1) When sending data over the internet there is a certain probability that a message will be corrupted. One way to improve the reliability of getting messages through is to use a Hamming Code. This involves sending extra data that can be used to check the main message. For example a 7 bit Hamming Code contains 4 bits of message data and 3 check bits. If only one of the bits is in error at the receiving end then mathematical techniques can be used to determine which one it is and apply a correction. Assume that you have a network connection for which the probability that an individual bit will get through without error is 0.66. What is the increase in the probability that a 4 bit message will get through if a 7 bit Hamming code is used instead of just sending the 4 bits? (i.e what is P(7 bits with 0 or 1 error) - P(4 bits with no error)?

2) Q Computers has invented quantum computers. Each computer contains an exotic sub-atomic particle. Unfortunately this particle decays in the same manner as all radioactive particles. Therefore an average quantum computer only lasts for 22 months. The University has purchased one of these computers and Professor Squiggle wants to use it for 7 months. When he tries to book it he finds that it is already booked out for the first 8 months. So he books it for the next 7 months. What is the probability that the computer will fail during the time that professor Squiggle is using it (not before and not after)?

Solution Summary

This solution has step-by-step calculations with explanations to the statistics problems mentioned. All formulas and workings shown.

An infestation of a certain species of caterpillar called the spruce budworm can cause extensive damage to the timberlands of the northern United States. It is known that an outbreak of this type of infestation occurs, on the average, every 30 years.
Assuming that this phenomenon obeys an exponential probability law, what is

Jessica must finish two courses (much like myself), statisticsand economics, in order to complete the requirements for a BA degree. All along she has maintained an 80% average. She has calculated probabilities of scoring in the remaining two courses as follows:
Probability of scoring 80 in Statistics= 0.80
Probability of sc

A color candy was chosen randomly out of a bag. Below are the results:
Color Probability
Blue 0.30
Red 0.10
Green 0.15
Yellow 0.20
Orange ???
a. What is the probability of choosing a yellow candy?
b. What is the probability that the candy is blue, red, or green?
c. What is the probabil

Flip a coin 25 times and keep track of the results. What is the experimental probability of landing on tails? What is the theoretical probability of landing on heads or tails?
Answer the following problem showing your work and explaining (or analyzing) your results.

Thank you for your help on the other questions. Your work was easily understood.
Here are two questions that I need help on.
1) LaDonna asks a question in class 4 days out of 5 and Jason asks a question in class 1 day out of 5. What is the probability that one of them will ask a question in class on any given day? (Coul

Please explain how to solve. I have attempted to answer, please let me know if I'm right or wrong. Thank you!
a random sample of n=9 scores is selected from a normal distribution with u= 80 and o=12. what is the probability that the sample mean will be between 76 and 84?
* 0.9974
*0.3830
* 0.2586
* 0.6426 ( is this correc

1. Determine if this is an example of probability or statistics:
The average home price in one particular U.S. city is $214,000.
2. Determine if this is an example of a variable or a parameter:
79.6% of Americans own at least one vehicle.

The diameter of small Nerf balls manufactured at a factory in china is expected to be approximately normally distributed with a mean of 5.2 inches and a standard deviation of 0.08 inches. suppose a random sample of 20 balls are selected, what percentage of sample means will be less than 5.15 inches?

I need you help with the following:
This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.

Question: Zimmerman's Bank is the only bank in the small town of St. Thomas. On a typical Friday, an average of 10 customers per hour arrive at the bank to the transact business. There is one teller at the bank, and the average time required to transact business is 4 minutes. It is assumed that service times may be described by