A quart of milk contains a mean of 35 g of butterfat, with a standard deviation of 4 g. If the butterfat is normally distributed, find the probability that a quart of this brand of milk chosen at random will contain the following. (Round your answers to four decimal places.)
(a) between 35 and 39 g of butterfat
(b) between 25 and 35 g of butterfat
The heights of a certain species of plant are normally distributed, with mean μ = 23 cm and standard deviation σ = 4 cm. What is the probability that a plant chosen at random will be between 17 and 29 cm tall? (Round your answer to four decimal places.)
Suppose a population of scores x is normally distributed with μ = 60 and σ = 10. Use the standard normal distribution to find the probability indicated. (Round your answer to four decimal places.)
Pr(55 ≤ x ≤ 65)
A quart of milk contains a mean of 35 g of butterfat, with a standard deviation...
Question 1) Assume that the heights of American men are normally distributed with a mean of 69.2 inches and a standard deviation of 3.2 inches. What is the probability that a randomly selected man will be between 5'9" and 6'1" tall? (Round your answer to four decimal places.) Question 2) Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to one decimal place.) μ = 36 and σ...
A population has a mean μ-85 and a standard deviation σ-21. Find the mean and standard deviation of a sampling distribution of sample means with sample size n 49 H(Simplity your answer) o-# L] (Simplify your answer.) to the random variable x is normally distributed with mean-83 and standard deviation ơ-4 Find the indicated probability P(70sx 76) P(70 < x < 76)= Round to four decimal places as needed.) Enter your answer in the answer box
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 66 inches and standard deviation 1 inches. (a) What is the probability that an 18-year-old man selected at random is between 65 and 67 inches tall? (Round your answer to four decimal places.) (b) If a random sample of twenty 18-year-old men is selected, what is the probability that the mean height x is between 65 and 67 inches? (Round your answer to four decimal places.)
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 68 inches and standard deviation 5 inches. (a) What is the probability that an 18-year-old man selected at random is between 67 and 69 inches tall? (Round your answer to four decimal places.) (b) If a random sample of thirteen 18-year-old men is selected, what is the probability that the mean height x is between 67 and 69 inches? (Round your answer to four decimal places.)
Assume the random variable x is normally distributed with mean μ=82 and standard deviation σ=44. Find the indicated probability. P(x<79 ) P(xl<79 )=______ (Round to four decimal places as needed.)
1. X has a normal distribution with the given mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 41, σ = 20, find P(35 ≤ X ≤ 42) 2. Find the probability that a normal variable takes on values within 0.9 standard deviations of its mean. (Round your decimal to four decimal places.) 3. Suppose X is a normal random variable with mean μ = 100 and standard deviation σ = 10....
Assume the random variable X is normally distributed with mean μ=50 and standard deviation σ=7. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. P(X>38)=________ (Round to four decimal places as needed.)
a. Consider a normal distribution with mean 20 and standard deviation 4. What is the probability a value selected at random from this distribution is greater than 20? (Round your answer to two decimal places. b. 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 = 14.3; σ = 3.5 P(10 ≤ x ≤ 26) = c. Assume that x has a normal...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 73 inches and standard deviation 6 inches. in USE SALT (a) What is the probability that an 18-year-old man selected at random is between 72 and 74 inches tall? (Round your answer to four decimal places.) 0.9928 X (b) If a random sample of twenty-nine 18-year-old men is selected, what is the probability that the mean height is between 72 and 74 inches? (Round your answer to four...
Assume that the random variable X is normally distributed, with mean μ = 110 and standard deviation σ = 5. Compute the probability P(X > 114). Round to four decimal places.