# College math for non-majors hw stats

**Question 4**

A student has scores of 50%, 74%, and 72%, on three exams.

What grade does the student need on the next exam to have an overall mean of 70%?

State your answer as a percent rounded to the nearest whole number, but do not include the % symbol in your answer.

**Question 6**

In a class of 456 students, Tyler has a rank of 256.

What is his percentile rank?

Round to the nearest whole number, but do not include a % symbol or a suffix (such as -th or -rd) with your response.

**Question 7**

For the following data set, what is the first quartile?

{2, 12, 16, 20, 25, 30, 37, 41}

**Question 8**

At State College last term, a large number of students completed a Spanish course.

69 of the students earned A’s, 94 earned B’s, 116 got C’s, 77 were issued D’s, and 51 students failed the course.

If this grade distribution was graphed on pie chart, how many degrees would be used to indicate the D region?

Round your answer to the nearest whole degree, but do not include a degree symbol with your response.

**Question 9**

Given a data set with the mean = 38 and the standard deviation = 3, what percent

of the data points are below 41?

Do not include a % symbol with your response.

**Question 10**

Candice scored 74 on an exam that had a mean of 66 and a standard deviation of 4.

Erin scored 54 on an exam with a mean of 42 and a standard deviation of 7.

Who scored better?

- Candice
- Erin
- They scored the same

**Question 12**

A hotel reservation number consists of 4 numbers followed by 1 letters.

How many different reservation numbers are possible?

Assume repetition is allowed.

**Question 13**

A youth soccer coach much choose 3 of his 7 players to go into a game.

In how many ways can this be done?

**Question 14**

Mrs. Jordan has a collection of 9 expensive dolls.

How many different ways can she arrange 3 of them in a straight line for a photo?

**Question 15**

A single card is drawn from a standard deck.

What is the probability the card is a heart or a king?

State your answer as a fraction.

**Question 16**

If a single card is randomly drawn from a standard deck of cards, what are the odds in favor of the card being a 3 or a 6?

State your answer as a ratio using a colon to separate the two numbers.

**Question 17**

An large urn contains 12 small red balls, 11 small white balls, 4 small green balls, and 4 small blue balls.

A ball is selected at random and replaced. Then another ball is selected.

Find the probability that the first ball is red and the second ball is white.

State your answer as a decimal, rounded to the nearest hundredth.

**Question 18**

A gumball machine contains 4 blue gumballs and 4 red gumballs.

Two gumballs are purchased, one after the other, without replacement.

Find the probability that the second gumball is red.

Express your answer as a decimal, rounded to the nearest hundredth.

**Question 19**

A game uses a single 6-sided die.

To play the game, the die is rolled one time, with the following results:

Even number = lose $7

1 or 3 = win $1

5 = win $12

What is the expected value of the game.

Round your answer to the nearest hundredth, and do not include a $ sign or the word “dollars” in your response.

**Question 20**

In a box there are four prizes that are worth $10, three prizes worth $100, and one prize worth $4000.

A player will reach into the box and draw one of the prizes at random.

What is the fair price for this game?

Round your answer to the nearest hundredth, and do not include a $ sign or the word “dollars” in your response.

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