Stats Help for College-level Students

statistics

A fair die is rolled until win or loss occurs: For k=1 to 5: if a 6 occurs on the kth roll you win N dollars and game ends; if a number5: if a 6 occurs on the kth roll you win N dollars and the game ends; if a number<5 occurs you lose $10 and the gam ...continues

Probability

A bowl contains R red and W white chips. Suppose N chips are drawn without replacement from the bowl. (a) what is the expected number of red chips among the N drawn? The expected number of white chips? (b) Justify your answers from part(a)

Independent Trials

Suppose a sequence of independent trials is performed where each trial results in either success or failure. Suppose X=the number of failures before the first success, with p=probability of success on any one trial. (a) Find the expected value of X. Be sure to show in detail how you got your answer. (b) Carefully interpret ...continues

Determining the probability from the given situation.

A certain company relies heavily on phone orders. Suppose past records show that R% of all incoming phone calls to this company are orders from customers. At least how big must R be for you to be at least 90% sure that the first phone order of the day will occur on or before the tenth incoming call of the day?

Normal Distribution

Scores on a college admissions exam are normally distributed with mean score 642 and standard deviation 76. The college wants to set the passing score so that only the best 10% of all applicants pass. what is the passing score?

Determining the probability using mean and standard deviation.

The weights of adult Americans are normal with a mean of 164 lbs. and a standard deviation of 24 lbs. Two random samples are taken with 10 adult Americans in each sample. (a) What is the probability that both samples have a mean greater than 180 lbs.? (b) What is the probability that, when the two samples are put together, ...continues

Statistics

a. What is the implied population? b. What is the sample? 2. Draw a bar chart/graph for the following data 3. Find the mean, median, mode and standard deviation of the data from problem 2. 4. Find the probabilities for the random variable x 5. Find the mean, mode and standard deviation for the data in proble ...continues

Determining the probability from the given Colgate story.

Colgate-Palmolive Makes a "Total" Effort In the mid-1990s, Colgate-Palmolive had developed a new toothpaste for the U.S. market, Colgate Total, with an antibacterial ingredient that was already being successfully sold overseas. However, the word antibacterial was not allowed for such products by the Food and Drug Administrat ...continues

Determining the probability from a given tire situation.

You buy 4 new tires. Each tire has a 0.9 probability of having a life of at least 60,000 miles. a) Find the probability you WILL NOT have to buy a new tire BEFORE you drive 60,000 miles. b) Find the probability you WILL have to replace all 4 tires BEFORE you drive 60,000 miles. c) Find the probability you will have ...continues

statistics probabilty

A new component for an airplane is being manufactured. Each has a 70% probability of working properly. A sample of 8 components is sampled. Find probability that: A) all work properly. B) 6 work properly. C) at most 3 work properly. D) at least 1 works properly.