Calculating Binomial Probabilities
Calculating binomial probabilities is a fundamental concept in probability theory, essential for understanding the likelihood of a specific number of successes in a fixed number of trials. This method is particularly useful in scenarios with two possible outcomes, such as success or failure, heads or tails, etc. By utilizing the binomial probability formula, which considers the number of trials, probability of success, and desired number of successes, one can precisely quantify the chances of achieving a given outcome. This mathematical tool finds wide application in fields like statistics, finance, and science, providing a basis for decision-making and risk analysis.
Questions
- A coin is tossed 16 times. What is the probability of obtaining exactly 14 heads?
- Three manufacturing plants, say I, II and III, produce 20, 30 and 50 percent of a company’s output respectively. What is the probability that a randomly-chosen item from the company’s warehouse is defective?
- The probability that a DVD player produced by VCA Television is defective is estimated to be 0.07. A sample of ten players is selected at random. What is the probability that the sample contains no defective units?
- What is a binomial distribution?
- What is the difference between a normal and binomial distribution?
- Why do we have to use "combinations of n things taken x at a time" when we calculate binomial probabilities?
- There are n identical cards of type A, n of type B, n of type C, and n of type D. There are 4 persons that each have to receive n cards. In how many ways can we distribute the cards ?
- For binomial distribution X, with n = 7 and p = 0.6, what is P(X>3)?
- Calculate the probability of flipping a coin 20 times and getting 4 heads. Round your answer to the nearest ten thousandth?
- He probability of rain on any given day is 2/3. What is the probability of at most one day of rain during the next 3 days?
- Let #X# be a binomial random variable with #p=0.4# and #n=10#. What is # P(X = 5) #?
- When #n=20# and #p=.2#, what is #P(X <= 12)#?
- What is the probability of #X= 6# successes, using the binomial formula?
- What is the variance of a binomial distribution for which n = 75 and p = 0.20?
- What is the difference between binomial distribution and Poisson distribution?
- In a binomial distribution, #n=8# and #p = .3#. What is the probability #x<=2#?
- How can i find the probability of pulling a coin out of a jar? (details inside)
- Given a normal deck of # 52 # cards. If I draw five cards from the deck, what is the probability that all five cards are evenly divisible by # 3? # (assume jacks, queens, kings, and aces to not be divisible by # 3#
- A die is rolled 8 times. What is the probability of getting exactly three 6's?
- There are 42 questions , there are 5 answers to each question, only 1 is correct . To pick 1 answer at random what is the chance of getting 30 questions right?