A cereal company puts a small plastic bear in some of its cereal boxes. Customers who collect 10 of these bears win a grand prize.

Suppose that each box contains a bear with chance 1/5, independently of all other boxes. Suppose also that Rohan buys one box of this cereal each week.

Let T1T1 be the number of weeks it takes for Rohan to get his first bear.

Let T10T10 be the number of weeks it takes for Rohan to get his tenth bear.

Find the following probabilities. In each part, first write a math expression for the chance, and then use the code cell at the end of the exercise to find the numerical value. Provide the numerical value along with your math expression.

Note: Do not use stats. geom. pmf or stats. geom. cdf. You should be able to calculate the numerical value without these functions.

a) P(T1>12)P(T1>12)

b) P(T10=40)P(T10=40)

c) P(T10>40)P(T10>40)

d) P(T10>40∣T1=8)

Which expression and diagram represent “renee biked four times as far this month as last month”?

Janie has $3. she earns $1.20 for each chore she does and can do fractions of chores. she wants to earn enough money to buy a cd for $13.50.

Which scenarios are most effectively explored by conducting an experiment? there is more than one correct answer. select all that apply. researchers want to study the effectiveness of a particular drug for treating migraines. they want to know which dosage of the drug yields the best results with the least side effects. to ensure fair results, the researchers want to ensure that participants and dosage administrators do not know which dosage participants receive. a teacher wants to plan a class fieldtrip and quickly determine where students prefer to go for the class fieldtrip. a car mechanic wants to know which of two engine brands makes better-performing engines. he wants to test the engines in identical situations and rate their performance in a way that can be fairly measured. a chemist studies the properties of a metal compound. she wants to know how the sample size of the metal affects its ability to conduct electricity. she wants to conduct the research in a controlled environment to minimize bias. a realty company wants to know the average income of its clients. the company wants to gather data income from current clients.