Question

(01.06 LC) The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90...

(01.06 LC)

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams? (3 points)

99.7%

95%

68%

47.5%

34%

Homework Answers

Answer #1

Solution:

The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams. What percentage of the grasshoppers weigh between 86 grams and 94 grams?

Answer: 95%

Explanation: We have to find:

Using the z-score formula, we have:

  

  

Now using the standard normal table, we have:

Therefore, the correct option is 95%

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
Given a normal distribution with a mean of 125 and a standard deviation of 14, what...
Given a normal distribution with a mean of 125 and a standard deviation of 14, what percentage of values is within the interval 111 to 139? (4 points) 32% 50% 68% 95% 99.7%
The weight of a certain type of fishes follows a normal distribution with mean 250 grams...
The weight of a certain type of fishes follows a normal distribution with mean 250 grams and standard deviation 20 grams. (a) Find the probability that the weight of a fish will be less than 260 grams. (b) Find the probability that the weight of a fish will exceed 245 grams. (c) Find the probability that the weight of a fish will be from 200 to 270 grams. (d) Find the weight of the fish that exceeds 90% of the...
The weight of lobsters caught in the ocean follows a normal distribution with a mean of...
The weight of lobsters caught in the ocean follows a normal distribution with a mean of 1440 grams and a standard deviation of 2h grams. (a) Given the probability that a lobster caught at random has a weight of not more than 1530 grams is 0.9463. Calculate the value of h and correct the answer to 2 decimal places. (b) By using the value of h from (a), if 1250 lobsters have a weight between 1350 and 1500 grams, estimate...
The weight of a type of dog follows Normal distribution with mean of 44 pounds and...
The weight of a type of dog follows Normal distribution with mean of 44 pounds and standard deviation of 3 pounds. 1. What is the probability a dog of this type will weigh more than 100 pounds? (Show your work.)   2. What is the probability a dog of this type will weigh more than 10 pounds? (Show your work.)
The distribution of weights of a sample of 500 toddlers is symmetric and bell-shaped. According to...
The distribution of weights of a sample of 500 toddlers is symmetric and bell-shaped. According to the Empirical Rule, what percent of the weights will lie between plus or minus three sigmas (standard deviations) from the mean? Group of answer choices 68% 34% 99.7% 95% None of these If a sample of toddlers has an estimated mean weight of 52 pounds and a standard deviation of 4 pounds, then 95% of the toddlers have weights between which two values? If...
Suppose the scores on an IQ test approximately follow a normal distribution with mean 100 and...
Suppose the scores on an IQ test approximately follow a normal distribution with mean 100 and standard deviation 12. Use the 68-95-99.7 Rule to determine approximately what percentage of the population will score between 100 and 124.
1. If a set of data follows a normal curve distribution, with a mean of 180...
1. If a set of data follows a normal curve distribution, with a mean of 180 and a standard deviation of 20, then approximately 95% % of the data lies in a region centered round the mean between values of (3 points) 160 and 200 140 and 220 120 and 240   100 and 260 80 and 280   2. Calculate by hand the range, variance and standard deviation for this data. Round your answers to two decimal points. (12 points) 20,...
The weight of an organ in adult males has a​ bell-shaped distribution with a mean of...
The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 300 grams and a standard deviation of 45 grams. Use the empirical rule to determine the following. (a) About 99.7​% of organs will be between what​ weights? (b) What percentage of organs weighs between 210 grams and 390 ​grams? ​(c) What percentage of organs weighs less than 210 grams or more than 390 ​grams? ​(d) What percentage of organs weighs between 165 grams and...
The weight of a typical orange follows an approximately normal distribution with the mean 4.5oz and...
The weight of a typical orange follows an approximately normal distribution with the mean 4.5oz and and a standard deviation of 1/2oz. Jodie likes oranges better than apples. Her orange juice machine can only use oranges that fall within the middle 95% of weights. what orange weights can Jodie's machine handle?
1 The weight of cans of fruit is normally distributed with a mean of 1,000 grams...
1 The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 25 grams. What percent of the cans weigh 1075 grams or more? 1B. What percentage weighs between 925 and 1075 grams? 2. The weekly mean income of a group of executives is $1000 and the standard deviation of this group is $75. The distribution is normal. What percent of the executives have an income of $925 or less? 2B....