It is known that 69% of all the ZeroCal hamburger patties produced by your factory actually contain more than 1,000 calories. Compute the probability distribution for $n = 50$ Bernoulli trials. What is the most likely value for the number of burgers in a sample of 50 that contain more than 1,000 calories
A)65
B) 34
C) 35
D) 17
E) 36

Question

It is known that 69% of all the ZeroCal hamburger patties produced by your factory actually contain more than 1,000 calories. Compute the probability distribution for $n = 50$ Bernoulli trials. What is the most likely value for the number of burgers in a sample of 50 that contain more than 1,000 calories   
A)65
B) 34
C) 35
D) 17
E) 36

Quizplus · Accepted Answer

The most likely value for a binomial distribution is the mode, which is given by $\lfloor (n+1)p \rfloor$. Here, $n = 50$ and $p = 0.69$, so $\lfloor (50+1) \times 0.69 \rfloor = \lfloor 35.19 \rfloor = 35$.

It Is Known That 69% of All the ZeroCal Hamburger n=50n = 50n=50

It Is Known That 69% of All the ZeroCal Hamburger $n = 50$