4. Privacy is a concern for many users of the Internet. One survey showed that 57% of Internet users are somewhat concerned about the confidentiality of their E-mail.

(a) Show that the normal distribution should NOT be used to approximate the binomial distribution in this situation.

(b) Based on this information, what is the probability that for a random sample of 10 Internet users: that no more than 8 are concerned about the privacy of their E-mail. [5 marks]

(c) If the survey showed that 60% of the Internet users are concerned about E-mail privacy then what is the probability that 5 or less are concerned about the privacy of their E-mail in a random selection of 10 Internet users? [4 marks]