For a random distribution, P(X) = nCx(6, x) 0.75^x 0.25^{6 - x}. What is P(2)?

For a probability distribution, P(0) = 0.1, P(1) = 0.15, P(2) = 0.2, P(3) = 0.3, P(4) = 0.2 and P(5) = 0.1. What is E(X)?

For a probability distribution, P(0) = 0.1, P(1) = 0.15, P(2) = 0.2, P(3) = 0.3, P(4) = 0.2 and P(5) = 0.1. What is Var(X), rounded to 2 decimal places?

What is k for the probability distribution P(x) = (x³ + 1)/k for x = 0, 1, 2, 3, 4?

For a random variable X following Poisson distribution, Lambda = 7. What is P(X > 5)?

For a random variable X following Poisson distribution, Lambda = 10. What is the probability of X is at most 2?

For a random variable X following Poisson distribution, Lambda = 4. What is P(X at least 2)?

For a random variable X following Binomial distribution, n = 12, p = 0.8. What is P(X = 9)?

For a random variable X following Binomial distribution, n = 10, p = 0.3. What is P(x < 4)?

For a random variable X following Binomial distribution, n = 9, p = 0.7. What is P(x >= 6)?

On average, 2 accidents occur every week at exit 123. What is the probability of more than 10 accidents in a 4-week period?

3 bank robberies occur every month in a town in Brazil, what is the probability of less than 40 robberies in a year?

2% of the Samsung phones are found with defective batteries. Of 10 phones tested, what is the probability that at most 1 found with defective batteries?

Per the last census, 15% of the working women have 2 jobs. If 20 women in a community are chosen randomly, what is the probability that exactly 4 of them work 2 jobs?

For a random variable X following Poisson distribution, Lambda = 3.1. What is P(x >= 2)?

For a random variable X following Binomial distribution, n = 5, p = 0.6. What is P(x <= 3)?

Sarah makes 3 spelling errors, on average, every 10 words, randomly and independently. In a 50-word extract, what is the probability of more than 20 spelling errors?

Snowfall occurs randomly and independently in a Minnesota city during winter. On average, it snows twice a week. What is the probability of 5 snowfalls in 2 weeks?

Traffic flow is traditionally modelled as a Poisson distribution. An engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. What is the probability of no cars through the intersection within 30 seconds?

The sheriff’s office receives on average 9 calls every night. If a night is chosen at random what is the probability of receiving less than 3 calls?

Number of births in a local hospital follows Poisson distribution with average 2.6 per day. What is the probability of at least 20 births in a week?

A student takes 10 question quiz, with 5 options for each question. He needs to get 6 of them correct to pass the quiz. If he is sure about 4 of the answers, what is the probability of his passing the quiz?

On average, 8 speeding tickets are issued by Officer Milton during his 12-hour duty. What is the probability him issuing at most 3 tickets during 6 pm to 9 pm?

Approximately 12% of the high school students drop out without earning high school diploma. If 15 high school students are chosen, what is the probability of not more than 2 dropping out without high school diploma?