Chapter 5.1, Problem 1VRC

Use Laplace transform to find L{f(t)}  f(t) = tsin(t)

6 dong mu 2) A Using the toddler data table in Question 1 and appropriate probability notation, identify and calculate the following: a. What percentage of the toddlers are right-handed males? b. What percentage of the toddlers are right-handed females? c. Suppose that you want to see whether you can find a relation between gender and dominant hand. Can you compare your answers to parts a and b to come to a conclusion? d. Find two events in this table that are mutually exclusive. dedorg lenige yewis skilldedang isigys gau eyewis 10 alsublibut to ad sadran

Suppose that medical researchers collect data from an experiment comparing a new drug to an existing drug (call this the treatment variable), regarding whether it made patients' symptoms improve (call this the outcome variable). A check for independence shows that the outcome is related to the treatment the patients receive. a. Are treatment and outcome independent or dependent in this case? b. Do the results mean that the new medi- cine causes the symptoms to improve? Explain your answer.

Suppose that A and B are independent and P(A) = 0.3 and P(B) = 0.2. Find P(AUB). vob siw bris sugit or sal s

Suppose that you flip a fair coin two times, and the flips are independent. a. What is the probability that you will get two heads in a row? b. What is the probability that you will get exactly one head? c. How does your answer to b change if the chance of a head is 0.75 (coin is not fair)?

Suppose that A and B are independent and P(A)=0.6 and P(B) = 0.2. What is P(A and B)?

to, and P(BIA) uses the total group general. 13 Using the bumper sticker data from the first example problem in this chapter and appro- priate probability notation, identify and calculate the following: a. Let O = older cars and B = a lot of bumper stickers. Find and interpret P(BIO). b. What percentage of the older cars have a lot of bumper stickers? c. Of the older cars, what percentage have a lot of bumper stickers? d. What's the probability that a car has a lot of bumper stickers, given its old age? (2 al dad won gang

a) d 5 Using the car bumper sticker data (see the previous section's example problem) and appropriate probability notation, identify and calculate the following: a. What percentage of the cars are new and have a lot of bumper stickers? (Think mountain traveler and adventurer.) b. What percentage of the cars have a lot of bumper stickers and are old? (Think BC. 1960s vans.) c. What percentage of the cars have a lot of bumper stickers or are old? 62 d. What percentage of the cars are old with a lot of bumper stickers?

Using the toddler data table in Question 1 and appropriate probability notation, identify and calculate the following: a. What percentage of the toddlers are right-handed males? b. What percentage of the toddlers are right-handed females? c. Suppose that you want to see whether you can find a relation between gender and dominant hand. Can you compare your answers to parts a and b to come to a Ssb conclusion? d. Find two events in this table that are mutually exclusive.