Statistics and Probability Answers

What are the chances of seeing 11 or more heads in a trial of 15 unbiased coin throws? Would you reject the hypothesis that the coin is unbiased if you see 11 heads in 15 throws

There are 4 red, 8 yellow, and 6 blue socks in a drawer. Once a sock is selected, it isn't replaced. What is the probability of reaching in the drawer without looking & choosing 2 blue socks?

Records in a beanie babies factory show that for every 100 newly produced toys, 20 are defective. If the quality control takes a sample of 10 newly manufactured stuffed toys, what is the chance that she will find 5 or more defective?

A commuter can take any one of two routes on his way home from work. On the ¯rst route,
there are four railroad crossings. The probability that he will be stopped by a train at any
particular one of the crossings is .1, and trains operate independently at the four crossings.
The other route is longer, but there are only two crossing, independent of one another, with
the same stoppage probability for each as on the ¯rst route. On a particular day, the
commuter has a meeting scheduled at home for a certain time. Whichever route he takes, he
calculates that he will be late if he is stopped by trains at at least half the crossings
encountered.
(a) Which route should he take to minimize the probability of being late to the meeting?
(b) If he tosses a fair coin to decide on a route and he is late, what is the probability that
he took the four-crossing route?

5. The ages of husbands and wives in a community were found to have a correlation coefficient equal to +0.8; the average of husbands’ ages was 25 years and that of wives’ ages 22 years; their standard deviations were respectively 4 and 5 years. Find the two lines of regression and from the lines ,measure
a. The expected age of husband when wife’s age is 12 years
b. The expected age of wife when husband’s age is 33 years

data has been collected from a representative sample of a well defined population to answer the q "how much money does the average senior male at normal high school have in his pockets at the end of the school day on a Friday?" Which of these is the next step? why? A-determine the margin of error B- summarize the data with a sample statistic C- use the collected data to make inferences about the population D- summarize the data with a sample parameter.... PLEASE HELP ME!

A file clerk is assigned the task of selecting a random sample of 26 company accounts (from a total of 5,000) to be audited. The clerk is considering two sampling methods: Method A- Organize the 5,000 company accounts in alphabetical order (according to the first letter of the clients last name). Then randomly select one account card for each of the 26 letters of the alphabet. Method B- assign each company account a 4 digit number from 0001 to 5000. using a computer random number generator, choose 26 4-digit numbers (from 0001 to 5000) and match the numbers with the corresponding company account. Which of the two methods would you recommend to the file clerk? which sampling method could possible yield a biased sample? why?

a university as 2000 male and 500 female faculty members. a sample of 50 female and 200 male faculty members gives each member of the faculty member 1 chance in 10 to be chose. this sample design gives every unit in the population the same chance to be chosen for the sample. is it a simple random sample? explain your answer.

Out of 2 million hay fever sufferers in Canada, 20% are allergic to tree pollen. If 11 hay fever victims are picked at random, what is the probability that t have tree pollen allergy?

70% of married couples paid for their honeymoon themselves. You randomly select 20 married couples and ask each if they paid for their honeymoon themselves. Find the probability thaqt the number of cuples who say they paid for their honeymoon themselves is a)exactly one b) more than one, and c) at most one.