Find P(2.3 < X<…

A: Let X be the random variable that follows an uniform distribution with parameters a=2 and b=6. The…

Q: The table on the last page displays the cdf for continuous random variable X, which has a mean www…

A: Let F be the CDF of X  Therefore CDF of X is given by, F(x) = P(X≤x) = P(X&lt;x) [ as X is a…

Q: What is the formula for the standard error of the normal approximation to the p distribution. P=

A: We know that- The standard error is the standard deviation of its sampling distribution. It also…

Q: Suppose X has a standard normal distribution. Find the distribution of Y= X2/2

A: Solution-: Suppose X has a standard normal distribution. Find the distribution of Y=X22

Q: The distribution of the variance (Chi-Square distribution) becomes more like a normal distribution…

A:

Q: The probability to the right of the z-value is 85%. Find the value of z (using the table or the…

A: Given:PZ&gt;z=85%⇒PZ&gt;z=0.85   Now,PZ&gt;z=0.85⇒1-PZ≤z=0.85⇒PZ≤z=0.15

Q: a. What is the distribution of X? X - N( b. What is the median seedless watermelon weight? kg. c.…

A: According to our guidelines, we can answer only three subparts so please repost the remaining parts.

Q: Assume that we have two normal distributions both with means 0 and standard deviations σ1 and σ2. If…

A: We are given two normal distributions with mean = 0 and standard deviations σ1 and σ2.

Q: What ate the circumstances that motivated W.S Gosset to formulate t-distribution? Why does this…

A: William Sealy Gosset graduated from oxford university with an honors degree in both chemistry and…

Q: Consider the three-dimensional normal distribution which has PDF, c exp (-r² – 2s² – 31) etermine…

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Q: How does the t distribution differ from the Z distribution?

A: The t distribution and Z distribution are both symmetric distribution about their means.

Q: The normal distribution is symmetric around its mean. O True O False

A: As per our guidelines we are supposed to answer only 3 sub-parts of any question so I am solving…

Q: The value of the distribution function at x=3.9 is

A: The distrubution function is defined as F(x) = P(X≤x) = ∫-∞xfxdx

Q: For a standard normal distribution, find: P(z< 1.7)

A: the PDF of normal distribution is = 1/σ * √2π * e ^ -(x-u)^2/ 2σ^2standard normal distribution is a…

Q: What happens to the t-distribution as the sample size increases?

A: As we know that the t-distribution is affected by the sample size. As sample size increases the…

Q: Find the z-score that is greater than the mean and for which 70% of the distribution's area lies to…

A: To find the z score for which 70% of the distribution's area lies to its left.

Q: Find the indicated probability using the standard normal distribution.   ​P(- 0.25&lt;z&lt;0​)

A: z-score:Consider the random variable X that follows a distribution with mean µ and the standard…

Q: A normal distribution has a mean of u = 45 with o =5. What is the probability of sampling an…

A: