Statistics and Probability Flashcards

Flashcards from Statistics and Probability lecture notes.

What is the probability of selecting two orange flavored gumdrops in a row from a bag containing 4 strawberry and 5 orange gumdrops?

The probability is 20/72 or 5/18.

What is the probability of flipping tails on a coin and spinning an 'R' on the given spinner?

The probability is 1/16.

What is the probability that the total of the numbers facing up on two number cubes rolled at the same time will equal 12?

The probability is 1/36.

What is the probability of selecting a glue stick twice in a row, with replacement, from a box containing 5 pencils, 6 pens, 3 glue sticks, and 1 marker?

The probability is 9/225 or 1/25.

What is the probability of selecting a hamburger with juice from the school lunch menu of hamburger, pizza, or chicken nuggets and milk, or juice?

The probability is 1/9.

If a spinner with equal probability for each number is spun 1,000 times, how many times would you expect it to stop on the number 1 or the number 4?

You would expect it to stop on the number 1 or the number 4, approximately 250 times.

What is the probability that Gail will win the grand prize if she purchased 5 raffle tickets out of 1,500 tickets sold?

The probability is 5/1500 or 1/300.

What is the probability that the person chosen to hand out books is a girl if there are 15 boys and 16 girls in Gabriel's class?

The probability is 16/31.

What is the probability of selecting any card other than an ace from a deck of cards?

The probability of selecting any card other than an ace is 48/52 or 12/13.

What is the probability that the hair bow selected will be big and pink if there are 14 red big bows, 4 pink big bows, 7 purple big bows, 8 red small bows, 10 pink small bows and 4 purple small bows?

The probability of selecting a big and pink hair bow is 4/41.

The probability of spinning blue on Victor's spinner is 1. Which word best describes the chance of spinning blue on Victor's spinner?

The word that best describes the chance of spinning blue is 'certain'.

Gregory spins the spinner once. What is P(vowel)?

The probability of spinning a vowel is 2/5.

The weather reporter says that there is a 14% chance that it will rain tomorrow. What is the probability that it will not rain?

The probability that it will not rain is 86%.

What is the probability that you pick a green or pink marble from a bag of marbles containing 4 green, 7 yellow, 3 red, and 6 pink marbles?

The probability of picking a green or pink marble is 10/20, 0.50, or 50%.

What is the probability that the card is an odd number that is greater than 4 if eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10?

The probability that the card is an odd number that is greater than 4 is 3/8, 0.375, or 37.5%.

Justin conducted a survey to find out people's favorite sport. If Justin were to survey 250 people, how many would you predict would name basketball?

If Justin were to survey 250 people, you would predict that 100 would name basketball as their favorite sport.

Judith randomly selected 20% of the seventh-grade students in her school and asked them their favorite genre of music. Of these students surveyed 41 chose pop music as the favorite music genre. Based on the data, what is the most reasonable prediction of the number of seventh-grade students in her school who would choose pop music as their favorite genre?

The most reasonable prediction of the number of seventh-grade students in her school who would choose pop music as their favorite genre is 205.

A store sells 3 types of pant lengths: average, petite, and tall. The store worker surveys 50 people at random about their favorite preference in pants lengths. The survey responses are indicated below. If 450 pairs of pants are ordered, how many should be average length?

If 450 pairs of pants are ordered, 225 should be average length.

A survey showed that 28% of adults do not own cellular phones. Out of 1,550 adults, predict how many would say that they do not own cellular phones?

Out of 1,550 adults, you would predict that 434 would say that they do not own cellular phones.

To select the new school mascot, 30 randomly selected students in each grade were asked to choose between two finalists: bear and shark. Which statement is best supported by the results?

The preferred mascot is the shark.

230 6th, 7th, and 8th grade girls and boys

An equal number of students from grades 6 through 8 attend Pathway Middle School. Which group of students would be the best sample to use for a survey that is designed to gather information about the opinions of all the school's students?

To evaluate the quality of the cellular phones coming off the assembly line, the manufacturer takes one every half hour and tests it. About 1 out of every 10,000 is found to have a minor mechanical problem. The company assumes from this data that about 1 out of every 10,000 cellular phones they produce will be returned for mechanical problems after being purchased. Determine whether this conclusion is valid. Justify your answer.

It is valid, because the population is unbiased

A television program asked its viewers to dial one of two phone numbers indicating their preference for one of two brands of toothpastes. Of those that responded 76% said they prefer Brand A. The program concluded that Brand A was the more popular brand of toothpaste. Determine whether this conclusion is valid. Justify your answer.

It is Not valid because it's volontary.

An automobile company plans to survey 100 people to find out what features they look for in a car they may want to buy. Where would they get the most helpful information?

a mall

The chef at a local restaurant wants to know how many customers would eat grilled salmon if she were to add it to the menu. The chef asks randomly selected group of customers over the age of 60 to answer a question about her idea. Which of the following is true?

The chef's sample does not include customers of all ages, so it is not representative.