The square footage of rental properties in New Orleans is
normally distributed with a mean of 1000 square feet and a standard
deviation of 150 square feet.
a. If we visit one rental property in New Orleans, what is the
probability that its square footage is more than 1200 square
feet?
b. If we visit four rental properties in New Orleans, what is the
probability that their mean square footage is more than 1200 square
feet?
5. Let ? be a random variable with the following probability
distribution.
? ?(?)
1 0.6
5 0.4
Consider a sample of size 3 from the population, and let ?̅ be the
sample mean. Construct a probability distribution for ?̅.
The square footage of rental properties in New Orleans is normally distributed with a mean of...
The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. Let Y be the difference of the amount of cereal in the two bowls (Large-S...
Problem 2 Salaries for new assistant professors at State College are normally distributed with a mean of $80000 and a standard deviation of $7000 We randomly survey 20 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X be the average salary of 20 randomly selected teachers b. (3%) 8 ~ Ipick one, B ( c. (396) Find the probability that an individual teacher earns more than $65,000. P(X> 65000) d....
Problem 2 Salaries for new assistant professors at State College are normally distributed with a mean of $80000 and a standard deviation of $7000 We randomly survey 20 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X be the average salary of 20 randomly selected teachers X- a. (3%) b. (3%) c. (396) (pick one) B X ~ tpick one, B Frd the probability that an individual teacher earns more...
Problem 2 Salaries for new assistant professors at State College are normally distributed with a mean of $50000 and a standard deviation of $5000. We randomly survey 10 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X be the average salary of 10 randomly selected teachers a. (3%) x ~ Cpick one) : b. (3%) 8 ~ I(pick one): (3%) Find the probability that an individual teacher earns more than...
Problem 2 Salaries for new assistant professors at State College are normally distributed with a mean of $80000 and a standard deviation of $7000 We randomly survey 20 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X be the average salary of 20 randomly selected teachers bxpan a.(3%)X~ b, (3%)8~ (3%) Normal Norma, D Find the probability that an individual teacher earns more than $65,000. P(X> 65000) d. (3%) Find...
Salaries for new assistant professors at State College are normally distributed with a mean of $70000 and a standard deviation of S6000. We randomly survey 30 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X be the average salary of 30 randomly selected teachers a. (3%) (pick one) b. (3%) X~(pick one) C. (3%) Find the probability that an individual teacher earns more than $65,000 P(X > 65000)- d. (3%)...
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.4 feet and a standard deviation of 0.3 feet. A sample of 34 men’s step lengths is taken. (a) Find the probability that an individual man’s step length is less than 2.1 feet. (b) Find the probability that the mean of the sample taken is less than 2.1 feet.
If the salary of New Yorkers is normally distributed with a mean income of $100,000 and a standard deviation of $30,000, what is the probability that a randomly drawn person from the population makes more than $160,000? Less than $70,000?
Reaction time is normally distributed, with a mean of 0.6 sec and a standard deviation of 0.1 sec. Find the probability that an individual selected at random has the following reaction times. (Round your answers to four decimal places.) (a) greater than 0.7 sec (b) less than 0.4 sec (c) between 0.4 and 0.7 sec
The distribution of piston diameters is normally distributed with mean μ inches and standard deviation 5 inches. Engineer Dan takes a sample of 25 pistons from the manufacturing assembly line. Let X1, X2, ..., X25 denote these observations which are iid (independently & identically distributed). a.) What is the probability that X-bar, the sample mean of Dan's 25 observations, is within 1 inch of the population mean μ? b.) Suppose engineer Jane decides to take a sample of 30 observations....