Question

Suppose the numbers of a particular type of bacteria in samples of 1 millilitre (mL) of...

Suppose the numbers of a particular type of bacteria in samples of 1 millilitre (mL) of drinking water tend to be approximately normally distributed, with a mean of 81 and a standard deviation of 9. What is the probability that a given 1-mL sample will contain more than 102 bacteria? (Round your answer to four decimal places.)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
7. A normal random variable x has mean μ = 1.7 and standard deviation σ =...
7. A normal random variable x has mean μ = 1.7 and standard deviation σ = 0.17. Find the probabilities of these X-values. (Round your answers to four decimal places.) (a)   1.00 < X < 1.60 (b)    X > 1.39 (c)   1.25 < X < 1.50 8. Suppose the numbers of a particular type of bacteria in samples of 1 millilitre (mL) of drinking water tend to be approximately normally distributed, with a mean of 81 and a standard deviation of 8. What...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 9 hours. a. What is the probability that a single battery randomly selected from the population will have a life between 70 and 80 ​hours? ​P(70less than or equalsx overbarless than or equals80​)equals nothing ​(Round to four decimal places as​ needed.)
2.Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
2.Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 9 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between 65 and 85​hours? ​P(65≤ overbar x≤85​)= (Round to four decimal places as​ needed.)
1. Suppose a population is known to be normally distributed with a mean, μ, equal to...
1. Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 102 and 144? 2. Suppose a population is known to be normally distributed with a mean, μ, equal to 116 and a standard deviation, σ, equal to 14. Approximately what percent of the population would be between 102 and 130? 3. Suppose a population is known...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 9 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between 70 and 80 ​hours? ​P(70 < or = x overbar < or = 80​) = 0.4246 ​(Round to four decimal places as​ needed.) b. What is the probability that...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a...
Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 80 hours and a standard deviation of 11 hours. Complete parts a through c. a. What is the probability that a single battery randomly selected from the population will have a life between and hours? 75 85 P(75 ≤ x ≤ 85) = (Round to four decimal places as needed.) b. What is the probability that randomly sampled batteries from the population...
Suppose a random sample of n = 16 observations is selected from a population that is...
Suppose a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 102 and standard deviation equal to 10. a) Give the mean and the standard deviation of the sampling distribution of the sample mean x. mean = standard deviation = b) Find the probability that x exceeds 106. (Round your answer to four decimal places.) c) Find the probability that the sample mean deviates from the population mean μ...
(A) The amount of tea leaves in a can from a particular production line is normally...
(A) The amount of tea leaves in a can from a particular production line is normally distributed with μ (mean) = 110 grams and σ (Standard deviation) = 5 grams. (i) What is the probability that a randomly selected can will contain less than 105 grams of tea leaves?                            (ii) If a sample of 9 cans is selected, what is the probability that the sample mean of the content “tea leaves” to be more than 115 grams?            (B) In a...
Suppose that the duration of a particular type of criminal trial is known to be normally...
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 16 days and a standard deviation of 6 days. Let X be the number of days for a randomly selected trial. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. If one of the trials is randomly chosen, find the probability that it lasted at least 17 days....
Suppose a geyser has a mean time between eruptions of 85 minutes. Let the interval of...
Suppose a geyser has a mean time between eruptions of 85 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 23 minutes. What is the probability that a random sample of 9 time intervals between eruptions has a mean longer than 96 ​minutes? The probability that the mean of a random sample of 9 time intervals is more than 96 minutes is approximately _______. ​(Round to four decimal places as​ needed.)