In tossing a fair coin four times, let X denote the random variable that counts the number of times tails appears. Determine the standard deviation for X
Q: Birds arrive at a feeding table independently, at an average rate of six per hour. a Find the…
A: Given::-- Birds arrive at a feeding table independently, at an average rate of six per hour.
Q: Assume that the square footage of a residential house in the US is normally distributed with a…
A: Let X be the random variable from normal distribution with mean (μ) = 1000 and standard deviation…
Q: According to Nielsen Media Research 30% of televisions are tuned in to the NFL Monday Night Football…
A: Note: Thanks for posting the question, in subparts (b) and (c), “exactly 5 or the 15 televisions” is…
Q: Salaries for teachers in a particular elementary school district are normally distributed with a…
A: Let X be the salaries for teachers in a particular elementary school district are normally…
Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…
A: Given normally distributed average (μ)=200 standard deviation(σ)=9 Find P(x≥210)=?
Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…
A: Given that, working in the garden pulling weeds/planting flowers burns an average of 200 calories…
Q: A Run is a 5 kilometer race. The time taken for each runner to complete the race was recorded and…
A: A Run is a 5 kilometer race.Mean Time =28 MinutesStandard deviation =5 Minutes We have to find the…
Q: The average resident of Metro City produces 770 pounds of solid waste each year, and the standard…
A: We have to find probability that randomly selected person will produce more than 1000 pound wastwm
Q: Find the probability that a normally distributed random variable will fall within these ranges: 1.…
A:
Q: Jill and Pete come to the bookstore and each of them can buy one English-Chinese dictionary with the…
A:
Q: Yoonie is a personnel manager in a large corporation. Each month she must review 10 of the…
A: Given Data: μ=4σ=0.9n=10
Q: The probabilities that fast – food restaurant sells 10, 20, 30, 50, 100 burgers daily are 0.20,…
A:
Q: The population mean annual salary for an electrician is $46,700.A random sample of 42 electricians…
A:
Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…
A: GivenMean(μ1)=4.0Mean(μ2)=4.0standard deviation(σ1)=2.5standard deviation(σ2)=2.5sample…
Q: Approximate the mean of the random variable X based on the simulation for 50 games. x* hits (Round…
A: We have given that data Sample size n =50 Mean = sum of all observations/total number of…
Q: The manager of a new coffee shop is collecting information for how often cars arrive at its…
A: Given information- We have given a Poisson distribution. We have given that the manager has counted…
Q: Ava's morning routine is normally distributed and independent. She has been tracking her time from…
A: Let X and Y are the first and second mornings. It is given that X and Y are independent and…
Q: Use the table in this document to record the frequency of each color. Then, compute the relative…
A: Given: n = 57 Formula Used: Relative frequency = Fn
Q: 80% of beans seeds sprout. Three seeds were planted. Find the distribution of the variable X number…
A: Given : n = 3 P = 0.80 q = 1 - p = 1 - 0.80 = 0.20
Q: Let X be the number of successes in a fixed number of repeated trials and let p be the probability…
A: Let X be the number of successes in a fixed number of repeated trials and let p be the probability…
Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…
A: Suppose the random variable x defines the amount of calorie burnt by working in garden pulling…
Q: Working in the garden pulling weeds/planting flowers burns an average of 200 calories per hour. If…
A: Given data μ=200σ=9normal distribution P(x<197)=?
Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…
A: Solution σ1=σ2=0.5μ1=μ2=3.5n1=21n2=28
Q: Assume that adults have IQ scores that are normally distributed with a mean of 104 and a standard…
A: Solution Let "X" be the IQ score of adults.
Q: The average number of words typed in 50 seconds is 54 which follows a Poisson distribution. Find…
A: The standard deviation for the number words typed in 107 seconds 10.75.Explanation:A Poisson…
Q: X is a normally distributed random variable with mean 61 and standard deviation 23. What is the…
A:
Q: Suppose that the average number of hours a personal computer is used for entertainment is two hours…
A: GivenMean(μ)=2 hoursstandard deviation(σ)=0.5 hours
Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…
A: We have given that, X be the random variable from normal distribution with mean (μ) = 62.6 ,…
Q: Service time for a customer coming through a checkout counter in a retail store is a random variable…
A:
Q: The maternity ward at a certain hospital in a certain country in Africa is one of the busiest in the…
A: Givenon average of 60 births per dayfor one hour=6024=2.5Let x be the number of births in an…
Q: Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the…
A: Solution Give Χ be the random variable representing the time it takes her to complete one review…
Q: A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean…
A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…
Q: Find the probability that a randomly selected adult has an IQ between 91 and 119.
A: Let X denote the IQ scores of the adults. Given that X follows N(mean = 105, SD = 15), then Z = (X…
Q: be the random variable representing the mean time to complete the 10 reviews. Assume that the 10…
A:
Q: Assume that different groups of couples use a particular method of gender selection and each couple…
A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…
Q: A basketball player makes each free throw with probability 3/5. Find mean and standard deviation for…
A: It is given that the probability of a basketball players makes each free throw is , p =3/5 and…
Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…
A: Given: The probability that a randomly chosen student in a statistics class submits his/her homework…
Q: are two counters in a store, nj = 47 customers in the first line and n2 = 49 customers in the second…
A: Service time for a customer coming through a checkout counter in a retail store is a random variable…
Q: The probability that a randomly chosen student in a statistics class submits his/her homework on…
A:
Step by step
Solved in 2 steps
- 4. Discrete probability distributions #1 You may calculate the answers of the following questions using the appropriate probability distribution function from the equations in your textbook. (You will need to read the questions first to determine the appropriate distribution.) However, you may also determine these answers by using the Distributions tool. Select the appropriate distribution from the dropdown box in the upper left-hand corner. Set the parameters accordingly, and select the radio button in the lower left-hand corner depending on whether you want the probability of a single outcome (left) or a cumulative probability (right). Who's so vain? A survey conducted by the American Association of Motor Vehicle Administrators (AAMVA) and Stefan Lonce, author of LCNS2ROM- License to Roam: Vanity License Plates and the Stories They Tell, reveals that Virginia motor vehicle owners are the vainest. Approximately 16% of Virginia license plates are vanity plates. Select a Distribution…4Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.5 minutes and standard deviation of 3.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 2 customers in the first line and n₂ = 13 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.1 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P =Malaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.Each month, an American household generates an average of 28 pounds of garbage. Assume the standard deviation is 2.5 pounds. If a household is selected at random, find the probability of the following: A household averaging between 27 and 31 pounds per month (5) A household averaging more than 30.2 pounds per month A street with 25 houses averaging more than 30 pounds per month.
- Suppose that an airport reports that the average time it takes for a person to get through security in 25 minutes. Assume the variable is approximately normally distributed with a standard deviation of 4.5 minutes. If 102 people were selected at random, how many would be expected to make it through security in less than 20 minutes? Approximately _________would make it through in less than 20 minutes.What is the answerThe probabilities that a customer buys 1, 2, 3, 5, 8 apples each day in a grocery store are 0.20, 0.32, 0.23, 0.18, 0.07 respectively. Let B be the number of apples a customer buys in a day. What is the standard deviation?
- X is a normally distributed random variable with mean 62 and standard deviation 13. What is the probability that X is between 36 and 88? Use the 0.68-0.95-0.997 rule and write your answer as a decimal.Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = iIn a population of statistics students it was found that the mean score on the final is 150 with a standard deviation of 20 points. Ifa student is chosen at random, what is the probability that their grade will be less than 115? O 03867 O 0.3707 O 0.9599 O 0.5987 O 0.0401
