According to a recent study, the average night’s sleep is 8 hours. Assume that the standard deviation is 1.1 hours and that the probability distribution is normal. a) What is the probability that a randomly selected person sleeps for more than 8 hours? (2 marks) b) Doctors suggest getting between 7 and 9 hours of sleep each night. What percentage of the population gets this much sleep? (2 marks)

Q: the average age of ceos is 54 years. assume the random variable is normally distributed. if the…

A: Let X be the random variable from normal distribution with mean (μ) = 54 and standard deviation (σ)…

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: Suppose a convenience store averages 450 customers per day entering the store with a standard…

A: Let X be a random variable following normal distribution with mean μ and variance σ2, i.e.,…

Q: A factory's worker productivity is normally distributed. One worker produces an average of 73 units…

A: Given: μ1 = 73 σ1 = 21 μ2 = 68 σ2 = 20

Q: The amount of money requested on home loan applications at a Bank follow a normal distribution with…

A: From the provided information, Mean (µ) = 73 Standard deviation (σ) = 22 Let X be a random variable…

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 recent study of teacher salaries in rural areas showed that the average salary was $30,000/year…

A: Given μ= population mean of salary =30000σ=standard deviation of salary =3000

Q: According to San Jose Mercury News, children in China average 3 hours a day unsupervised. Most of…

A:

Q: A coin is tossed 5 times. What is the probability that a) at most 2 heads will occur? (b) At least 2…

A: Given 3 problems related to binomial distribution.  We have to find the indicated probability in…

Q: A particular fruit's weights are normally distributed, with a mean of 794 grams and a standard…

A: given data normal distributionμ = 794 gramsσ = 38 grams

Q: the same number for both cubes. b. a sum of 5 c. a 4 and a 6

A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

Q: A traffic light is set to switch from red to green according to a uniform distribution with a mean…

A: The cumulative density function for uniform distribution is  F(X)=x-ab-a The mean of uniform…

Q: The statements of a talking robot ‘Rufia’ are either true or false. The probability of a statement…

A: Given : The statements of a talking robot ‘Rufia’ are either true or false. The probability of a…

Q: The statements of a talking robot ‘Rufia’ are either true or false. The probability of a statement…

A: Given information: The percentage of false statement is 50%. There are 18 random statements. That…

Q: Researchers found that boys playing high school football recorded an average of 355 hits to the head…

A: Given Mean=355 Standard deviations=80

Q: Data from an experiment show that the standard deviation is 3.6 and the mean is 23.4. Find the…

A:

Q: In 2001 there were 869 road fatalities in Virginia, according to the Virginia Department of Motor…

A:

Q: annual precipitation amounts in a certain mountain range are normally distributed with a mean of 82…

A: Given,sample size(n)=25mean(μ)=82standard deviation(σ)=9

Q: Assume that the number of calories in a McDonald's Egg McMuffin is a normally distributed random…

A:

Q: 1) The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The time until recharge for a battery in a smartphone is normally distributed with a mean of 250…

A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: 5) Normal Distribution A soft drink machine is calibrated to dispense an average of 200 milliliters…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted....…

Q: Recent report in Times showed a typical family of four spends $490 per month on food with a mean of…

A:

Q: The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours…

A: Draw the normal curve and shade the area to the left of z=-0.75. Refer to Standard normal…

Q: -Test   ​Z-Test                 Inpt: Data Stats       μ≠80         μ0​:80     z=−1.41421356…

A:

Q: he probability that a house in an urban area will be burglarized is 5%. A sample of 50 houses is…

A: Given,n=50p=0.05A random variable X~Binomial(n=50 . p=0.05)P(X=x)=50x0.05x1-0.0550-x   ;…

Q: Elephants are the mammals with the longest gestation period.  One species of elephant has a mean…

A: We have find probabiity..

Q: The top-selling Red and Voss tire is rated 70000 miles, which means nothing. In fact, the distance…

A: Given Mean = 81000 Sd = 5000

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Mean=10, Standard deviation=3

Q: home study time (in hours) college freshmen each week is a normal variable with a mean of 23.2 h.…

A:

Q: The number of pizzas consumed per month by university students is normally distributed with a mean…

A: Given that the number of pizzas consumed per month by university students is normally distributed…

Q: 3. A student's chances of being accepted to Harvard are about 5%. What is the probability that only…

A: One of the significant distributions under discrete probability distribution is the binomial…

Q: n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute).…

A: actual mean = 17.2ppm  standard deviation = 3.25ppm sample size = 12 The printing speed is actually…

Q: Erla rolls six sided dice 15 times. What is the standard deviation of the number of sixes that…

A: Let p be the probability of six  p=1/6, n=15 Let X be the number of sixes in rolling of dice  Then…

Q: company manufactures resistors that have a mean resistance of An electronics 100ohms and a standard…

A:

Q: Guitar maker, Gibson, has an electric guitar model called the Les Paul. A particular model of the…

A:

Q: Among the students of AUCA, 30% know two foreign languages. Find the mean and the standard deviation…

A:

Q: Suppose the heights of students in a class follows normal distribution. The mean is 66 inches and…

A: It is given that the mean is 66 inches and the standard deviation is 5 inches.

Q: tend to have lower resting heart rates. The mean resting heart rate for adults is 65 BPM (beats per…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…