Suppose the efficacy of the covid vaccine is about 80%. Assume that each person's response to the covid is independent oof another person's response. Find the probability that at least one exposed person will get the covid if 10 people are exposed.

Suppose the efficacy of the covid vaccine is about 80%. Assume that each person's response to the covid is independent oof another person's response. Find the probability that at least one exposed person will get the covid if 10 people are exposed.

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: Bernoulli trial. Assume that n = 16, and p = 5/8 Find the probability of at least 1 success and at…

A: Let X= number of success Given the probability of success = 5/8 We have to find P(X>= 1)…

Q: A test for a certain disease takes anywhere from 1 minute to 10 minutes to administer. If the time…

A: From the given information, let X be the test time for the administer to identify the disease. Here,…

Q: The power of a test is 0.873. What is the probability of a Type II error?

A: Power of a test is the probability of correctly rejecting H0 that is the null hypothesis and Type 2…

Q: An electric device consists of Two parts, A and B. The electric device works if both parts work.…

A: Given mean, μ = 110 hrs Standard deviation, σ =5 hrs X ~ N(μ, σ)

Q: Face Mask Julia is a boutique shop owner in her town. Due to COVID-19 pandemic, wearing a face mask…

A: Given :

Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

Q: If random variable X has a binomial distribution with 18 and P(success) 0.3, find the mean of X.

Q: alue of a random variable is the value that has the highest probability of occurring. all of…

A: The expected value of a random variable is the weighted average of all possible values of that…

Q: The gremlins are mischievous creatures that cause computer problems. After careful research you…

Q: The average number of work emails received in a day is 27. If the variance is known σ2 = 3.45…

A: GivenMean(μ)=27vatiance(σ2)=3.45standard deviation(σ)=3.45=1.8574

Q: The mean percent of childhood asthma prevalence in 43 cities is 2.06%. A random sample of 34 of…

A: Let X be the random variable from normal distribution with mean (μ) = 2.06% and standard deviation…

Q: The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway…

A: Given that X~U(a,b) a=13 , b=35

Q: If the random variable x has a Poisson distribution With mean u=6, find the probability that x =17.…

Q: A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance…

A: Given that there are 22 tablets and 10% rate of defects. Accept the whole batch if there is at most…

Q: Historical data show that 20% of college students prefer Facebook to Instagram. A sample of 10…

Q: If we toss both fair five-sided dice simultaneously and denote Y as the summation of the two dice.…

A: Here the die is five-sided. It two dice are tossed simultaneously and the sum is noted. Y is the…

Q: A six-sided die has four green and two red faces and is balanced so that each face is equally likely…

A: Given A six sides die and it has 4 green faces and 2 red faces.we need to find the distribution…

Q: Experiment is to toss three coins: two fair coins and a positively biased coin. The variance of the…

A: Introduction: Denote Xi = 1 if the outcome on the ith coin is a head (i = 1, 2, 3), and Xi = 0 if…

Q: A hospital is testing patients for Covid daily. The probability that a patient has covid is 34%.…

A: given data P(have covid 19) = p = 0.34sample size n = 16x = no. of patients have covidP(x=X) =…

Q: What is the mean and standard deviation of the number of pedestrians waiting to cross? What is the…

Q: Suppose x is a normally distributed random variable with mean = 14 and st.dev = 2 . Find the…

Q: A drug tester claims that a drug cures a rare skin disease 65 % of the time. The claim is checked…

A: The mean is, μ=np=100×0.65=65 The standard deviation is, σ=np1-p=100×0.65×1-0.65=22.75=4.7697 The…

Q: estaurant in Ohio, the number of minutes that diners spend at the table has a major impact on the…

A: X~N( μ , ?)μ=89 , ?=17Z-score =( x - μ )/?

Q: Let Y₁, Y2, Y3 be independent and identically distributed random variables from the same population.…

A: be the independent and identically distributed random variables from the same population. be the…

Q: Historical data show that 15% of college students prefer Facebook to Instagram. A sample of 10…

A: Given that the historical data show that 15% of college students prefer Facebook to Instagram.…

Q: COVID-19 vaccination is important to help stop the COVID-19 pandemic. A survey conducted showed that…

A: From the given information we use binomial distribution to find the solution.

Q: ive males with an X-linked genetic disorder have one child each. The random variable x is the…

A: A probability distribution is not given.

Q: Historical data show that 20% of college students prefer Facebook to Instagram. A sample of 10…

A: X = the number of students from the sample who prefer Facebook The mean of the binomial…

Q: It is known that for a laboratory computing system the number of system failures during a month has…

A: It is known that for a laboratory computing system the number of system failures during a month has…

Q: The normal rate of infection of a certain disease with the children is found to be 20%. In an…

Q: Suppose that a satellite defense system has 3 satellites that operate independently. Each satellite…

A: It is needed to determine the probability distribution for the random variable X.

Q: People's arrivals at a register occur at a constant rate of 7 per hour. It will take about 10…

A: Given that rate of arrival = 7 per hour and we can assume that arrival rate follows Poisson…

Q: A drug tester claims that a drug cures a rare skin disease 72% of the time. The claim is checked by…

A: Given,n=100p=0.72mean(μ)=np=100×0.72=72standard deviation(σ)=npqσ=100×0.72×(1-0.72)=4.48999

Q: A drug tester claims that a drug cures a rare skin disease 73% of the time. The claim is checked by…

A: Probability of curing a rare skin disease, Sample size

Q: those who were known to have the disease showed a positive test result for the disease. Of those who…

Q: 2. Show that a Uniform(0, 0) random variable is not an exponential family distribution.

A: A joint probability mass function or joint probability density function, {f(x|θ;θ=(θ1,θ2,...θn)∈Θ}…

Q: We have seen that nonindependence of alleles (possibly caused by differential mortality of…

Question

Discrete Probability Distributions

WITH COMPLETE SOLUTION

Video Video

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

SEE SOLUTION Check out a sample Q&A here

Similar questions

62% of adults in a population have an HDTV in their home. You randomly select 45 adults and ask them if they have an HDTV in their home. What is the probability that at most 20 of them respond yes? Use binomial distribution and normal distribution approximation. Compare your results.
Female dart cat make 2.3 calls/min at night. Calls occur randomly and are independent of one another. For any given dart cat you encounter at night, what is the probability that it will call 2 times in a one minute period? It’s the Poisson distribution equation.
A article recently reported that 65% of American adults said they would get the COVID vaccine if they were given the opportunity. Imagine I took a random sample of 700 American adults and found 68% of my sample said they would get the COVID vaccine if they were given the opportunity. What is the chance I would get results like this if the true proportion were 65%? Use the sampling distribution of the proportion to find the probability that I would get 68% or more from my sample willing to take the vaccine given a true proportion of 65%. Show your work on paper including what you are entering into technology and put your answer in a complete sentence.
A fair coin is flipped 80 times and the number of heads that occur is noted. A random variable x is defined as the number of heads. Find the expected value, variance, and standard deviation
Crime reports from 2019 indicate that 6.2 motor vehicle thefts occur each hour in the United States. Assume that the distribution of thefts per hour can be approximated by the Poisson probability distribution. Calculate the probability that exactly 4 thefts occur in an hour.
Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 5.3. Find the probahility of no dandelions in an area of 1m². P(x=0)= Find the probability of at least one dandelion in an area of 1m². at least one
The duration of a professors class has a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one class is randomly selected, find the probability that the professors duration of the class is more than 50.9 minutes.
A large insurance company indicates that 78% of the policy holders have at least one health issues and 22% do not health issues. Let Y1 be a random variable defined as Y1 = 0, if the policy holder does not have any health issues; Y1 = 1, if the if the policy holder have health issues. Write the probability distribution of Y1, E(Y1) and Var(Y1).
After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).
X is normally distributed with ?=14 and ?= 4. Find the probability that x is between 1 and 18.