We randomly choose, independently, $n$ machines from the company, where $n$ denotes a non-zero natural integer. We assimilate this choice to a sampling with replacement, and we denote by $X$ the random variable that associates to each batch of $n$ machines the number of defective machines in this batch. We admit that $X$ follows the binomial distribution with parameters $n$ and $p = 0.082$. We consider an integer $n$ for which the probability that all machines in a batch of size $n$ function correctly is greater than 0.4. The largest possible value for $n$ is equal to: a. 5 b. 6 c. 10 d. 11
We randomly choose, independently, $n$ machines from the company, where $n$ denotes a non-zero natural integer. We assimilate this choice to a sampling with replacement, and we denote by $X$ the random variable that associates to each batch of $n$ machines the number of defective machines in this batch. We admit that $X$ follows the binomial distribution with parameters $n$ and $p = 0.082$.
We consider an integer $n$ for which the probability that all machines in a batch of size $n$ function correctly is greater than 0.4.
The largest possible value for $n$ is equal to:\\
a. 5\\
b. 6\\
c. 10\\
d. 11