One hundred and thirty-two individuals were selected at random and asked which brand of car they preferred.  They were then sorted by age. 

What is the probability that a person, selected at random, is in the 50 - 65 age group or prefers Toyota? Write your answer as a decimal rounded to four places.

One hundred and thirty-two individuals were selected at random and asked which brand of car they preferred.  They were then sorted by age. 

Does there appear to be an association between a person's age and what brand of car they prefer?

N(0, 1)

Which of the following are properties of a Normal Distribution? Choose all that apply.

This data is normally distributed. What percent of the data is in the shaded region?

This data is normally distributed. What percent of the data is in the shaded regions?

For patients in Dr. Jones' office, blood pressure has a mean of 115 with a standard deviation of 6. What percent of patients have blood pressure below 115?

Given a mean test score of 75 and a standard deviation of 7, use the Empirical Rule to find the percentage of scores that are between 75 and 82.

The distribution of the annual incomes of a group of employees at Compton Plastics approximates a normal distribution with a mean of $30,000 and a standard deviation of $2000. About 95% of the incomes lie between what two amounts?

95% of students weigh between 62 kg and 90 kg.

Assuming this data is normally distributed, what are the mean and standard deviation?

Suppose that a normal model describes the annual snowfall in Massachusetts (in inches). Last year's snowfall measurement had a z-score of -2.2. This means that last year the snowfall was

Jayden scored a 65 on his calculus test, where the class average was 70 and the standard deviation was 10.

Shyann scored a 46 on her algebra quiz, where the class average was 48 and the standard deviation was 3.

Who performed better comparatively on their assessment?

$$X$$  is normally distributed with a mean of 12 and a standard deviation of 8.

Which image corresponds to $$P\left(X>15\right)$$  ?

$$N\left(10,\ 5\right)$$

$$P\left(4<x<12\right)=$$ _______

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. If a dairy product is randomly selected, what is the probability that it will be "spoiled" in 8 days or less?

The scores obtained by students on a math test are normally distributed with a mean score of 61 and a standard deviation of 10. Find the probability that a randomly chosen student obtains a score higher than 85.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?

If I tell you that you scored at the 55th percentile on your final exam, you would know:

At the college level, the jumping distances for male long jumpers are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.  
Suppose a male long jumper's jump ranked in the 75th percentile.  How long was his jump?

Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

What level of IQ qualifies one to be within the top 5%?

Which four conditions are true for a binomial distribution?

In the following situation, identify n, p, q, and x for the binomial distribution:

A sea turtle's chance at survival is 2%. Counting a nest of 82 sea turtles, what is the probability that exactly 1 will survive?

Bob is taking a 100 question test.  They have a 90% probability of getting any one question correct.

Which is the correct formula to find that Bob will answer exactly 70 questions correctly? P(X=70) = ___

$$P\left(x\right)=nCx\cdot p^x\cdot q^{\left(n-x\right)}$$

In a particular town, the probability that a randomly chosen voter is a Republican is 0.35.

What is the probability that in a sample of 10 voters in the town, at least 1 will be a Republican? 

***Complement Shortcut: $$P\left(X\ge1\right)=1-P\left(none\right)$$

An egg supplier to a restaurant sends a daily shipment of 500 eggs. Previous records show that 4% of these eggs arrive damaged to the restaurant. Let X = the number of eggs that arrive damaged on a randomly selected day.

Find the mean (expected value) and standard deviation of X.

$$\mu=np\ \ \ and\ \ \ \ \sigma=\sqrt[]{npq}$$

An egg supplier to a restaurant sends a daily shipment of 500 eggs. Previous records show that 4% of these eggs arrive damaged to the restaurant. If the average number of damaged eggs is 20, with a standard deviation of 4.38, would it be unusual for 29 damaged eggs to arrive in a daily shipment?

Usual Range: $$-2\le Z\le2$$ or $$\left[\mu-2\sigma,\ \mu+2\sigma\right]$$

A binomial distribution $$B\left(n,p\right)$$ is approximately normal when the number of successes and the number of failures are both 10 or more ( $$np\ge10$$ and $$nq\ge10$$ ). For which of the binomial distributions listed below is the normal distribution a reasonable approximation?

Normal Approximation of a Binomial Distribution:

30% of all dogs in a city are microchipped. In a sample of 500 dogs, what is the probability that less than 140 dogs are microchipped? Select the closest option.

Which of the following statements are true? [Select all that apply.]

What does the x-axis of this bar graph show?

What frequency scale does the bar graph use?

Look at the bar graph and answer the following question:

Which is the most common type of allergy among children 0-4 years old?

Look at the bar graph and answer the following question:

What percentage of children between 10-17 years old have a food allergy?

Look at the bar graph and answer the following question:

Which type of allergy is more common among children 5-9 years old?

Look at the bar graph and answer the following question:

Which type of allergy shows the smallest difference between age groups?