Unit Test — Unit test Answers

A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation to estimate the number of packages that would need to be randomly selected in order to find a package that was not delivered on time. The student assigns the digits to the outcomes. 00-04 = package not delivered on time05-99 = package delivered on time

Sisters Amilia and Bianca play games together often. Let A represent the number of games Amilia wins monthly, and let B represent the number of games Bianca wins monthly. A and B are independent events. The mean of A is 35.7 games with a standard deviation of 5.1 games, and the mean of B is 37.3 games with a standard deviation of 6.8 games. What is the mean and standard deviation of the total number of games won, S = A + B?

At a certain pizzeria, it is known that 25% of orders are for small pizzas. What is the probability that the 5th pizza ordered is the first small pizza?

Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subject’s standardized test is given in the table.

A professional basketball player typically attempts 8 free throws per game. Let X represent the number of free throws made out of 8. The distribution for X is shown in the table.Which is the correct interpretation of the standard deviation?

A racecar driver has a 0.05 probability of winning any given race in a season. There are 16 races in a season, and whether or not the driver wins one race is independent of whether he wins any other race. Let X represent the number of races the driver wins in the season.Have the conditions for a binomial setting been met for this scenario?

A bottled water company runs a promotion in which 1 out of every 4 bottles has the word "Winner” printed under the cap. Winners receive a free bottle of water. A store owner notices that in the last 4 bottles of water purchased, 2 have been winners. Using the table, what is the probability of getting 2 or more "Winner” caps on 4 bottles of water?

A volleyball player’s serving percentage is 90%. Six random serves are selected. What is the probability that 5 of those serves were successful?

One professional basketball player typically attempts eight free throws per game. Let X represent the number of free throws made out of eight. The histogram displays the distribution.

A shipping company claims that 95% of packages are delivered on time. A student wants to conduct a simulation to estimate the number of packages that would need to be randomly selected in order to find a package that was not delivered on time. What is an appropriate assignment of digits to carry out this simulation?

Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would like to carry out a simulation to estimate the number of cartons, in a sample of 10, that would contain at least one broken egg. She assigns the digits to the outcomes. 01-08 = carton contains a broken egg09-99, 00 = carton does not contain a broken egg

Claire flips a coin 4 times. Using the table, what is the probability that the coin will show tails at most once?

Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution for X is given in the table.Which of the following represents the probability of the hens laying at least four eggs?

Based on their own blood types, a couple has a 0.75 probability of having a child with type A blood. If the couple has 4 children, what is the probability that they will have 2 children with type A blood?

A small university has 200 first-year students. Historically at this university, 88% of first-year students graduate in four years. Assume that whether or not one student graduates is independent of whether or not another student graduates. Let X represent the number of first-year students who graduate in four years. What are the mean and standard deviation X?