Question

Problem 5. The mean yearly rainfall in Sydney, Australia, is 136.9 mmand the standard deviation is...

Problem 5. The mean yearly rainfall in Sydney, Australia, is 136.9 mmand the standard deviation is 69.4mm. Assume rainfall is normally distributed.

(a)What is the random variable?

(b)Find the probability that the yearly rainfall is less than 100 mm.

(c)Find the probability that the yearly rainfall is more than 240 mm.

(d)Find the probability that the yearly rainfall is between 140 and 250 mm.

(e)If a year has a rainfall less than 100mm, does that mean it is an unusually dry year?  Why or why not?

(f)What rainfall amount are 90% of all yearly rainfalls more than?

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

Homework Answers

Answer #1

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
The mean yearly rainfall in Sydney, Australia, is 136.9 mm and the standard deviation is 69.4mm....
The mean yearly rainfall in Sydney, Australia, is 136.9 mm and the standard deviation is 69.4mm. Assume rainfall is normally distributed. (a) What is the random variable? (b) Find the probability that the yearly rainfall is less than 100 mm. (c) Find the probability that the yearly rainfall is more than 240 mm. (d) Find the probability that the yearly rainfall is between 140 and 250 mm. (e) If a year has a rainfall less than 100mm, does that mean...
The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is...
The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of," 2013). Assume rainfall is normally distributed. How many yearly mm of rainfall would there be in the top 15%? Round answer to 2 decimal places. Answer:
6.4.4 Annual rainfalls for Sydney, Australia are given in table #6.4.6. ("Annual maximums of," 2013). Can...
6.4.4 Annual rainfalls for Sydney, Australia are given in table #6.4.6. ("Annual maximums of," 2013). Can you assume rainfall is normally distributed? Table #6.4.6: Annual Rainfall in Sydney, Australia 146.8 383 90.9 178.1 267.5 95.5 156.5 180 90.9 139.7 200.2 171.7 187.2 184.9 70.1 58 84.1 55.6 133.1 271.8 135.9 71.9 99.4 110.6 47.5 97.8 122.7 58.4 154.4 173.7 118.8 88 84.6 171.5 254.3 185.9 137.2 138.9 96.2 85 45.2 74.7 264.9 113.8 133.4 68.1 156.4 6.5.2 A random variable...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). Assume the life of a dishwasher is normally distributed. State the random variable. Find the probability that a dishwasher will last more than 15 years. Find the probability that a dishwasher will last less than 6 years. Find the probability that a dishwasher will last between 8 and 10 years. If you found a dishwasher that lasted less than...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). Assume the life of a dishwasher is normally distributed. a.) State the random variable. b.) Find the probability that a dishwasher will last more than 15 years. c.) Find the probability that a dishwasher will last less than 6 years. d.) Find the probability that a dishwasher will last between 8 and 10 years. e.) If you found a...
A dishwasher has a mean life of 10 years with an estimated standard deviation of 1.05...
A dishwasher has a mean life of 10 years with an estimated standard deviation of 1.05 years ("Appliance life expectancy," 2013). The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made. State the random variable. Find the mean of the sample mean. Find the standard deviation of the sample mean. What is the shape of the sampling distribution of the sample mean? Why? Find the probability...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made. State the random variable. Find the mean of the sample mean. Find the standard deviation of the sample mean. What is the shape of the sampling distribution of the sample mean? Why? Find the probability...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made. State the random variable. Find the mean of the sample mean. Find the standard deviation of the sample mean. What is the shape of the sampling distribution of the sample mean? Why? Find the probability...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25...
A dishwasher has a mean life of 12 years with an estimated standard deviation of 1.25 years ("Appliance life expectancy," 2013). The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made. a.) State the random variable. b.) Find the mean of the sample mean. c.) Find the standard deviation of the sample mean. d.) What is the shape of the sampling distribution of the sample mean?...
​1) X is normally distributed with a mean of 60 and a standard deviation of 12....
​1) X is normally distributed with a mean of 60 and a standard deviation of 12. ​​a) Find the probability that X is less than 42 ​​b) Find the probability that X is more than 70. ​2) Weights of Yellow Labradors are normally distributed with a mean of 55 pounds and a standard ​​deviation of 6.2 pounds. What proportion of Yellow Labradors weigh between 50 and 60 pounds?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT