In a survey of 1000 students it was found that 840 own a cell phone, 450 own an MP3 player and 370 own both. How many students own neither?

A certain health maintenance organization (HMO) wishes to study why patients leave the HMO. A SRS of 360 patients was taken. Data was collected on whether a patient had filed a complaint and, if so, whether the complaint was medical or nonmedical in nature. After a year, a tally from these patients was collected to count number who left the HMO voluntarily. Here are the data on the total number in each group and the number who voluntarily left the HMO:   No complaint Medical complaint Nonmedical complaint Total 159 132 69 Left 60 34 26 If the null hypothesis is H0:p1=p2=p3 and using α=0.01, then do the following:  (a) Find the expected number of people with no complaint who leave the HMO: (b) Find the expected number of people with a medical complaint who leave the HMO: (c) Find the expected number of people with a nonmedical complaint who leave the HMO: (d) Find the test statistic: (e) Find the degrees of freedom: (f) Find the critical value:

Last week a gumball machine dispensed 10 white gumballs and 16 other gumballs. Considering this data, how many of the next 78 gumballs dispensed should you expect to be white gumballs?

Of the 137 students who took a mathematics exam, 57 correctly answered the first question, 65 correctly answered the second question, and 23 correctly answered both questions. How many students did not answer either of the two questions correctly? students did not answer either of the two questions correctly.

To determine the number of  in a lake ​, a conservationist  catches 450 trout's  ​, tags​ them, and releases them. Later 88  are​ caught, and it is found that 45 of them are tagged. Assuming that the proportion of tagged  in the second sample was the same as the proportion of tagged  in the total​ population, estimate the number of  in the lake.

In a survey of 104 pet owners, 19 said they own a dog, and 52 said they own a cat. 15 said they own both a dog and a cat? How many owned a dog but not a cat?

In a survey of restaurant customers, 63 customers ordered french fries or a salad, 38 ordered french fries, and 15 ordered both french fries and a salad. How many of the customers' surveys ordered a salad?

A member of the Student Council decided to conduct a room visit and asked the students for their club involvement. Out of 150 who were surveyed, 85 mentioned that they joined the Debate Club; 70 said that they signed up for the Cooking Club; and 50 joined both the Debate and Cooking Clubs. How many students joined the Debate or Cooking Club?

A shipment of 520 calculators, 16 are found to be defective. How many defective calculators are expected in a shipment of 2000?

The average age of the students in Class A is more than 11 years old. If ten out of the eleven students are 11 years old, which of the following could be the age of the remaining student?