Question

A binomial event has n = 35 trials. The probability of success for each trial is 0.45. Let x be the number of successes of the event during the 35 trials. What are μx and σx? (4 points) a)15.75 and 3.1996 b)15.75 and 2.9432 c)19.25 and 2.9432 d)19.25 and 3.1996 e)30 and 2.9432

Answer 1

b)15.75 and 2.9432

Explanation:

The computation of the mean and the standard deviation is shown below:

The mean of a binomial distribution is:

`\mu` = np

And the standard deviation is

`\sigma` = √(npq)

where,

n = 35,

p = 0.45,

and q = 1 - 045 = 0.55

Now mean is

= 35 × 0.45

= 15.75

And, the standard deviation is

= √(35 × 0.45 × 0.55)

= 2.9432

Hence, the correct option is B.