Probability and Statistics Questions! Please explain if possible considering the

Question

Probability and Statistics Questions! Please explain if possible considering the answers should be quite short.
I simply want to verify my answers. These questions are prep for midterm exam. Thanks!

1. What probabilities should a person give in favor of the following events? (a) A card chosen at random from a 52-card deck is an ace. (b) Two heads will turn up when a coin is tossed twice. (c) Boxcars (two sixes will turn up when two dice are rolled 2. There are 4 television repairmen in a town. One day, 3 television sets break down. One repairman is called to repair each television set. We want to know the probability that the same repairman will be called to repair all three television sets. 3. Let K be event of drawing a king out of standard 52 card deck and let D be a diamond card. (a) What is P (K)? (b) What does P(KID) represent? (c) Use the definition to compute the numerical value of PODK)? (d) Are D and K independent? 4. Out of forty students, 15 are taking Physics and 30 are taking Statistics. (a) If five students are in both classes, how many students are in neither class (b) How many are in either class? (c) What is the probability that a randomly chosen student from this group is taking only the Statistics class 5. A boiler has four identical relief valves. The probability that any particular valve will open on demand is .90. Assuming independent operation of the valves, calculate PO at least one valve opens and P at least one valve fails to open

Explanation / Answer

1.

(A) THere are 4 aces in a deck of 52 cards. Hence the probability of chosing one ace is 4/52 =1/13

(B)Probability that two heads turns up when a coin is tossed up = P(H)*P(H) = 1/2*1/2 = 1/4

(C)Probability that two sixes turned up = P(6 on first dice)*P(6 on second dice) = 1/6 * 1/6 = 1/36

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.