Find the probability that the value of the exponential random variable with mean rate of 3.2 will be having a value lower than 0.808
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: If Y is a random variable with a mean of 10 and a standard deviation of 2, what is the probability…
A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 2
Q: Suppose a drug manufacturing facility has 1,000 machines, and each machine's lifetime is…
A: From the provided information, Machine’s lifetime is exponentially distributed with mean (1/λ) = 2…
Q: e standard deviation is larger than 110% of the population standard deviation. Correct your answer
A: A random sample is given as, n=22. The mean is , μ=300. The variance is, σ2=255. The probability…
Q: Find the largest probability that any random variable's values are smaller than its mean by 4…
A:
Q: The proportion of the times (in days) between major earthquakes in the north-south seismic belt of…
A: a. μ=1a=11609.5=609.5σ=1a=11609.5=609.5
Q: Find the probability that the mean of this sample will be more than 130 between 120 and 125 between…
A: It is given that: Population Mean =μ= 120 Standard deviation = σ=18 Sample size =n= 64 Sample…
Q: Suppose X is a normally distributed random variable with a mean of -39.7 and a standard deviation of…
A: Here we need to find the required probability.
Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…
A: It is given that the mean is 35 and the standard deviation is 8.
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Z = x-μσ~N(0,1)
Q: Suppose that the annual rate of return for a common biotechnology stock is normally distributed with…
A:
Q: Suppose X is an exponentially distributed random variable with mean 1. Then the median of the random…
A: let X be the exponentially distributed random variable with mean=1 Then we have to check whether the…
Q: A sample of size 45 will be drawn from a population with a mean 10 and standard deviation 5. find…
A:
Q: ) What is the probability that there are no major cracks in two separate 5-mile stretches of the…
A:
Q: Suppose cattle in a large herd have a mean weight of 1228lbs and a variance of 8100. What is the…
A:
Q: Suppose the horses in a large stable have a mean weight of 1354 lbs and a standard deviation of 98.…
A:
Q: random sample of 100 individuals was taken from a population with a mean height of 170 cm and a…
A: Given that,The sample size is The population's mean height is cmThe population standard deviation…
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard…
A:
Q: Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum…
A: It is required to find the probability that a sample of 60 women aged 20 to 29-years-old from the…
Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a…
A:
Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…
A: The probability of a bulb lasting for at most 540 hours is calculated below:
Q: A sample of size 65 will be drawn from a population with mean 22 and standard deviation 15. Find the…
A: Given that sample size n=65Population mean μ=22Population standard deviation σ=15
Q: The number of traffic accidents that occur on a particular stretch of road during a month follows a…
A: Given,The average no.of accidents in a month is 8.4so the average no.of accidents will occur in two…
Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225225 and the mean…
A: Given that variance = 225, mean = 590 Find the probability of a bulb lasting for at most 607?
Q: A life of a Radio Shack record player is normally distributed with a mean of 3.3 years and a SD of…
A: mean of 3.3 years and a SD of 0.8 years
Q: Person 1 (X) = 1 hour, z = -0.5 Person 2 (X) = 3 hours, z= 0.5 Person 3 (X) = 4 hours, z= 1 4. Using…
A: The question is about normal dist. Given : Person 1 ( X ) = 1 hr. , z = -0.5 Person 2 ( X ) = 3 hr.…
Q: Suppose that we pick at random a value from a dataset whose probability distribution is normal…
A: The random variable X is bell shaped normally distributed random variable. The X follows normal…
Q: Suppose the number of items you can deliver in a day is a random variable with some unknown…
A: According to the given information, we have Mean = 35 Standard deviation = 8 Sample size = 36
Q: Suppose that the annual rate of return for a common biotechnology stock is normally distributed with…
A: Given Mean=4.5 Standard deviations 4
Q: Suppose the average time it takes to complete is 60 minutes with a population standard deviation of…
A: Given that the average time it takes to complete is 60 minutes with a population standard deviation…
Q: Suppose that the duration of a particular type of criminal trial is known to have a mean of 24 days…
A: Given that : The mean duration of a particular type of criminal trial ( µ ) = 24 days The standard…
Q: Find the probability that a normal variable takes on values more than 1/6 standard deviations away…
A: The objective of this question is to find the probability that a normal variable takes on values…
Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105 and a…
A:
Q: Assume that men's weights are normally distributed with mean 182.9 pounds and standard deviation…
A: Solution
Q: Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard…
A: Given : Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a…
Q: A random sample of 100 items is selected from a population of size 350. What is the probability that…
A:
Q: Suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600.…
A: Central limit theorem As per the Central limit theorem, the sampling distribution of sample mean…
Q: The time between breakdowns of an alarm system is exponentially distributed with mean 10 days. What…
A: Given thatMean of exponential distribution And we know that cdf of exponential distribution is given…
Q: The lifespan of EEL light bulbs is a random variable obeying a normal law. Lifetime average of these…
A: The lifespan of EEL light bulbs is a random variable obeying a normal law. The lifetimeaverage of…
Q: The time between calls to a computer technical support is exponentially distributed with a mean time…
A: Let the random variable X denotes receive a phone call.
Find the probability that the value of the exponential random variable with mean rate of 3.2 will be having a value lower than 0.808
Step by step
Solved in 2 steps with 3 images
- The number of days between precipitation events during the fall season is modeled by an exponential distribution with mean 9.7. Compute the probability that the next inter-arrival time for precipitation events is more than 7 days. Use three decimal place accuracy.Suppose the number of items you can deliver in a day is a random variable with some unknown distribution with a mean of 35 and a standard deviation of 8. What is the probability a random sample of 36 days would have a mean greater than 37.08?Delivery times for shipments from a central warehouse are exponentially distributed with a mean of 2.64 days. A random sample of 81 shipments are selected and their shipping times are observed. Find the probability that the average shipping time is less than 2.28 days.
- What is the probability that the total of two randomly chosen numbers exceeds 3, where the first number is chosen from a uniform distribution between 0 and 2, and the second number is selected from an exponential distribution with a mean of 1?Assume that the distribution of time spent on leisure activities by adults living in household with no young children is normally distributed with a mean of 4.5 hours per day and a standard deviation of 1.3 hours per day. Find the probability that the amount of time spent on leisure activities per day for a randomly selected adult from the population of interest is less than 6 hours per day.If arrivals occur at a mean rate of 2.6 events per minute the exponential probability of waiting more than 1.5 minutes for the next arrival is is a .0202 or .0122 or .0535 or .2564
- The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation 8.39min. Find the probability that the mean cycling time taken by a random sample of 38 competitors is greater than 25 minutes. Give your answer in 3 decimal places.Suppose the horses in a large stable have a mean weight of 873lbs, and variance of 17,161. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 50 horses are sampled at random from the stable? Round your answer to four decimal places.A manufacturer of battery claims that the life of his batteries is approximately normally distributed with a mean life of 4 years and a standard deviation equal to one (1) year. What is the probability that the battery last more than five (5) years.
- Suppose that the annual rate of return for a common biotechnology stock is normally distributed with a mean of 5% and a standard deviation of 6%. Find the probability that the one-year return of this stock will be positive. Round your answer to at least four decimal places.The weights of steers in a herd are distributed normally. The variance is 40,000 and the mean steer weight is 1400lbs. Find the probability that the weight of a randomly selected steer is between 1537lbs and 1679lbs Round your answer to four decimal places.You studied a third CPU and found that its speed is a continuous random variable that follows a normal distribution, with a mean value of 3.6 GHz and a standard deviation of 0.8 GHz. Find the probability that the third CPU would run faster than the expected speed of CPU1.