Suppose the yearly rainfall totals for a some city follow a normal distribution, with mean of 18 inches and standard deviation of 6 inches
The mean daily rainfall in Los Angeles in December is 0.05 inches with a standard deviation of 0.02 inches. What is the probability that the total rainfall in Los Angeles for 35 randomly selected December days (possibly over several years) will exceed 2 inches? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find the probability that a randomly selected utility bill is (a) less than $65, (b) between $87 and $100, and (c) more than $110. (a) The probability that a randomly selected utility bill is less than $65 is _______ (Round to four decimal places as needed.) Use the normal distribution to the right to answer the questions. (a) What percent of the...
The mean annual rainfall in a local city is approximately normally distributed with the a mean of 14 inches and a standard deviation of 1.5 inches. What is the probability that the annual rainfall will.. a.) Exceed 12 inches b.) Be less than 16 inches c.) Be between 16 and 20 inches
A population's distribution is normal with a mean of 18 and a standard deviation of 4. A sample of 20 observations is selected and a sample mean computed. What is the probability that the sample mean is more than 19.5? Express your solution as the decimal equivalent of a probability rounded to four decimal places.
The heights for 5-year-old boys follow the normal distribution with a mean height of 43 inches and a standard deviation of 5.3 inches. A sample of 60 boys is randomly selected.If possible, find the probability that the mean height of boys in the sample is higher than 42 inches. If not, explain.
1) We know that z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that z is less than 1.15 is . Use your z-table and report your answer to four decimal places. 2)A sample of 15 grades from a recent Stats exam has a mean of 69.3 points (out of a possible 100 points) and a standard deviation of 16.5 points. Calculate the z-score for the student who scored 74.1 points on...
Consider a normal distribution with mean 25 and standard deviation 5. What is the probability a value selected at random from this distribution is greater than 25? (Round your answer to two decimal places.) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.9; σ = 3.5 P(10 ≤ x ≤ 26) = Need Help? Read It Assume that x has a...
In the United States, the mean yearly precipitation in Toledo, Ohio is 51 inches. The yearly precipitation is normally distributed and the population standard deviation is 10.84 inches. If we randomly sampled 86 years, what is the probability that the mean precipitation is between 52 inches and 54 inches? (5 points) μ = inches σ = inches ? x̄ x = Select an answer The precipitation in inches of a randomly selected year. The mean percipitation in inches of randomly selected years....
Given a standardized normal distribution (with a mean of O and a standard deviation of 1), complete parts (a) through (d). Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. a. What is the probability that Z is less than 1.05? The probability that Z is less than 1.05 is 8289 (Round to four decimal places as needed.) b. What is the probability...
A population of values has a normal distribution with mean=155.9 and standard deviation=42.1. You intend to draw a random sample of size=12. Find the probability that a single randomly selected value is less than 172.9. P(X<172.9). Find the probability that a sample of size=12 is randomly selected with a mean less than 172.9. P(M<172.9). Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.