If Z is a standard Normal variable what is P(-0.4

Q: Let Z be a standard normal variate such that P(aa).

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Q: Ex10: Let X be a normal distribution with a mean of 5 and standard deviation 1. Find: a/ P(X= 5) and…

A: Solution

Q: et  χ2 = Z12 + Z22 + … Zdf2 is chi-square distribution random variable, where df = 4. What is the…

A: Given that X2=Z12 +Z22+.....+Zdf2 is chi-square distribution random variable Where, df=4

Q: If X is a Normal R.V with mean zero and variance o Find the p.d.f of Y=e*.

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Q: Which of the following is not true about the Normal curve? Select one or more: U A. The total area…

A: Option C and D are the correct answers.     The normal curve has only one mode, so option B is True,…

Q: d) Due to the symmetry of the normal distribution we know that P(X > 28) = P(X < ).

A: GivenMean(μ)=44standard deviation(σ)=8Let "X" be the length(in cm) of aneel

Q: Which of the following is NOT a characteristic of a normal curve? A The two tails of the curve…

A: According to the given information, we have Given that the distribution is normal.

Q: la) P(X>2) (b) P (Y > 0), where Y = - 2

A: given  X~N5,2  the  z=X-μσ~N0, 1    mean = 5     variance = 2      ,   a) PX &gt;2=PX-μσ&gt;2-52…

Q: Let z be a random variable with a standard normal dis tribution P( z < a) = 0.5

A: Let z is a standard normal variable. Given that P(z&lt;a)=0.5

Q: If Z denoted the standard normal random variable, then P(-.58<Z<.23)

A: Given that Z denoted the standard normal random variable, then

Q: Given z has a standard normal distribution, which of the following is true  1. The standard normal…

A: Given that  Z has standard normal distribution

Q: Q3/A/ Let X be a r.v with p.d.f f(x) =;e-lkl - 00 <x < 0, then the value of variance of X is

A: 3. Given information: It was stated that X is a random variable and the probability density function…

Q: Find the probability, P(Z > -0.77) for a standard normal variable Z. 20 Find the probability,…

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Q: 1.) For the standard normal distribution, find The area within one standard deviation(|z|<1). Your…

A: Given : Standard normal variable Z Z~N(0,1)Mean=0 Standard deviation (sd)=1

Q: deviation 3 and a random variable Y is normally distributed with mean 0 and standard deviation 4.…

A: We know that the linear combination of any normal random variable is also a random variable. So, in…

Q: Let X be the scores on an achievement test given to a certain population of students, with the…

A: Population mean μ =500 Population standard deviation =20 Sample size n =25

Q: If z is a standard normal variable, then P ( z &gt; 2.17 )  is:

A: The question is asking for the probability that a standard normal variable z is greater than 2.17.…

Q: If ZZ is a random variable from a standard normal distribution and if P(Z &gt; c) = 0.21, then P(Z…

A: From the given information, P(Z&gt;c)=0.21 and , P(Z&lt;c–)=0.21The normal distribution is a…

Q: If Z is the standard normal variable, then P(0.5 ≤ Z ≤ 1.5)=

A: From the provided information, Z is a standard normal variable and P (0.5 ≤ Z ≤ 1.5)

Q: If Z is a standard normal variate, then P(-2.63 ≤ Z < +2.63) is equal to:

A:

Q: Find z such that 64% of the standard normal curve lles between and (Round your answer to two decimal…

A: It is given that the area under the standard normal curve is 64%.

Q: (d) Let X P(X < 1.4)? 25 25 X;. How would you use the central limit theorem to approximate

A: We want to find the probability by using central limit theorem.

Q: A physical fitness test was given to a large number of college freshmen in part of the test each…

A: A physical fitness test was given to a large number of college freshmen in part of the test each…

Q: Let X be standard normal random variable. Let Y = IXI. What is the median of Y? What is P(1 <Y < 2)?…

A: Solution-:Let, X be the standard normal random variable.Let, Y=|Y|We want to find,(a) The median of…

Q: Let x be a continuous random variable that has a normal distribution with a mean of 50 and a…

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Q: Suppose that Z comes from standart normal disribution Given P(-k < Z < k ) =0.78 find k=?

A: P(-k &lt; Z &lt; k ) =0.78 k=?

Q: = 10 and standard deviation 2.0, find If X is a normal with mean P(x > 13.0 ) = P( 11 < X< 14 ) =…

A: In probability theory, a normal distribution is a type of continuous probability distribution for a…

Q: Find the probability that standard normal random variable takes on the given values. Show the…

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Q: True or False, For a standard normal random variable Z, P(0 < Z < 1.2) = P(-1.2 < Z < 0 )?

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Q: Ex4: Assume that Z has a standard normal distribution. Determine the following: a/P(Z -2.15) and…

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

Q: Assume that z-scores are normally distr If P( – b < z < b) = 0.4488, find b.

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Q: Let X be the random variable of the normal distribution with mean (u) and standard .deviation (o) If…

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Q: What is the slope of the NORMAL LINE to the given curve y = x + at point where x = 3 *If the answer…

A: The given function is; y=x +1/x at x=3.

Q: Find z such that 62.1% of the standard normal curve lies to the left of

A: According to the given information, we have P-value = 62.1% Left tailed

Q: . Let X have a standard normal distribution. Find  P(X ≧ -0.25)

A: Given,   Let X have a standard normal distribution.    The mean and standard deviation of X is,…

Q: a) b) c) P(X>Y+1), X-3 P ( X = ³ <c) = 0.9 a constant c such that P standard deviation of X, <c=0.95…

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Q: Suppose Z is distributed as a Standard Normal variable. Calculate Pr(-1.54 < Z < -0.13) How do I…

A: Draw the normal curve and shade the area between z=-1.54 and z=-0.13.

Q: EZ = X +Y if X,Y are

A: X follows normal distribution with mean 0 and variance 1. Y follows normal distribution with mean 0…

Q: A standard normal variable Z can be transformed to the normally distributed random variable X with…

A: The formula for Z-score is, z=x-μσ In the formula, x is the individual raw score, μ is the mean and…

Q: find z so that 95% of a standard normal curve lies to the right of z

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.