You and your friend decide to get your cars inspected. You are informed that 85% of cars pass inspection. If the event of your car's passing is independent of your friend's car, a) What is the probability that your car passes inspection? b) What is the probability that your car doesn't pass inspection? c) What is the probability that both of the cars pass? d) What is the probability that at least one of the two cars passes?
a) the probability that your car passes inspection is 0.85
b) the probability that your car doesn’t pass inspection
is (1-0.85) = 0.15
c) the probability that both of the cars pass is
(0.85*0.85) = 0.7225
d) the probability that at lease on of the two cars passes is
0.85 + 0.85 - (0.85 *0.85) = 0.9775
You and your friend decide to get your cars inspected. You are informed that 85% of...
12. In a Biology class 85% of students pass the midterm exam. If a student passes the midterm exam, there is a 75% they pass the final. If a student does not pass the midterm exam, there is a 55% chance of passing the final exam. a. [3] What is the probability that a student passes both exams? b. [3] If a student passes the final, what is the probability that they passed the midterm exam? C. [3] Are the...
Problem 2 You and a friend decide to race your paddle boats on Lake Wichita You both start peddling at t-0 and the race is over when one of you reaches the finish line 25 meters from your starting location, although you both continue paddling across the lake. The velocity time graph for you and your friend is shown below. (a)Who wins the race? Explain your reasoning. Hint: You shouldn't have to calculate anything. (b)How long does it take you...
You and your best friend are both majoring in accounting, and the two of you have had several courses together throughout your studies. Due to a scheduling conflict, you're on your own in the auditing class, and loving the content so far! As you try to explain the class to your friend, it becomes clear that he doesn't really understand the audit process. He asks you the following questions: Isn't it the auditor's job just to check the numbers and...
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are hearts, your friend will pay you $25.00. Otherwise, you have to pay your friend $5.00. What is the expected value of your bet?
Suppose you have four cars, A, B, C, D, respectively. On a given day, the probability that your car will not work properly is P(A)=.04, P(B)=.01, P(C)= .06, P(D)=.01. If whether or not the car functions is independent of one another, what is the probability that on that given day at least one car is working properly? Show all work.
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $487. Otherwise, you have to pay your friend $29. Step 1 of 2 : What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are spades, your friend will pay you $39. Otherwise, you have to pay your friend $5. Step 1 of 2 : What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $801. Otherwise, you have to pay your friend $48. Step 1 of 2 : What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are spades, your friend will pay you $49 . Otherwise, you have to pay your friend $5 Step 1 of 2 : What is the expected value of your bet? Round your answer to two decimal places. Losses must be expressed as negative values.
You and a group of friends are on a day trip to a nearby national park. After a fun-filled day of fishing and boating, you are ready to head back home when you find that your car battery is dead. Your friend offers to use his car's battery and jumper cables to charge yours. The connections are shown in the two diagrams below. The internal resistance of your car battery is rd = 2.65 ?, that of your friend's battery...