Question

Suppose a team of biologists has been studying a group of trout. This team has determined...

Suppose a team of biologists has been studying a group of trout. This team has determined that the lengths of the trout are normally distributed with a mean of 10.7 inches and a standard deviation of 1.2 inches.

a) If one trout is selected at random, what is the probability that its length will be between 7.5 and 8.2 inches?

b) If eight trout are selected at random, what is the probability that their mean length will be less than 11.3 inches?

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
Suppose a team of biologists has been studying the Pinedale children’s fishing pond. Let represent the...
Suppose a team of biologists has been studying the Pinedale children’s fishing pond. Let represent the length of a single trout taken at random from the pond. This group of biologists has determined that has a normal distribution with mean µ = 10.2 inches and standard deviation σ = 1.4 inches. a. What is the probability that a single trout taken at random from the pond is between 8 and 12 inches long? b. What is the probability that the...
A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to...
A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally distributed with mean 80 centimeters and standard deviation 5 centimeters. a. What proportion of these fish are larger than 86.5 centimeters in length? b. If you take a random sample of 6 brook trout, what is the probability that their average length is greater than 86.5 cm? c. What is the minimum length for the top 15% of brook trout?
Suppose the lengths of green beans for a particular farm are Normally distributed with a mean...
Suppose the lengths of green beans for a particular farm are Normally distributed with a mean of 7 inches and a standard deviation of 1.2 inches. Due to the different methods, select the best possible answer for each question 1. What percent of green beans measure over 6.1 inches? 2. What percent of green beans measure between 8.2 inches and 13.3 inches? (round to the nearest percent) 3. What length represents the 67th percentile? 4. What is the probability that...
The wildlife department has been feeding a special food to rainbow trout fingerlings in a pond....
The wildlife department has been feeding a special food to rainbow trout fingerlings in a pond. Based on a large number of observations, the distribution of trout weights is normally distributed with a mean of 402.7 grams and a standard deviation of 8.8 grams. What is the probability that the mean weight for a sample of 50 trout exceeds 405.5 grams?
In a survey of a group of​ men, the heights in the​ 20-29 age group were...
In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 68.3 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below. ​ (a) Find the probability that a study participant has a height that is less than 65 inches. The probability that the study participant selected at random is less than 65 inches tall is (......). ​(Round to...
1) A company produces steel rods. The lengths of the steel rods are normally distributed with...
1) A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 183.4-cm and a standard deviation of 1.3-cm. Find the probability that the length of a randomly selected steel rod is between 179.9-cm and 180.3-cm. P(179.9<x<180.3)=P(179.9<x<180.3)= 2) A manufacturer knows that their items have a normally distributed length, with a mean of 6.3 inches, and standard deviation of 0.6 inches. If 9 items are chosen at random, what is the probability that...
A: Given that the length an athlete throws a hammer is a normal random variable with...
A: Given that the length an athlete throws a hammer is a normal random variable with mean 50 feet and standard deviation 5 feet, what is the probability he throws it between 50 feet and 60 feet? B: The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30 inches and a standard deviation of 0.5 inches. What is the probability that a sheet selected at random will be less than 29 inches long?
The lengths of lumber a machine cuts are normally distributed with a mean of 9595 inches...
The lengths of lumber a machine cuts are normally distributed with a mean of 9595 inches and a standard deviation of 0.70.7 inch. ​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 95.3295.32 ​inches? ​(b) A sample of 4545 boards is randomly selected. What is the probability that their mean length is greater than 95.3295.32 ​inches?
The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches...
The lengths of lumber a machine cuts are normally distributed with a mean of 105 inches and a standard deviation of 0.5 inch. ​(a) What is the probability that a randomly selected board cut by the machine has a length greater than 105.14 ​inches? ​(b) A sample of 42 boards is randomly selected. What is the probability that their mean length is greater than 105.14 ​inches?
Suppose the lengths of bread made at a bakery is distributed normally with a mean of...
Suppose the lengths of bread made at a bakery is distributed normally with a mean of 20 cm and standard deviation of 3.5 cm. a. What is the probability that a single randomly selected bread has a length less than 22 cm? b. what is the probability the mean length of 12 randomly selected breads is less than 22 cm?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT