Study the binomial distribution table. Notice that theprobability of success on a single trial p ranges from0.01 to 0.95. Some binomial distribution tables stop at 0.50because of the symmetry in the table. Let's look for that symmetry.Consider the section of the table for which n = 5. Look atthe numbers in the columns headed by p = 0.30 andp = 0.70. Do you detect any similarities? Consider thefollowing probabilities for a binomial experiment with fivetrials.
(a) Compare P(3 successes), where p = 0.30,with P(2 successes), where p = 0.70.
P(3 successes), where p = 0.30, issmaller.They are thesame. P(3 successes), wherep = 0.30, is larger.
(b) Compare P(3 or more successes), where p =0.30, with P(2 or fewer successes), where p =0.70.
P(3 or more successes), where p = 0.30, issmaller.They are thesame. P(3 or more successes),where p = 0.30, is larger.
(c) Find the value of P(4 successes), where p =0.30. (Round your answer to three decimal places.)
P(4 successes) =
For what value of r is P(r successes)the same using p = 0.70?
r =
(d) What column is symmetrical with the one headed by p =0.20?
the column headed by p = 0.85the column headed byp = 0.80 the column headed byp = 0.40the column headed by p = 0.50the columnheaded by p = 0.70
