Question

for a positively skewed binomial Distribution with n=10, which of the following values might be the value of mean?
A 5
B 3
C 9
D 7​

Answer 1

We recall the concept of positively skewed binomial distribution

Positively skewed binomial distribution:

If $p < 0.5$, the distribution will be positively skewed.

Given:

$n=10$

$p < 0.5$

Mean$=np < 10*0.5$

Mean$< 5$

Thus required mean is $3$

Answer 2

Answer:

The correct answer will be (C) 3

Step-by-step explanation:

Recalling the concept of Binomial Distribution.

Whenever

p = 0.5

The binomial distribution will be symmetrical.

p < 0.5

The binomial distribution will be right-skewed or positive skewed.

p > 0.5

The binomial distribution will be left-skewed or negatively skewed.

For the distribution with n = 10 to be positively skewed

$p < 0.5$

So mean will be -

$Mean = np = 10\times p < 10 \times 0.5\\\\Mean < 5$

So, we got the Mean will be less than 5. The only option which is less than 5 is (C) 3.