Answer:
The probability that 10 or more are extroverts is
Step-by-step explanation:
We are given that approximately 80% of all marketing personnel are extroverts, whereas about 55% of all computer programmers are introverts.
Also, a sample of 15 marketing personnel is chosen.
The above situation can be represented through Binomial distribution;
where, n = number of trials (samples) taken = 15 marketing personnel
r = number of success = 10 or more
p = probability of success which in our question is % of marketing
personnel that are extroverts, i.e; 80%
<em>LET X = Number of marketing personnel that are extroverts</em>
So, it means X ~
Now, Probability that 10 or more are extroverts is given by = P(X 10)
P(X 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)
=
=
= 0.1032 + 0.1876 + 0.2501 + 0.2309 + 0.1319 + 0.0352 = 0.9389
So, the probability that 10 or more are extroverts is 0.9389.