Question

Assume that that​ 10% of adults are​ left-handed. If 200 adults are randomly​ selected, find the probability that 16 or fewer of them are​ left-handed. Does the result of 16 ​left-handed adults appear to be unusually​ low?The probability that 16 or fewer are​ left-handed is _____.​(Round to four decimal places as​ needed.)

Answer 1

Answer:

0.2078, not unusual

Step-by-step explanation:

Given that we assume that​ 10% of adults are​ left-handed.

Let X be the no of left handed persons in the sample of 200 adults

X is binomial because X has two outcomes and each trial is independent of the other

n =200 and p = 0.10

The probability that 16 or fewer are​ left-handed is

=$P(X\leq 16)\\= F(16)\\=\Sigma _0^{16} 200Cx (0.10)^x (0.9)^{200-x}$

=0.2075

Since nearly 1/5 are having chance to have left hand this is not unusual.