Variables In the formula
N
what is the number of trials
What is the sum of probabilities of all possible outcomes in a probability distribution?
The sum of probabilities of all possible outcomes in a probability distribution must always equal 1.
EcoSmart is a company that produces light bulbs, and the probability of a bulb being defective is 0.05. What is the probability that out of 100 randomly selected bulbs, at most 3 will be defective?
**using binomial distribution
Probability of Sucesses= 0.05
Number of Trials (n)= 100
Number of Successes (x)= At most 3
probability of failure notation
What is P(q)?
If two events are mutually exclusive, what is the probability of co-occurring?
Mutually exclusive events cannot occur together, so the probability of both events occurring simultaneously is 0
In a survey, 80% of people prefer Starbucks over Dunkin. If 10 people were selected at random, what is the probability that exactly 7 of them would prefer Starbucks.
Probability of Success= 0.80
Number of trials= 10
X-Value= 7
What is the notation for success?
what is p?
In a binomial distribution, what are the two parameters that determine the shape of the distribution?
The binomial distribution is determined by the number of trials and the probability of success in each trial
Sai is a very good basketball player. He has a free throw success rate of 80%. If he attempts 10 free throws, what is the probability that he will make exactly 8 of them?
Success Rate= 0.80
Number of Trails= 10
Number of successes (x)= 8
Probability of success
What is P(p)
What is the expected value of a discrete probability distribution?
The expected value of a discrete probability distribution is the weighted average of all possible outcomes, where the weights are the probabilities of each outcome
In a hypothetical scenario, if the probability of success in each trial is 0.3 and the number of trials is 10, what is the probability of getting exactly 3 successes?
The probability of success is 0.3
Number of trials=10
Number of Successes (x)= 3
random variables are replaced with?
What is x ?