A type of new car is offered for sale with 4 option packages. A customer can buy any number of these, from none to all 4. A manager proposes the null hypothesis that customers pick packages at random,...

A type of new car is offered for sale with 4 option packages. A customer can buy any number of these, from none to all 4. A manager proposes the null hypothesis that customers pick packages at random, implying the number of packages bought by a customer should be binomial with
. This table shows the number of packages chosen by 400 customers. Find the

(a) Binomial parameter
 needed to compute the expected counts.

(b) Estimated probability that a customer picks one option.

(c) Degrees of freedom for
.

(d)
.

(e)
-value for testing
.