In a large population, $12\%$ of the population is left handed. Samples of $7$ people are random

Question

In a large population, $12\%$ of the population is left handed. Samples of $7$ people are randomly chosen from the population. Calculate the probability that more than $2$ people in a sample are left handed. $3$ such samples of $7$ people are taken. Find the probability that Each of the $3$ samples has more than $2$ people who are left-handed. One of the $3$ samples has exactly $1$ person who is left-handed, while the remaining $2$ samples have more than $2$ people who are left handed. One of the $3$ samples has less than $3$ people who are left-handed, another has exactly $3$ people who are left-handed and the remaining sample has more than $3$ people who are left-handed. There are total of $3$ people who are left-handed from the $3$ samples.

Accepted Answer

(a) $0.0416$; (b)(i) $0.0000722$; (b)(ii) $0.00203$; (b)(iii) $0.00112$; (b)(iv) $0.230$

Discrete Random Variables (DRV) - Binomial Probabilities Using Technology

Discrete Random Variables (DRV) - Binomial Probabilities Using Technology

Video Solution:

Solution:

Solution locked