Given a binomial distribution in which the probability of success is 0.53 and the number of trials 9, what the probability of getting at least 8 successes?

In the winter, guests who visit Yosemite National Park like to stay at an overnight lodge in the park 71 % of the time. Find the probability that among 11 guests surveyed exactly 3 guests like to stay at an overnight lodge in the park. P(x = 3) =

If Y is a random variable from an exponential distribution with a mean of 5; what is the probability that Y is more than 7?

About 10​% of babies born with a certain ailment recover fully. A hospital is caring for seven babies born with this ailment. The random variable represents the number of babies that recover fully. Decide whether the experiment is a binomial experiment. If it​ is, identify a​ success, specify the values of​ n, p, and​ q, and list the possible values of the random variable x. is the experiment a binomial​ experiment? No Yes What is a success in this​ experiment? Baby​ doesn't recover Baby recovers This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice.A.n=enter your response hereB.This is not a binomial experiment.     Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice.A.p=enter your response hereB.This is not a binomial experiment.   Specify the value of q. Select the correct choice below and fill in any answer boxes in your choice.A.q=enter your response…

After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).

Suppose 48% of the registered voters in a country are Republican. If a sample of 586 voters is selected, what is the probability that the sample proportion of Republicans will be greater than 42%? Round your answer to four decimal places.

Would it be unusual for an data value to be more extreme than 4.76 standard deviations from the mean?  Explain using probability. Would it be unusual for a data value to be more extreme than -1.36 standard deviations from the mean?  Explain using probability. For 9 trials that follow a binomial distribution with the probability of failure at 8%, find the probability of exactly 6 successes. Find and interpret the expected value of a $20 bet on red and $40 bet on black for one spin of the roulette wheel.