Quiz 2 (10 minutes, 3 points):

Write code to

a) Simulate/generate the number of heads in an experiment where 100 fair
coins are tossed 1000 times. Assign the 1000 numbers to a variable called x.
Hint: this is just one line of code.

b) Plot the histogram of x on a density scale. Hint: one line of code; use
the default number of breaks.

c) Overlay on the histogram, a plot of the binomial distribution with
n=100, pi=0.5, for x values ranging from 0 to 100. Hint: use lines().


Soln:
# a)
x = rbinom(1000,100,0.5)
# b)
hist(x,freq=F)
# c)
lines(dbinom(0:100, 100, 0.5))

Note the agreement between the distrbution (according to dbinom())
and the histogram of the sample taken from it (rbinom(1000,100,0.5).
The slight relative shift is because of the way R places the
histogram bins.