# Question: A carton containing 100 T shirts is inspected Each T shirt is

A carton containing 100 T-shirts is inspected. Each T-shirt is rated “first quality” or “irregular.” After all 100 T-shirts have been inspected, the number of irregulars is reported as a random variable. Explain why x is a binomial random variable.

## Answer to relevant Questions

A die is rolled 20 times, and the number of “fives” that occur is reported as being the random variable. Explain why x is a binomial random variable. Draw a tree diagram picturing a binomial experiment of four trials. Test the following function to determine whether or not it is a binomial probability function. List the distribution of probabilities and sketch a histogram. Of all the trees planted by a landscaping firm, 90% survive. What is the probability that 8 or more of the 10 trees they just planted will survive? (Find the answer by using a table.) Consider the binomial distribution where n _ 11 and p _ 0.05 (see Exercise 5.74) a. Use the distribution [Exercise 5.74(b) or Table 2] and find the mean and standard deviation using formulas (5.1), (5.3a), and (5.4). b. ...Post your question