Question

11. The number of major earthquakes in a year forms an approximately normally distributed with a...

11. The number of major earthquakes in a year forms an approximately normally distributed with a mean of 20.8 and a standard deviation of 4.5.

a) Find the probability that in a given year there will be less than 15 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

c) Find the probability that in a given year there will be more than 26 earthquakes.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a) P( X<15) = 0.098

b) P(18<X<23) = 0.42

c) P(X>26) = 0.124

i.e The probability that there will be earthquakes between 18 and 23 in give year is more

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
10. The mean number of earthquakes greater than 5 in Tokyo in a year is 2.80....
10. The mean number of earthquakes greater than 5 in Tokyo in a year is 2.80. (a) Find the mean and standard deviation of the number of earthquakes greater than 5 in Tokyo. (2 mark) (b) Find the probability that the number of earthquakes in a year will be at most 2? (c) Find the probability that no earthquakes will occur in Tokyo during a two-year period.
The annual ground coffee expenditures for households are approximately normally distributed with a mean of $...
The annual ground coffee expenditures for households are approximately normally distributed with a mean of $ 41.03 and a standard deviation of $ 10.00 . a. Find the probability that a household spent less than ​$30.00. b. Find the probability that a household spent more than ​$55.00. c. What proportion of the households spent between ​$25.00 and ​$35​.00? d. 90​% of the households spent less than what​ amount?
The annual coffee expenditures for households are approximately normally distributed with a mean of $ 48.57...
The annual coffee expenditures for households are approximately normally distributed with a mean of $ 48.57 and a standard deviation of $ 10.00 . a. Find the probability that a household spent less than ​$25.00. b. Find the probability that a household spent more than ​$55.00. c. What proportion of the households spent between ​$30.00 and ​$40​.00? d. 95​% of the households spent less than what​ amount? a. The probability that a household spent less than ​$25.00 is?
2.1       The annual salaries of employees in a large company are approximately normally             distributed with...
2.1       The annual salaries of employees in a large company are approximately normally             distributed with a mean of R50 000 and a standard deviation of R 20 000.             Calculate the percentage of employees who earn:             2.1.1    less than R40 000?                                                                                                                  2.1.2    between R45 000 and R65 000?                                                                                            2.1.3    more than R70,000?   2.2       The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a...
A manufacturer knows that their items have a normally distributed length, with a mean of 11...
A manufacturer knows that their items have a normally distributed length, with a mean of 11 inches, and standard deviation of 2.2 inches. If 23 items are chosen at random, what is the probability that their mean length is less than 11 inches?
11. Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with...
11. Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=286 days and standard deviation sigma equals σ=29 days. Complete parts​ (a) through​ (f) below. I cannot figure out part (f), please help. ​(f) What is the probability a random sample of size 18 will have a mean gestation period within 11 days of the​ mean? The probability that a random sample of size 18 will have a mean gestation period within 11...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard...
Suppose the heights of 18-year-old men are approximately normally distributed, with mean 71 inches and standard deviation 4 inches. If a random sample of twenty-eight 18-year-old men is selected, what is the probability that the mean height x is between 70 and 72 inches?
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.51 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected. a. What is the probability that the sample mean is less than 2.49 inches? P(X < 2.49)=.0136 b. What is the probability that the sample mean is between 2.50 and 2.52 ?inches? P(2.50 < X < 2.52) d. The probability is 57 % that the sample...
1. A population is normally distributed with mean 19.1 and standard deviation 4.4. Find the probability...
1. A population is normally distributed with mean 19.1 and standard deviation 4.4. Find the probability that a sample of 9 values taken from this population will have a mean less than 22. *Note: all z-scores must be rounded to the nearest hundredth. 2. A particular fruit's weights are normally distributed, with a mean of 377 grams and a standard deviation of 11 grams. If you pick 2 fruit at random, what is the probability that their mean weight will...
1. The weights of 9 year old male children are normally distributed population with a mean...
1. The weights of 9 year old male children are normally distributed population with a mean of 73 pounds and a standard deviation of 12 pounds. Determine the probability that a random sample of 21 such children has an average less than 72 pounds. Round to four decimal places. 2. A normally distributed population has a mean of 80 and a standard deviation of 17. Determine the probability that a random sample of size 26 has an average greater than...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT