Of all the companies on the New York Stock Exchange, profits are normally distributed with a mean of $6.54 million and a standard deviation of $10.45 million. In a random sample of 73 companies from the NYSE, what is the probability that the mean profit for the sample was between -2.8 million and 3.9 million? 0.019 0.215 0.015 0.105
Of all the companies on the New York Stock Exchange, profits are normally distributed with a...
The times of the finishers in the New York City 10km run are normally distributed with mean of μ minutes and standard deviation 9 minutes. It is known that 80% of finishers have a finish time greater than 53.44 minutes. Let X denote the finishing time for finishers in this race. a) Find the mean finishing time (µ). Note: Provide the R code and output for the z-value or finding area under the standard normal curve. b)In 2013 approximately 7748...
1) a) A manufacturer knows that their items have a normally distributed length, with a mean of 13.4 inches, and standard deviation of 2 inches. If one item is chosen at random, what is the probability that it is less than 7.5 inches long? b) A manufacturer knows that their items lifespans are normally distributed with mean = 14.2 and standard deviation = 3.9. What proportion of the items' lifespans will be longer than 25 years? c) A particular fruit's...
the weights of turkeys on a farm are normally distributed with a mean of 68.2 inches and a standard deviation of of 3.9 pounds. What is the probability that a turkey selected at random will weigh less than 16 pounds.
call is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The actual weight of coal loaded into each car are normally distributed with a mean of 75 tons and a standard deviation of 0.8 tons. Let x( with a line over it ) be the average call weight of a random sample of 20 cars. a. Calculate the mean and standard deviation of x, and describe the...
The times of the finishers in the New
York City 10km run are normally distributed with mean
of minutes and standard deviation minutes. It
is known that 70% of finishers have a finish time greater than 60
minutes. Let denote the finishing time for finishers in
this race. Find the standard deviation of the finishing time
().
The times of the finishers in the New York City 10km run are normally distributed with mean of 61 minutes and standard deviation o minutes. It...
6.33 Let x be a continuous random variable that is normally distributed with a mean of 25 and a standard deviation of 6. Find the probability that x assumes a value a. between 28 and 34 b. between 20 and 35 6.34 Let x be a continuous random variable that has a normal distribution with a mean of 30 and a stan- dard deviation of 2. Find the probability that x assumes a value a. between 29 and 35 b....
Assume that the heights of adult puffins are normally distributed, with a mean of μ = μ = 14.2 inches and a standard deviation of σ = σ = 2.8 inches. For a random sample of 67 puffins, answer the following: What is the mean of the distribution of ¯ x ? Correct What is the standard deviation of the distribution of ¯ x?
The times of the finishers in the New York City 10km run are normally distributed with mean of 61 minutes and standard deviation ? minutes. It is known that 70% of finishers have a finish time greater than 60 minutes. Let ?denote the finishing time for finishers in this race. Note: Show your R codes/output. Note: You can use the functions pnorm() or qnorm() in R to help you in solving the following parts. The function pnorm(), compute probabilities from...
The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. Find the probability that more than 1 bankruptcy occur next month. Round your answer to four decimal places. The Securities and Exchange Commission has determined that the number of companies listed in NYSE declaring bankruptcy is approximately a Poisson distribution with a mean of 2.6 per month. What is the expected...
Assume that the monthly rainfall in New York is normally distributed with mean 35.4 inches and standard deviation 4.2 inches. A research is conducted at the university of Ottawa for 10 months. Let D = X1 − X10 be the difference of the rainfall in month 1 and in month 10. Compute the mean and the standard deviation of D, respectively. Assume that monthly rainfall are independent. A.0; 8.4 B.0; 5.9 C.0; 0 D.-35.4; 5.9 E.-35.4; 8.4