A clinical test on humans of a new drug is normally done in three phases. Please

Question

A clinical test on humans of a new drug is normally done in three phases. Please 1 is conducted with a relatively small number of healthy volunteers. For example, a phase 1 test of bexarotene involved only 10 subjects. Assume that we want to treat 10 healthy humans with this new drug and we have 12 suitable volunteers available. a) If the subjects are selected and treated in sequence, so that the trial is discontinued if anyone displays adverse effects, how many different sequential arrangements possible if 10 people are selected from the 12 that are variable? If 10 subjects are randomly selected from the 12 that are available and treated the same time, what is the probability of selecting the 10 are oldest subjects? What is the probability of winning a game by selecting 4 digits 0 through 9 with repetition not allowed and getting the game four digits in the exact same order as they are later drawn? The game returns $2,520 for a winning $1 ticket. What should be the return if the company were to run this game for no profit When four digits between 0 and 9 inclusive are randomly selected with replacement for a lottery ticket, what is the probability that at least one of the digits is 0? Determine whether events A and B are independent or dependent and give a brief explanation. Then find P(A and B), the probability that events A and B both occur. A: When an M&M; is randomly selected from the 100 M&Ms; listed In Data Set 20, it is one of the 8 yellow M&Ms; B: When a second different M&M; is randomly selected from those listed in Data Set 20, It is also a yellow M&M.;

Explanation / Answer

Solution :-

6. Events A and B are dependent event, as there is no replacement of the M&M in the second event.

P(A) = 8 / 100 = 0.08

P(B) = 7 / 100 = 0.07

P (A and B) = P(A) * P(B) = 0.08 * 0.07 = 0.0056

5. There are 10 digits. Each digit has a probability of 1/10 of being chosen.

P(at least one digit of 0) = 1 - P(none of the 4 choices is zero)

= 1 - (9/10)4 = 0.3439

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