Question

The length of western rattlesnake are normally distributed with a mean of 60 inches and standard...

The length of western rattlesnake are normally distributed with a mean of 60 inches and standard deviation of 4 inches. What is the probability that the rattlesnake length will be equal to or less than 54.2 inches

Homework Answers

Answer #1

Solution:

Given, the Normal distribution with,

   = 60  

= 4  

a) Find

=

=   

=

=

= ...( use z table)

( Z is the standard normal variate.Use z table to find this probability..In z table , all entries are the area to the left of z i.e. for less than.)

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
The length of country and western songs is normally distributed and has a mean of 200seconds...
The length of country and western songs is normally distributed and has a mean of 200seconds and a standard deviation of 25 seconds. Find the probability that a randomselection of 9 songs will have mean length of 188.58 seconds or less. Assume thedistribution of the lengths of the songs is normal.
A manufacturer knows that their items have a normally distributed length, with a mean of 9.2...
A manufacturer knows that their items have a normally distributed length, with a mean of 9.2 inches, and standard deviation of 2 inches. If 11 items are chosen at random, what is the probability that their mean length is less than 9.9 inches? round to 4 decimal places. & A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.2 years, and standard deviation of 2.4 years. If you randomly purchase 11 items, what is...
A manufacturer knows that their items have a normally distributed length, with a mean of 6.8...
A manufacturer knows that their items have a normally distributed length, with a mean of 6.8 inches, and standard deviation of 0.7 inches. If 4 items are chosen at random, what is the probability that their mean length is less than 7.2 inches? (Give answer to 4 decimal places.)
Assuming that the heights of college women are normally distributed with mean 60 inches and standard...
Assuming that the heights of college women are normally distributed with mean 60 inches and standard deviation 2.0 inches, answer the following questions. (Hint: Use the figure below with mean μ and standard deviation σ.) (a) What percentage of women are taller than 60 inches? % (b) What percentage of women are shorter than 60 inches? % (c) What percentage of women are between 58.0 inches and 62.0 inches? % (d) What percentage of women are between 56.0 and 64.0...
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9...
1.)A manufacturer knows that their items have a normally distributed length, with a mean of 12.9 inches, and standard deviation of 1.1 inches. If one item is chosen at random, what is the probability that it is less than 14.9 inches long? 2.)A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5 years, and standard deviation of 1.1 years. If you randomly purchase one item, what is the probability it will last longer than...
A manufacturer knows that their items have a normally distributed length, with a mean of 16.5...
A manufacturer knows that their items have a normally distributed length, with a mean of 16.5 inches, and standard deviation of 3.1 inches. If 9 items are chosen at random, what is the probability that their mean length is less than 18.4 inches? (Give answer to 4 decimal places.)
A manufacturer knows that their items have a normally distributed length, with a mean of 16.7...
A manufacturer knows that their items have a normally distributed length, with a mean of 16.7 inches, and standard deviation of 0.8 inches. If 19 items are chosen at random, what is the probability that their mean length is less than 16.8 inches? Round your answer to 4 decimal places.
Heights for group of people are normally distributed with mean = 60 inches and standard deviation...
Heights for group of people are normally distributed with mean = 60 inches and standard deviation = 2.5 inches. Find the proportion, P, of people in the group whose heights fall into the following ranges. (Round your answers to four decimal places.) (a) Between 59 inches and 60 inches. P =___ (b) Between 54 inches and 66 inches. P =___ (c) Less than 66 inches. P =____ (d) Greater than 54 inches. P =_____ (e) Either less than 54 inches...
Men heights are assumed to be normally distributed with mean 70 inches and standard deviation 4...
Men heights are assumed to be normally distributed with mean 70 inches and standard deviation 4 inches; what is the probability that 4 randomly selected men have an average height less than 72 inches?
A manufacturer knows that their items have a normally distributed length, with a mean of 12.2...
A manufacturer knows that their items have a normally distributed length, with a mean of 12.2 inches, and standard deviation of 3.7 inches. If 7 items are chosen at random, what is the probability that their mean length is less than 13.5 inches?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT