Answered: the random variable x has a binomial…

Math

Probability

the random variable x has a binomial distribution with n=10 and p=0.5. Find the mean of the random variable X

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: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.8 minutes and…

Q: Consider the Negative Binomial distribution and find an efficient estimator of p, when experiment is…

A: Negative Binomial distribution and find an efficient estimator of p. please find step by step answer…

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Solution

Q: A random variable is binomially distributed with n= 16 and pi=.40. The expected value and standard…

A: It is an important part of statistics. It is widely used.

Q: for a binomial distribution probability of getting failure in exam =0.20 sample size is 35 students…

Q: The owner of a shop knows the number of customers coming to his shop in a day is a random variable…

A: mean = 23.7 sigma = 4.2 Let X represent the nu,ber of people coming to shop in a day

Q: It is known that a certain basketball player will successfully make a free throw 85.13% of the time.…

A: To find the expected value (E(X)) and the standard deviation (σ) of the random variable X, which…

Q: Consider a binomial random variable X with n = 5 and p = 0.40. Find the probability distribution…

A: Given: A binomial random variable X with n = 5 and p = 0.40. To determine the probability…

Q: mean thickness of 4 mm and a standard deviation of 1.1 mm. A simple random sample of 90 sheets of…

A: Given: Mean=μ=4Standard deviation=σ=1.1Sample size=n=90Sample mean=x¯=4.1 First, we have to obtain…

Q: A binomial distribution involves 60 trials with a probability of failure of 26. Find the standard…

A: It is given that n=60 and the probability of failure q is 0.26.

Q: Assume the random variable X is normally distributed with a mean of 86 and a standard deviation of…

Q: It is known that a certain lacrosse goalie will successfully make a save 85.65% of the time. Suppose…

A: We have given that a Binomial distribution with parameter p=0.8565 and n=15. The pmf of Binomial…

Q: Consider a carnival game where a player is given two chances to throw a ball to hit a moving target.…

Q: A surgeon routinely performs 4 surgeries. The chance the he performs surgery A is 30%. A random…

A: State the criteria for a binomial distribution and determine whether it does or does not meet each…

Q: A random variable X is binomially distributed with mean 4 and standard deviation v2.4. Find the…

Q: A simple random sample size n=180 is obtained from a population whose size is 20,000 and whose…

Q: Suppose that a poll of 18 voters is taken in a large city. The random variable x denotes the number…

A: Solution-: Given: n=18,p=0.43 (Or 43%) What is the mean and standard deviation of X?

Q: The random variable X has a binomial distribution with parameters n = 8 and p = 0.30. what is…

A: The formula for binomial distribution is, PX=x=nxpx1-pn-x

Q: nt, the number of experiments we conduct is 50 and the probability of occurrence is 0.2. Determine…

A: X binomial random variable can be approximated to the normal distribution with parameters:

Q: t is known that a certain basketball player will successfully make a free throw 90.36% of the time.…

A: Given,p=0.9036n=13Let"x" no.of free throws by the basketball…

Q: Consider a binomial experiment with 15 trials and probability 0.35 success on a single trial. Use…

A: Given, A binomial experiment with 15 trials and probability 0.35 success on a single trial. => n…

Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and…

A: Given, x is the taxi and takeoff time for commercial jets which follows normal distribution with-…

Q: The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated…

A: Givenp=0.30n=40A random variable x ~ Binomial(n=40,p=0.30)P(X=x)=nx×px×(1-p)n-x ; x=0,1....,n

Q: The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.6 minutes and…

A: Given X~ N(8.6,3.4^2) We want to find the probability by using standard normal table

Q: The result of an experiment is a discrete random variable that has the binomial distribution with a…

Q: If X is a normally distributed random variable with mean -61 and standard deviation 22, find the…

A: Solution: From the given information, X follows normal distribution with a mean µ=61 and a standard…

Q: It is known that a certain basketball player will successfully make a free throw 86.56% of the time.…

A: Probability distributions are of two types, discrete and continuous distributions. Binomial…

Q: For a Poisson random variable with a mean of 4 the standard deviation is approxiamately 1.414 (…

A: Given data : For a Poisson random variable with a mean of 4 the standard deviation is…

Q: X is the Binomial Random Variable which counts the number of students who passed an exam. If the…

A: Given n=81 P=0.85

Q: A random variable X is normally distributed with mean = 80 and standard deviation = 4.5. What is the…

A: What is the probability that X is at least 81.6 ?

Q: A random variable follows a binomial distribution with a probability of success equal to 0.62. For a…

A: Given data, p=0.62 n=7 standard deviation σ =?

Q: In a certain population of people, the chance of a person having a fatality is 2.7% and this is…

A: Given information- We have given that the chance of a person having a fatality is 2.7%. P = 0.027…

Q: Suppose a random variable, x, arises from a binomial experiment. Suppose n = 8 and p = 0.62 (Must…

A: Given data, n=8 p=0.62

Q: An unbalanced coin is tossed 10 times with a probability of heads p =0.73. Calculate P(x > 8) using…

A: Obtain the probability that the random variable X is greater than 8. The probability that the…

Q: Determine, (1) Mean lifetime of these batteries (ii) Probability that such battery will last more…

Q: ress prints newspaper have a quantity that is approximately normally distributed, with mean equal to…

A: Given: μ=400, σ=20, n=5 The corresponding z-value needed to be computed is: The probability that…

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

Concept explainers

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.

Question

the random variable x has a binomial distribution with n=10 and p=0.5. Find the mean of the random variable X

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

Resistors with a value of 1500 ohms are produced in a factory. There are deviations in the values of these produced resistances and if this deviation is more than 15%, those resistors are not used. Suppose the values of the generated resistors are an X random variable with a Gaussian distribution. Since the average value of these resistors is 1500 ohms and the standard deviation is 100 ohms, what is the probability that a produced resistor will not be used?
X is a binomial random variable with p = 0.36 For a sample of 25, what is the expected value of X?
In a family with 2 children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 children, what is the approximate probability that 220 or fewer will have 2 girls? Approximate a binomial distribution with a normal distribution.
A random variable X is normally distributed with mean = 80 and standard deviation = 4.5. What is the probability that X is less than 75.
Suppose that asthma affects 1 in every 20 children in a population. You take an SRS of 250 children from this population. Can we use the Normal approximation to the binomial in this instance? What is the probability of seeing at least 25 cases in a sample?
A random variable is binomially distributed with n = 16 and π = .40. The expected value and standard deviation of the variables are
A binomial distribution happens such that q=4C2/100 and n=6C1.Find the square root of std deviation.
In a human genome there are 6.4X109 basepairs and the mutation rate per generation per basepair is 1.8X10-8 basepairs. What is the expected number of new mutations (not carried by either of your parents) present in you? What is the probability that you contain 20 new mutations? Use Poisson distribution to solve.
The random variable X is described by using the gamma distribution with expectation 10 and standard deviation 10. Find the probability that X will exceed 10.35.
A random variable Xis binomially distributed with mean 4 and standard deviation 2.4. Find the probability that more than half the trials are successes.
The owner of a fast-food restaurant knows that, on average, 2.4 cars (customers) use the drive-through window between 3 pm and 3.15 pm. Find the variance and standard deviation Find the probability that exactly two cars will use the drive-through window Find the probability that at least three cars will use the drive-through window
The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random variable ranging from 3 to 9. what is the standard deviation of this random variable?