Answered: Since a random variable X has a…

Since a random variable X has a binomial distribution with n=50 trials and p=0.25, use the normal approximation to the normal distribution to find a) P(x>10) b) P(x<18) c) P(x>21)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: X denotes a binomial random variable with parameters n and p, Indicate which area under the…

Q: The table below gives the individual IQ scores of selected population (with N = 40). The IQ scores 2…

A: From the given information, the population with size N=40. The IQ scores range between 75 and 148.…

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

A: From the given information, Mean =50 and standard deviation =7.

Q: After the final exam, the professor has curved the grade to approximately Gaussian distribution with…

A: To solve this problem, we first convert the score of 70 to a z-score in the context of a Gaussian…

Q: Mx Sb sa e -e (5)- s16-a) X~U(a,b) , Calculate the variance of the random variable X.

A: Given mgf of Uniform distribution function, we need to find Variance

Q: which of the following gives the probability that the random variable X > 2?

A: here given cumulative probability density function

Q: Answer true or false. If false, explain why. Suppose that X1, X2, . . . , Xn is a random sample from…

Q: Suppose that X is a binomial random variable with n=300 and p=0.5. Find the probability P(x is less…

A: We want to find the probability by using binomial and by normal distribution.

Q: Suppose x has a distribution with mean equals 23 and standard deviation 17. If a random sample of…

Q: For a normally distributed random variable, the population mean is 8 and population standard…

Q: The mean of Binomial distribution is 3 and variance is-. Find P(1 s x < 6)

Q: n n For sample values X1, X2, n- ., X., the sample variance is s² = 11-1Σ (X; -x)², where x = -1 Σ…

A: For the sample values x1,x2,...xn , then sample variance is , s2=1n−1∑i=1n(xi−x¯)2 , where,…

Q: 1. Evaluate x+√√x for x=-5:0.1:5:

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 6.25 and a…

A: given data, variance =σ2=6.25σ=6.25=2.5μ=206n=90the probability that the mean diameter of the sample…

Q: What are the mean and standard deviation of x_av?

Q: What is the distribution of X? 1) Out of the 38 pizzas that you try, how many would you expect to…

A: Let p be the probability of you liking the pizza. Given that p = 0.08

Q: The probability of an event depends on the random variable X and can be expressed by the following…

A: Given:P(A|x)=1-e-kx ;x≥0 where k>0Given that X is a normally distributed random variable with…

Q: The useful life of a concrete built on the seashore has a Weibull distribution of parameter scale δ>…

A: Let us define X as the life of a concrete built on the seashore has a Weibull distribution with…

Q: You are to roll a fair die n = 117 times, each time observing the number of dots appearing on the…

A: I have provided the solution below please do refer it.Explanation:Solution

Q: Determine the standard normal random variable (z) for P(X > 80) Suppose X be a normally distributed…

A: Solution-: Given: μ=65,σ=13 We want to find the standard normal random variable (z) for P(X > 80)…

Q: A continuous random variable has a Weibull distribution with parameters a = 2 and ß = 12. a)…

Q: A normally distributed random variable X with variance o=400 and P(X > 130) = 0.6554. Then the mean…

A: Let X be a continuous random variable and is normally distributed with a mean of μ and a standard…

Q: A continuous random variable X has normal distribution with mean 29 and standard deviation 10. What…

Q: A normal distribution of san diegans class has ages with μ=40 and σ =18. A random sample 9…

Q: Random variable X has mean μX = 24 and standard deviation σX = 6. Random variable Y has mean μY =…

Q: the test of equility of the variances between two normally distrubuted populations relieson the…

Q: Suppose a random variable X has mean 20 and variance 25. (1) Give your approximation bound for…

A: Hello there! According to our honor code can answer only three sub parts at a time. So kindly find…

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

Q: Q2/ Let X be a random variable with normal distribution N(0,4) and Y=(X+2)² find:- 1- P(Y > 1) 2-…

A: 2) Given Y=(X+2)2, we want to find the probability that Y is greater than 1 . This is equivalent to…

Q: 3) (4 points) Consider a population with the mean u= 51, 000 and the standard deviation o = 5,000.…

A: The random variable X follows normal distribution. We have to find the probability that the sample…

Q: If a random variable has a binomial distribution with parameters n = 200 and p = 0.4 use the normal…

A: Given:n = 200p = 0.4The mean and standard deviation of the binomial distribution are as follows:mean…

Q: Assume the random variable x is normally distributed with mean p= 83 and standard deviation o = 5.…

Q: ou are to roll a fair die n=108 times, each time observing the number of dots appearing on the top…

A: It is given that n=108.

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: A computer of random numbers with a uniform distribution between 0 and 1 manufactures. A standard…

A: The expectation of the random variable X having the uniform distribution is, E(X) =(a+b) /2 =(0+1)/2…

Q: The distribution of certain test scores is a nonstandard normal distribution with a mean of 80 and a…

A: According to the provided information, we have Mean = 80 Standard deviation = 9 Nonstandard normal…

Question

SOLVE STEP BY STEP IN DIGITAL FORMAT

Since a random variable X has a binomial distribution with n=50 trials and p=0.25, use the normal approximation to the normal distribution to find

a) P(x>10)
b) P(x<18)
c) P(x>21)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step by step

Solved in 5 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

X denotes a binomial random variable with parameters n and p, Indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability. P(X< 7)
a) Find such that P( X < ? ) = 0.9332, where X is a normal random variable with mean = 10 and standard deviation = 2.5. b) Find such that P( X > ?) = 0.1230, where X is a normal random variable with mean = 10 and standard deviation = 2.5.
please state the approximate distribution of the sample mean
A population has a mean µ = 161 and a standard deviation o = 20. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 56. The mean is = μx (Round to three decimal places as needed.) and the standard deviation is o- = X 3 X
Solve by showing steps properly
Suppose X is a random variable of uniform distribution between 1 and 7. Find E(X)
If X is a continuous random variable, what is the value of X that will be exceeded 30% of the time, if X has a gamma distribution with a mean of 2 and a variance of 2? (just set up the equation in itssimplest form)
X is a normally distributed variable with mean = 60 and standard deviation = 10 %3D For a randomly selected score from this distribution what is the probability that X is less than 42
Assume the random variable x is normally distributed with mean μ = 50 and standard deviation o = 7. Find the indicated probability. P(x > 35) P(x > 35)= (Round to four decimal places as needed.) ***
The random variable x has a normal distribution with mean 50 and variance 9. Find the value of x, call it x0, such that: a) P(x ≤ xo) = 0.8413 b) P(x > xo) = 0.025 c) P(x > xo) = 0.95 d) P(41 ≤ x ≤ xo) = 0.8630
If X is a uniformly distributed random variable with a=5 and b=9,then Calculate the standard deviation of X? Round to three decimals
Please answer both parts of the question thanks