A home security system is designed to have a 99% reliability rate. Suppose that 15 homes equipped with this system experience an attempted burglary. Let x be the random variable denoting the homes equipped with this system experience an attempted burglary out of the 15 homes.  a. What is the probability distribution of x?  b. Find the probability that no alarms triggered. c. Find the probabilities of at least 8 alarms are triggered.  d. Find the mean and variance of x

During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X= the number of shots that scored points. What is the probability distribution for X?

A manufacturing engineer takes 22 samples from a manufacturing process to verify if the production complies with a quality standard. The probability of a product quality defect is 0.03 or 3%. What is the probability of finding less than 3 of the samples with quality defects? a. 0.1402 b. 0.04 c. 0.9729 d. 0.8598

If X is the number of heads and Y the number ofheads minus the number of tails obtained in three flipsof a balanced coin, construct a table showing the valuesof the joint probability distribution of X and Y.

The probabilities that there are 2,3,4,5,or 6 defective television sets of a certain manufacturer are 34%,23%,19%,9%and 15% respectively. A. Construct the probability distribution of the random variable B. Compute the mean, variance and standard deviation

A population proportion is 0.61. Suppose a random sample of 655 items is sampled randomly from this population.   d. What is the probability that the sample proportion is between 0.58 and 0.59?e. What is the probability that the sample proportion is less than 0.51?

. The number of death due to diabetes and kidney disease for an American during 2015 is respectively  68,500 and 42,100. What is  the relative frequency probability of death due to diabetes for an American during 2015? How much greater is the risk of death due to diabetes than the risk of death due to kidney disease?

Construct a tree diagram and sample space for the outcomes of the experiment. Define the probability distribution with X=number of Pepsi selections of an outcome.Calculate the mean (expected value) and standard deviation of the distribution. Interpret the meaning of the mean and standard deviation.

. Assume that 10% of people are left-handed. Condsider a random sample of 5 people. What is the probability that all of them are left-handed. Please answer quickly

Multiple Choice: Choose the letter of the correct answer. You want to invest in companies belonging to Gispa Group of Companies Inc. so you did some research and found out that companies belonging to this group has an average gain of 0.8 percent and standard deviation of 0.7 percent. Given that a positive percent (gain) means profit and a negative percent means a loss, answer the following questions. 1.) If you choose 6 companies, what is the probability that the companies are losing money? A.) 2.80 B.) 0.4974 C.) 0.0026 D.) 0.9974 2.) If you choose 20 companies, what is the probability that the companies are gaining more than 1 percent? A.) 0.1003 B.) 0.3997 C.) 0.8997 D.) 1.2803