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=2), n=3, p=0.2

At a certain University, the chance of a student receiving financial aid is 87%. 15 students are randomly and independently chosen. Use R/Rcmdr to find the probability that at most 12 of them are receiving financial aid. ROUND YOUR FINAL ANSWER TO 3 DECIMALS. Choose the most correct (closest) answer below? a.0.6916319 b.0.1204051 c.0.1879631 d.0.3083681

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.)

In a survey, 63% of Americans said they own an answering machine. If 15 Americans are selected at random, find the probability that exactly 11 own an answering machine. Round the answer to at least four decimal places. P(11)= ?

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.

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?