from company A and 200 devices from company B. Calculate the probability that the difference between average life of the sample from company A and of the sample from company B is between 100 and 200 hours.
Q: Assuming the life times of different bulbs are independent, approximate the probability that the…
A: Let X be the random variable of the lifetime of a bulb.Given that,No. of extra luminescent bulbs
Q: Assume that the total cholesterol levels for adults are normally distributed with mean cholesterol…
A: Given data: Mean = 51.8 mg/dL Standard deviation = 14.3 mg/dL To find: Find the probability that…
Q: About 8% of the population has a particular genetic mutation, A group of 800 people is randomly…
A: Answer: From the given data, A group of 800 people is randomly selected, Here, n = 800 and p…
Q: Suppose that the life expectancy of a certain brand of nondefective light bulbs is normally…
A: The problem provides us with the following values:Mean (μ) = 1100 hoursStandard deviation (σ) = 50…
Q: is a normal random variable with mean 20 and stadard deviation 50. Find the probability that 15
A: Answer the population mean = 20The population standard deviation = 50Using formula:P [A<Z<B] =…
Q: A sample of size 86 will be drawn from a population with mean 90 and standard deviation 24. Use the…
A: given that n=86 mean=90
Q: A cigarette manufacturer claims that one-eighth of the US adult population smokes cigarettes. In a…
A: Given: P = 18 = 0.125 n = 100 X = 5 α = 0.05 Formula Used: Test-statistic Z = p-PP(1-P)n
Q: Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum…
A: Mean()=183standard deviation()=37sample size(n)=60
Q: A hybrid cars battery company produces batteries with mean life 100,000 Kilometers and standard…
A: Given : A hybrid cars battery company produces batteries with mean life 100,000 km and S.D 5000 km…
Q: Men in a certain area have an average weight of 161 pounds with a strandard deviation of 33.1 find…
A: Given, Mean μ = 161 Standard deviation σ = 33.1 X ~ N(161, 33.12) We have to determine the…
Q: Suppose X∼N(9,1.5), and x=13.5. Find and interpret the z-score of the standardized normal random…
A: Given: X~N(9, 1.5) x = 13.5 Formula Used: Z-score = x-μσ
Q: Dr. Gregory House makes an average of µ = 73 Covid-19 diagnoses every week. The distribution of…
A: Given data,μ=73σ=10P(X>80)=?
Q: A sample of n=30 college sophomores was drawn to assess the number of times per day they open some…
A: Obtain the Z-score for the random variable M equals 40 The Z-score for the random variable M equals…
Q: An electrical appliance made by company A has an average life of 2500 hours, with a standard…
A:
Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If 12% of the…
A:
Q: About 8% of the population has a particular genetic mutation, A group of 120 people is randomly…
A: Answer: From the given data, Sample size(n) = 120 p = 8% = 0.08 X~Binomial distribution(n,p)
Q: Suppose you are an environmental researcher for an organization. As part of your research, you…
A: Givensample size(n)=43Mean(μ)=381standard deviation(σ)=31
Q: An electronic component is known to have a useful life which follows a probability distribution with…
A: A Poisson distribution is a counting distribution; it counts the random number of failures occurring…
Q: 10. We want to test a claim that the proportion of people with type 2 diabetes is higher than 0.09.…
A: Given,n=400x=45p^=xnp^=45400=0.1125H0:P=0.09H1:P>0.09
Q: An electrical firm manufactures light bulbs that have a length of life that is normally distributed…
A:
Q: Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum…
A: From the given information ,Population mean , 183Population standard deviation , 37sample size , n =…
Q: A manufacturer of a lightbulb claimed that its lightbulbs have a mean lifetime of 700 hours with a…
A: Given Mean=mu=700 Standard deviation=sigma=120 n=144
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 random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…
A: Given Data: X is a random variable Variance (X)=16 X~ Normal (μ, 16) P(x>65)=0.025
Q: About 7% of the population has a particular genetic mutation, A group of 100 people is randomly…
A: Answer: From the given data, n = 100 p = 7% =0.07 X~Binomial distribution(n,p)
Q: A manager of an apartment store reports that the time of a customer on the second floor must wait…
A: A manager of an apartment store reports that the time of a customer on the second floor must wait…
Q: Each month, a public market in Batangas generates an average of 30 pounds of plastic for garbage or…
A: Mean(µ) = 30Standard deviations (σ) = 4X ~ N (µ, σ )= N (30, 4)
Q: The mean weight of all Goliath grouper caught on the Treasure coast is 428 pounds, with a standard…
A: From the provided information, Mean (µ) = 428 Standard deviation (σ) = 59
Q: A random sample of size n, = 25, taken from a normal population with a standard deviation o, = 5,…
A:
Q: 2. Using the standard normal curve, find the probability that a given value falls between 2.96 and…
A: Note: According to Bartleby guidelines expert solve only one question and rest can be reposted.
Q: About 9% of the population has a particular genetic mutation, A group of 1200 people is randomly…
A: Answer: From the given data, Number of tails (n) = 1200 Success of probability (p) = 9% =0.09…
Q: Suppose that a service centre finds that the time taken to resolve customer issues has a mean of 20…
A: It is given that μ=20 and σ=4. The z score is calculated asz=x-μσ
Q: A Soft drink machine outputs a mean of 25 ounces per elip. The machines output is normally, With a…
A: Given that: Population mean, μ=25 Population standard deviation, σ=4
Q: Assume that the total cholesterol levels for adults are normally distributed with mean cholesterol…
A:
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 quality control manager at a computer manufacturing company believes that the mean life of a…
A: let denotes the mean lifetime of computersThis follows the normal…
Step by step
Solved in 3 steps with 3 images
- plz asapWrite the probability density function of a normal random variable and a standard normal random variable. If the annual rainfall in Cape Town is normally distributed with mean 20.2 inches and standard deviation 3.6 inches. Find the probability that the sum of the next five years’ rainfall exceeds 110 inches.A random sample of size 29 is selected from a normal population with mean = and variance = 8. Determine the probability that s? (the sample variance) is between 11.81 and 14.57. 12
- A sample of size 126 will be drawn from a population with mean 26 and standard deviation 3. Use the TI-84 calculator. Part 1 of 2 Find the probability that x will be between 25 and 27. Round the answer to four decimal places. The probability that x will be between 25 and 27 is Part 2 of 2 th Find the 55 percentile of X. Round the answer to two decimal places. The 55th percentile isThe number of ants per acre in the forest is normally distributed with mean 45,000 and standard deviation 12,005. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. please answer all 3 subs B, C, and D round all answers to 4 decimal place where possible thank youb. Find the probability that a randomly selected acre in the forest has fewer than 54,589 ants. c. Find the probability that a randomly selected acre has between 48,168 and 56,283 ants. d. Find the first quartile. ants (round your answer to a whole number)Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.4 and a mean diameter of 209 inches. If 69 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.1 inches? Round your answer to four decimal places. use ti 84 device
- The average life of a certain battery is 7 years, with a standardeviation of 2 year. A random sample of size 16 of such batteries Assume that the live of the battery approximately follows a normal distribution. What is the probability that the average life will be at most 8 years?A random sample of 40 computer chips is drawn from population and the weight of each recorded. A previous study showed that the population mean weight was 0.8 ounces with a standard deviation of 0.1 ounces. What is the probability that the sample has a mean weight between 0.75 and 0.90 ounces?An electrical appliance made by company A has an average life of 2500 hours, with a standard deviation of 500 hours. Another company B makes this appliance with an average life of 2300 hours, and a standard deviation of 800 hours. We take 300 devices from company A and 200 devices from company B. Calculate the probability that the average life of the sample from company A is 100 hours less than the average life of the sample from company B. O None of the other options O 0.0582 0.4418 O 0.9418
- 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 .2564The next six questions refer to the following scenario: A random sample of 25 students were asked to self-identify as "statistics-lovers" or "statistics-adorers." 16 students self-identified as "lovers" and 9 students as "adorers." Below table summarizes the mean of a statistics test and standard deviation that was given after the self-identification. Test the following hypothesis at alpha=5% (0.05). HO: Mean Statistics Lovers = Mean Statistics Adorers HA: Mean Statistics Lovers Mean Statistics Adorers You can assume equal variance.Suppose that in a large population of women (aged 20 to 29-years-old) that the mean serum cholesterol level is 183 mg/dl and the standard deviation is 37. Find the probability that a sample of size 60 from this population will yield a mean cholesterol level. Greater than 190