Answered: If x is a binomial random variable,…

If x is a binomial random variable, compute P(x) for each of the following cases: (a) P(x\leq 6) , n = 8 , p = 0.6 (b) P(x> 2) , n = 3 , p = 0.7 (c) P(x< 3) , n = 7 , p = 0.7

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: Suppose j and k are two independent events with P(j) =0.35 and p(k) = 0.19 what is the p(j and k^c)?…

A: Given P(j)=0.35, P(k)=0.19 P(j and k^c)=? Where j and k are independent

Q: Let x be a binomial random variable with n = 20 and p = 0.2 Find p (x<5)

A: Given information: X is a binomial random variable. The parameters are: Number of trials, n = 20…

Q: Suppose you extract 3 balls at random from an urn with 3 blue balls, 3 red balls and 3 yellow balls.…

A: Random Variable: In probability theory, a random variable is a variable whose values depend on…

Q: Suppose a random variable, x, arises from a binomial experiment with p = 0.58, n = 36. Find P(x ≤…

A: Pr(X≤13) = P(X=0) + P(X=1) + .....P(X=13) = 0+0+........+0.0042…

Q: Suppose that the time to repair a machine is exponentially distributed random variable with mean 2.…

A: The question is about exponential dist. Given : Mean for time to repair a machine = 2 To find : a…

Q: Suppose you open a shop in UTC plaza and you need to estimate the number of customers. During the…

A: The probability mass function (pmf) of Y given X = n is:P(Y = k | X = n) = (n choose k) * p^k *…

Q: Suppose that a distribution of the number of workers per year that will absent from work per year is…

Q: Suppose that the lifespan of a certain model of laptop is normally distributed with mean4 years and…

A: Given:mean µ = 4 years convert in months = 4 x 12 = 48 monthsstandard deviation σ = 4 months The…

Q: For a uniform random variable U∼U(15,22)U∼U(15,22), find the probability P(U<21)P(U<21):…

A: Given,A random variable U~U(15, 22)f(x)=122-15f(x)=17 ; 15≤U≤22

Q: A new experimental process for manufacturing a circuit for quantum computers is successful 80% of…

A: The binomial probability rule states that the probability of (x) success and (n-x) failures in (n)…

Q: (2) Z is the present value random variable for a pure endowment of 1000 payable at the end of 20…

A: Pure endowment contracts: A pure endowment contract provides the sum assured at the end of the fixed…

Q: to determine the value of the mean multiply each possible outcome of the random variables x by its…

A: To determine the expected value or the mean of a probability distribution, we multiply each possible…

Q: Suppose we know that a discrete random variable X takes values {1, 2, 3, 4, 5, 6, ....}, then the…

Q: a ) Calculate the expected value, the variance and the standard deviation of 2X1 - 0.5X2 + X3 .…

A: Normal distribution is also known as the Gaussian distribution . It is a bell-shaped , symmetric…

Q: It is an exponential distributed random variable with an average of 45 minutes to repair a machine.…

A: Given Data: Let X represent the repair time of a machine X~ Exponential (1/45) 2 hours=120 minutes…

Q: Suppose X-N(0,1) and Q1 and Q2 are Chi-Square Random Variables with n, and n2 degrees of freedom,…

A: Given that X~N0,1 and Q1~Χn1 and Q2~Χn2 Q1 and Q2 are independent.

Q: GV)=3 100 ()) + 를100200) ()) +7 1200500) (y) + Iso0,0) ( /200,500) (') + I[500,00) (* 8

Q: The range of random variables X is [0,a,b,c,x] where x is unknown. If each value is equally likely…

A: The random variable X takes the values 0, a, b, c. & x where a= 1, b = 2, c = 3. Since there are…

Q: I'm having trouble with binomials. How would I find the probabilities that none, 10, 0r no more than…

A: Let X is the number of married women who dislike their mother-in-law and it follows binomial…

Q: If X is a binomial random variable, compute the probabilities below: (a) X - Binom(8,0.4) P(X 3)…

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

Q: If X is a binomial random variable, compute the probabilities below: (a) X - Binom(8, 0.4) P(X 3) =…

A: The random variable X follows binomial distribution. We have to find the probability by using pmf of…

Q: A Gaussian random variable, X, has mean value a -5 and variance o" - 16. You can find a table of…

A: As per our guidelines, we can solve the first three sub parts of question and rest can be…

Q: For a uniform random variable U∼U(17,28)U∼U(17,28), find the probability P(U>26)P(U>26):…

A: The question is about uniform distribution Given : U ~ U ( 17, 28 ) To find : P ( U > 26 )

Q: The length, X, of a fish from a particular mountain lake in idaho is normally destributed with p -…

A: As per by bartleby guidelines for more than three subparts only first three are to be answered so…

Q: Suppose that on average 2 people in a major city die each year from alien attack. Suppose that each…

A: Poisson approximation is given by:

Q: A sample is selected from one of two populations, S, and S,, with P(S,) = 0.9 and P(S,) = 0.1. The…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.it…

Q: What is the probability of obtaining exactly four tails in five flips of a coin, given that at least…

A: From the given information, number of times a coin is flipped n = 5. Let A be the event that will…

Q: A team with four members is to be chosen from three boys and four girls.if x is the random variable…

A: Given that a team with four members is to be chosen from three boys and four girls. The outcomes…

Q: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

A: Suppose X is a binomial random variable that models the number of successes in n trials, where each…

Q: Xí,..., Xn are independent Poisson random variables with mean \, Find UMVUE for 2.

Q: Find the value for the constant c so that f (x) satisfies the condition of being a pmf for random…

A: Given that the probability mass function for random variable X is

Q: A football team makes a team of 6 players, 50% available for selection are women and all players are…

A: Probability of selecting a woman in team is 50% or 0.5. The total number of players needed in the…

Q: Consider the binomial distribution with n trials and P(S) = p (a) Show that p(v). n -y + 1)P for y=…

A: a)Given binomial distribution Y with parameters n,p The binomial probability distribution function…

Q: A laser beam has 5 gates on its route to reach a receptor. If one gate is closed, the light cannot…

Q: The time between arrivals of customers at an automatic teller machine (ATM) is an exponential random…

A: Given problem Given that The time between arrivals of customers at an automatic teller machine…

Question

If x is a binomial random variable, compute P(x) for each of the following cases:

(a) P(x\leq 6) , n = 8 , p = 0.6

(b) P(x> 2) , n = 3 , p = 0.7

(d) P(x\geq 2) , n = 4 , p = 0.8

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 by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A fair standard die is rolled 50 times. Let W be a random variable with binomial distribution thát represents the number of times the face with a six on it appears uppermost. Pr(W = k+1) _ (50 – k) 5(k +1) b. Show that %3D Pr(W = k)
If X is a random variable in the range 1≥x≥0, and f(x) = k(x^4-2), then the value of k is 1- 3/5 2-5/3 3-15 4-5 Select one option
For a uniform random variable U∼U(7,24)U∼U(7,24), find the probability P(U>12)P(U>12): P(U>12)=P(U>12)= (Round the answer to 4 decimal places)
Let E and F be two events of an experiment with sample space S. Suppose P(E) = 0.46, P(F^) = 0.65, and P(E U F) =0.7. Calculate the probabilities below. (a) P(E) = (b) P(F) (c) P(E n F) =
Mention 3 examples of discrete random variables and 3 examples of continuous random variables applied in engineering.
2 (a) Let Y be the random variable that counts the number of sixes which occur when a die is tossed 10 times. What type of random variable is Y? What is P (Y = 3), expected number of sixes,Var(Y )? (b) Let U be the random variable that counts the number of accidents that occur at an intersection in one week. What type of random variable is U? Suppose that, on average, 2 accidents occur per week. Find P(U = 2), E(U), and V ar(U). (c) Let X be the recorded body temperature of a healthy adult in degrees Fahrenheit. What type of rv is X? Estimate its mean and standard deviation, based on your knowledge of body temperatures.
In the first hour of customers using the app they served 180 customers. STACO decided to treat this hour as 60 non-overlapping intervals of one minute each. They then assumed they could model the number of customers served each minute by independent and identically distributed Poisson Random Variables. They called the number of customers served in the ith minute X₁, so X₁ + X₂ + ... + X60 180, X₁~ Poisson(X), and X; and X, are independent if i j. - STACO used this to compute an estimated 95% confidence interval and then told Coffee Kart that they could claim to serve an average of three customers per minute. = i Recall that the maximum likelihood estimator of A is A X. Using the same assumptions as STACO and assuming that n is large enough to apply the Central Limit Theorem, calculate an estimated 95% confidence interval for X. ii Do you agree with the assumptions made by STACO. Justify your answer.
X is a Uniform(8, 20) random variable what is Var(X)=?
Suppose that Y Binomial(n, p) (that is, discrete random variable Y has a Binomial distribution with parameters n and p, where n is a (strictly) positive integer, and 0 < p< 1).
For a uniform random variable U∼U(5,26)U∼U(5,26), find the probability P(U>14)P(U>14): P(U>14)=P(U>14)= (Round the answer to 4 decimal places)