Understanding Binomial Distribution

The video tutorial explains how to calculate the probability of three out of five patients surviving a disease, given a 60% mortality rate. It introduces the concept of binomial distribution, detailing its properties and how it applies to the problem. The tutorial walks through the calculation process, including factorials and probability formulas, to arrive at a 23.04% chance of survival for three patients. The explanation is structured to help viewers understand the mathematical reasoning behind the solution.

What percentage of patients with the specific disease die according to the hospital records?

• 40%

• 60%

• 70%

• 50%

Which of the following is NOT a condition for a binomial distribution?

• The probability of success is constant for each trial.

• The trials are independent.

• Each trial has more than two outcomes.

• The experiment consists of n independent trials.

In the context of the problem, what does the variable 'P' represent?

• Number of failures

• Number of trials

• Probability of death

• Probability of survival

How many patients are being considered in the problem?

• 3

• 5

• 6

• 4

What is the probability of survival for a patient with the disease?

• 0.7

• 0.4

• 0.5

• 0.6

What is the value of 'n choose r' in this problem?

• 5 choose 4

• 5 choose 3

• 5 choose 5

• 5 choose 2

What is the factorial of 5?

• 60

• 150

• 100

• 120

What is the simplified value of 5 times 4 divided by 2?

• 8

• 14

• 10

• 12

What is the final probability that three out of five patients will survive?

• 23.04%

• 22.04%

• 21.04%

• 20.04%

What is the sum of the exponents in the binomial expression?

• 3

• 4

• 5

• 6