Tossing a pair of pieces We have a white piece, for which P(Heads)=0.4 and a black piece for which P(Heads)=0.6. Throws of identical or different coins are independent. For each of the following situations, determine if the random variable N can be approximated by a normal. If yes, enter the mean and variance of N. Otherwise, enter 0 in the two corresponding response boxes.
1. Let N be the number of heads in 100 tosses of the white piece.
2. Let N be the number of heads in 100 coin tosses. On each toss, one of the two coins is drawn (either choice is equally likely), and independent of everything else.
3. Let N be the number of heads in 50 tosses of the white coin followed by 50 tosses of the black coin (for a total of 100 tosses).
4. One of the two pieces is randomly selected: each piece has the same probability of being selected. We then flip the selected coin 100 times, independently, and let N be the number of Faces.
mean and variances ??? 1. mean = 40, variance = 24
2. average = 50
3. mean=50, variance=24
4. mean = 0, variance = 0
the variance for question 2 is missing… Please help!! deviation for q2? 2. mean 50, variance 25