Let X be a binomial random variable with n = 75 and p = 0.6 2.5.1 What is u and o²? 2.5.2 Use the normal approximation to find P(X 2 52)

Q: Z is a standard normal random variable. The P(-1.5 szs2.09) equals a. 0.9149 b. 0.7953 c. 0.4322 O…

A: According to the given information, we have P(-1.5≤z≤2.09)

Q: Let X1, ., X1o be independent chi-squared random variables with X; ~ x²(2) Answer the following…

A:

Q: Let X be the mean of a random sample drawn form a population with a mean µ and variance o? =9. Find…

A: (Since it has been not mentioned which question so, as per our protocol we shall only answer the…

Q: Let X be a continuous random variable that is normally distributed with mean, µ = 15 and standard…

A: GivenMean(μ)=15standard deviation(σ)=2.8

Q: TRY to generalize it for any finite number of independent exponential random variable S. Let Xk -…

A:

Q: Let X be a normally distributed random variable with mean 2400 and standard deviation o. There is a…

A: Solution-: Let, X-be a normally distributed random variable with mean=2400 and SD=σ P(X<k)=0.9452…

Q: Q16. Ris a Binomially distributed Random Variable such that r~ B(10,0.4). Which of these statements…

A: Let there are n trials and each having two outcomes - Success and Failure. The trials are…

Q: The Moment Generating Function (MGF) for a random variable X, mgfx(t) is given. Find the…

A:

Q: Assume that the fill, X, of a water filling machine is 12.2 with a standard deviation of 0.1 with…

A: Given information: x¯=12.2, s=0.10, n=50

Q: 2 The random variable X- Po(45). Use a suitable approximation to estimate: a P(X 50) e P(43 < X<52)

A: Poisson distribution is a discrete probability distribution, which is introduced by Denis Poisson.…

Q: (i) Use normal approximation to a Binomial Distribution (X) having n=500 trials and p = 0.025 for…

A: Given that n= 500 , p=0.025 Here, we need to use normal approximation to a Binomial Distribution (X)…

Q: Let X be a random variable with the mean µ and the variance. Show that E|X|=3 and E|X­­2|=13, use…

A: The variance is, VarX=EX2-EX=13-32=13-9=4 The variance of X is 4. For constant k&gt;0, the…

Q: A special discrete whole life insurance is issued to (80). The death benefit is 1000 if death occurs…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 7. Let X be a normal random variable with parameters u = 10 and o? = 36. Compute P(4 < X < 16).

A: Given that X is a normal random variable with mean as 10 and variance as 36 so standard deviation is…

Q: Let X be a discrete random variable. (i) Prove that V ar(X) = E(X2) ? (EX)2. Hint: Use the…

A: We want to prove both results

Q: 3. Let X be a discrete random variable with Pr {X = i} the probability is zero. (a) Compute the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A random variable X has a normal distribution N(4,9). (1) Find V(X) and E(X²). (2) Let + be the cdf…

A: The normal distribution of the random variable is N(4,9).

Q: Assume that the random variable x is normally distributed with mean u 70 and standard %D deviation o…

A: We have given that.   X~N( μ , ?^2 )   μ = 70, ? = 10     Z-score =( x - μ )/?

Q: Consider a random variable X having the following pdf fy(x) = 252x6 - 504x7 + 252x8, O<x<1 Through…

A:

Q: x is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The…

A: The probability that x is less than 11.9 is obtained below: From the given information, the value of…

Q: The probability of a successful SSD read-write during shock tests of an SSD storage product is 0.8.…

A:

Q: Let X be a random variable with mean u = 40 and standard deviation o = 5. Use Chebyshev's inequality…

A: Introduction :Given , X is a random variable with mean = 40. standard deviation = 5We have asked to…

Q: Assume that the random variable x is normally distributed with mean u = 70 and standard deviation o…

A:

Q: The probability of a successful SSD read-write during shock tests of an SSD storage product is 0.8.…

A:

Q: Let X be normal random variable with H = -1 and o? = 1/4. Then P(X² < 1/4) is: 0.9938 0.9987 0.1573…

A:

Q: A random variable X has P( 1.2 < X< 18.8 ) 2 15/16. Use Chebyshev's Theorem to find the standard…

A: According to chebyshev's theorem, the proportion of a distribution which will lie within k standard…

Q: Let X1 and X2 be independent and identical normal random variables with common mean 3 and standard…

A:

Q: Suppose the random variable X is uniform on the interval from 30 to 90, so X~U(30, 90). Compute…

A: Hi, thanks for the question. “Since you have posted a question with multiple sub-parts, we will…

Q: Assume that the random variable X is normally distributed, with mean u = 40 and standard deviation o…

A: Given , Assume that the random variable X is normally distributed mean ( μ)  = 40 and standard…

Q: 5. Use the normal approximation to the binomial to find the probabilities for the specific value(s)…

A: In bit a , X value is not given please check the question once.

Q: 1. Let X be a random variable with normal distribution having u=30.9 and o?=8.41. A random sample of…

A: We have given that.   X~N( μ=30.9 , ?^2=8.41 )   μ=30.9 , ?=2.9 , n=15   Z-score =( x - μ )/?

Q: Let X be a continuous random variable with the following cdf. x < 0 F(x) x2 Osx< 4 16 1. 4 SX Find…

A: It is known that for the median, m-Fm=12

Q: Let T be a random variable. If E(T) = a+b0, find an unbiased estimator of 0. Is the mean- squared…

A:

Q: A random variable X is normally distributed, with µ = 10,0 = 2 . (a) Calculate the z-score for X =…

A: Given Information: X is normally distributed with mean μ=10 and standard deviation σ=2 (a) To…

Q: The random variable X has a binomial distribution with n=20 and p 0.01. What is the mean and…

A: As in binomial distribution  Mean = n*p variance = n*p*(1-p)

Q: Let X be a random variable with mean µ and with variance o². You have a sample of size n with sample…

A: 1. Let X¯ is equal to the average of the first 5 numbers in the dataset. In the dataset, the first 5…

Q: A normally distributed random variable X with variance o=256 and P(X> 130)-D0.8289. Then the mean of…

A: Solution: 24. From the given information, X follows normal distribution with variance σ2=256.

Q: Let Y be a discrete random variable with generating function 4 Gy (s) 6 - s s2 What is E(Y) (in…

A:

Q: Let Y be a discrete random variable with generating function 4 Gy (s) = 6 – What is Var(Y) (in…

A:

Q: Assume that the random variable X is normally distributed, with mean u = 60 and standard deviation o…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: The probability of a successful SSD read-write during shock tests of an SSD storage product is 0.8.…

A: From the given information using geometric distribution we find the probability.

Q: Let X be a normal random variable with  = 10 and  = 2. Find the values of P(X 8) P(7 < X < 9)

A: Given: μ=10σ=2 1. P(X &lt; 11) is obtained as below: PX&lt;11=PX-μσ&lt;11-102=PZ&lt;0.5 The p-value…

Q: Let the random variable X shows the number of tires on a randomly selected automobile that are under…

A: given data X P(X) 0 0.4 1 0.1 2 0.1 3 0.1 4 0.3

Q: Suppose x is a normally-distributed random variable with mean µ= 50 and standard deviation o= 2. Use…

A: GivenMean(μ)=50standard deviation(σ)=2Given table is Z -2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5…

Q: Let X be a Polsson random variable with mean equal to 3. Find the value of k such that P(X<k) 2…

A: Given that X follows a Poisson distribution with mean= 3.   Given that P(X≤k)≥0.70 We have to find…

Q: Q4: Suppose that X has a discrete uniform distribution on the integers 0 through 9. Determine the…

A:

Q: Let X be the random variable with PMF: P(x) = k(]x – 2|+ 1), for x= -2, -1, 0, 1, 2 0, elsewhere (a)…

A: we have given PMF of x in terms of k, then to find the value of k and to find mean, variance and…

Q: 3. If Z is a standard normal random variable, (using the table) find i. P(-1.0 < Z < 1.63) ii. Find…

A:

Q: Let x be a continuous random variable that has a normal distribution with u = 50 and a = 8. Find the…

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.