A manufacturer ships toasters in cartons of 10. In each carton, they estimate a 10% chance that one of the toasters will need to be sent back for minor repairs. In a batch of 5,000 toasters, what are the chances that fewer than 450 toasters need to be returned? (round to three decimal places)

A citrus farmer has observed the following distribution for the number of oranges per tree. What is the standard deviation of the distribution? Number of Oranges 25 35 45 55 Probability 0.2 0.4 0.3 0.1

A pizza delivery driver, always trying to increase tips, runs an experiment on his next 40 deliveries, all of which will be made on the same warm, sunny day. He flips a coin to decide whether or not to call a customer from his mobile phone when he is five minutes away, hoping this slight bump in customer service will lead to a slight bump in tips. After 40 deliveries, he will compare the average tip percentage between the customers he called and those he did not. Was the experiment replicated?

For his Statistic class experiment, researcher J. Gilbert decided to study how parents’ income affects children’s performance on standardized tests like SAT. He proposed to collect information from a random sample of test takers and examine the relationship between parental income and SAT score. Is this an experiment? If not, what kind of study is it?

Using the two-way frequency table, determine what is the probability that a person likes to watch football, given that she also likes to watch basketball? hint: use the total columns… likes to watch: Football not football Total basketball 22 14 not basketball 37 27 Total

Determine how the following situation can be modeled by a Bernoulli Trial or explain why the following situation is not a Bernoulli Trial. Situation: You record the genders found in a group of 400 people.

A casino claims that its roulette wheel is truly random. What should that claim mean?

A soccer team estimates that they will score on 11% of the corner kicks. If this team has 209 corner kicks over the season, what are the chances that they score more than 19 times? (round to three decimal places)  

A company packaging pretzels maintains quality control by randomly selecting 20 cases from each day’s production and weighing the bags. Then they open two random bags from each case and inspect the contents. The population is . The population parameter of interest is . The sampling frame is The sample for this study is  

For a certain candy: 15% are yellow 10% are red 15% blue, 5% green, Rest are brown If you pick a piece at random, then what is the probability that it is is yellow or blue?