X is a binomial variable with $n = 6$ and $p = 0.6$ . Compute $P ( X \leq 2 )$ . Round your answer to five decimal places.
A) $P ( X \leq 2 ) = 0.5$
B) $P ( X \leq 2 ) = 0.01946$
C) $P ( X \leq 2 ) = 0.1792$
D) $P ( X \leq 2 ) = 0.04096$
E) $P ( X \leq 2 ) = 0.8208$

Question

X is a binomial variable with $n = 6$ and $p = 0.6$ . Compute $P ( X \leq 2 )$ . Round your answer to five decimal places.  
A) $P ( X \leq 2 ) = 0.5$
B) $P ( X \leq 2 ) = 0.01946$
C) $P ( X \leq 2 ) = 0.1792$
D) $P ( X \leq 2 ) = 0.04096$
E) $P ( X \leq 2 ) = 0.8208$

Quizplus · Accepted Answer

The probability $P(X \leq 2)$ in a binomial distribution with $n = 6$ and $p = 0.6$ can be calculated using the binomial probability formula for each of $X = 0, 1, 2$ and summing these probabilities. The correct calculation leads to $P(X \leq 2) = 0.1792$, making option C the correct answer.

X Is a Binomial Variable With n=6n = 6n=6 And p=0.6p = 0.6p=0.6

X Is a Binomial Variable With $n = 6$ And $p = 0.6$