Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(X>3), n=4, p= 0.4

Find the probability and interpret the results. If convenient, use technology to find the probability. The population mean annual salary for environmental compliance specialists is about $60,500. A random sample of 35 specialists is drawn from this population. What is the probability that the mean salary of the sample is less than $57,500? Assume o = $6,100. %3D The probability that the mean salary of the sample is less than $57,500 is (Round to four decimal places as needed.)

use each described binomial probability distribution to calculate the cumulative probability requested. The probability of a high school student in America wearing jeans to school on a particular day is 40%. Leon stood by the doorway of his classroom and recorded whether the next 10 students who entered the classroom were wearing jeans.

When X is a binomial random variable, the mean of the probability distribution = np.  A jury has 12 people on the jury. If a certain town has a population that is 9 percent a certain race, how many people of that race would you expect would be on the jury if jury selection was random (and every person was equally likely to be on the jury). Round answers to 4 decimal places as needed.

For each probability and percentile problem, draw the picture.A random number generator picks a number from 1 to 8 in a uniform manner.   Part (h) P(X > 5 | X > 3) =         (Enter an exact number as an integer, fraction, or decimal.)   Part (i) Find the 60th percentile. (Round your answer to one decimal place.)

34% of CSU students participate in the Statistics Games while they attend CSU. You take a random sample of 40 students. What is the probability of getting a a sample with more than 15 students who have participated in the Games? Use 2 decimal places for your z-score when finding the probability area. Give your answer to 4 decimal places.

You host a house party with 4 guests attending. Every guest gets a chance to win a gift by spinning a wheel with 1/3 of a chance of stopping at the winning spot. If you prepare 2 gifts to give away, what is the probability of you being embarrassed for running short of gifts (i.e, there are more winners than the number of gifts). Round your answer to two decimal places (for example: 0.12)

Determine whether the given procedure results in a binomial distribution.    Tossing a coin 25 times and recording the number of tails you get.

A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this population.   what is the probability that the sample proportion is between 0.53 and 0.56? What is the probability that the sample proportion is less than 0.49?

A vaccine has a 87% probability of being effective in preventing disease. The probability of getting the disease if a person is not vaccinated is 46%. In a certain geographic region, 21% of the people get vaccinated. If a person is selected at random, find the probability that he or she will contract the disease. Round your answer to three decimal places. Also, draw a tree diagram or a table to support your work.