Statistics and Probability Answers

A new drug cures 9 of 200 patients suffering from a type of cancer, for which the historical cure rate is 2%. Perform a test to check on the significance of this result, at both 5% and 1% levels of significance. Based on your conclusion, comments on the efficacy of the treatment using this new drug. 

 Given the data 6, 9, 12, 15, 16, 19, 22. Construct a sampling distribution of the sample mean without replacement and repetition by selecting 3 samples at a time.

Which of the following statements are true? Give reasons for your answer. (10) 

(i) F-distribution is always used in goodness of fit. 

(ii) Measure of central tendency in a data set refers to the extent to which the 

observations are scattered.

Mary Ann,Hazel,and Analyn want to know what numbers can be assigned for the frequency of heads that will occur in tossing three coins.Can you help them?

Construct the probability distribution for the random variables describe each following situations. Draw the corresponding histogram for each probability distribution. Label it properly

1. Let T be a random variable giving the number of tails in three tosses of a coin. List the elements

of the sample space S for the three tosses of the coin. And assign a value to each sample point.

Valueof the Random Variable T

(Number of Tails)

Probability P(T)

Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.)

(a) odd or less than 5

A certain county health department has received 25 applications for an opening that exists for a public health nurse. Of these applicants 10 are over 30 and 15 are under 30. Seventeen hold bachelor’s degrees only, and eight have master’s degrees. Of those under 30, six have master’s degrees. If a selection from among these 25 applicants is made at random, what is the probability that a person over 30 or a person with a master’s degree will be selected?

Statistics and Probability
10. f(x) = 2w e-2x + 3(1-w)e-35 with w~U(0,1). Calculate: a. EX) b. VOX c.ProX > 1 

Statistics and Probability 10. f(x) = 2w e-2x + 3(1-we-35 with w-U(0,1). Calculate: a. EX) b. VOX ProX > 1

1.     Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer areαandβrespectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. Compute the probability that A wins if

a)    A answers the first question,

b)    B answers the first question.