a) In a randomized controlled experiment, it costs researchers t dollars to study each subject in...

Transcribed Image Text:

a) In a randomized controlled experiment, it costs researchers t dollars to study each subject in the treatment group and c dollars to study each subject in the control group. Suppose each of n subjects is randomized into one of the two groups according to whether a p-coin lands heads (treatment) or tails (control). Find the expected total cost to study all n subjects. b) I toss n p-coins. Those that land tails I toss again, and then I stop. Find the expected total number of heads. c) I have one 0.25-coin, one fair coin, and three 0.75-coins. I pick one of the five coins at random and toss it till I get 10 heads. Find the numerical value of the expected number of tosses. a) In a randomized controlled experiment, it costs researchers t dollars to study each subject in the treatment group and c dollars to study each subject in the control group. Suppose each of n subjects is randomized into one of the two groups according to whether a p-coin lands heads (treatment) or tails (control). Find the expected total cost to study all n subjects. b) I toss n p-coins. Those that land tails I toss again, and then I stop. Find the expected total number of heads. c) I have one 0.25-coin, one fair coin, and three 0.75-coins. I pick one of the five coins at random and toss it till I get 10 heads. Find the numerical value of the expected number of tosses.

Answer rating: 100% (QA)

a To find the expected total cost to study all subjects in the randomized controlled experiment we need to calculate the expected cost for each group and then add them together Lets assume there are n ... View the full answer