43 (Class Exercise) For a single loss of a coin, let Y=1 for a head and y = 0 for a tail

a) Assuming the coin is balanced, construct the probability distribution for Y. and calcu late its mean

b) The coin is flipped ten times. yielding six heads and four tails. Construct the sample relative frequency disinbution

c) Each student in the class should flip a coin ten times and calculate the proportion of heads in the sample. Summarize the empirical sampling distribution by constructing a his- logram or stem and leaf plot of the proportions obtained Describe the shape and spread of the sampling disu ibution compared to the distributions in

(a) and (b). Compute the mean and standard deviation of the sample proportion values.

d) If we performed the experiment in

(c) an indefinately large number of times, what val- ues would we get for the (i) mean and (ii) standard deviation of the sample proportion values?