Probability Equations Explained with Examples

Determine whether this table represents a probability distribution.
$\begin{array}{cc} x & P (x) \\ 0 & 0.05 \\ 1 & 0.3 \\ 2 & 0.25 \\ 3 & 0.4 \end{array}$
A. Yes, it is a probability distribution
B. No, it is not a probability distribution

Rena Giron 2021-11-17

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is .4, the analogous probability for the second signal is .5, and the probability that he must stop at at least one of the two signals is .7. What is the probability that he must stop
a. At both signals?
b. At the first signal but not at the second one?
c. At exactly one signal?

dictetzqh 2021-11-17

The marketing director for a small manufacturer of personal computers (PCs) believes that the discrete probability distribution shown in the following table characterizes the number, y, of new PDs the firm will lease next year.
Leased Personal Computers
$\begin{array}{cc} y & 7 & 8 & 9 & 10 & 11 & 12 & 13 \\ P (y) & 0.10 & 0.10 & 0.15 & 0.20 & 0.20 & 0.15 & 0.10 \end{array}$
1. Is this a valid probability distribution?
2. What is the probability that exactly 9 PCs will be leased?
3. What is the probability that fewer than 12 PCs will be leased?

Serotoninl7 2021-11-17

3 coins are put in a bag. 2 of the coins are weighted with the probability of flipping heads being two times greater than the probability of flipping tails while the other coin is a fair coin. One of these coins is selected at random and then flipped once. What is the probability that a weighted coin was selected given that heads was flipped?
Conditional probability: Yes or No.

Schwelliney 2021-11-17

The population consists of healthy, ill and hospitalized people. A healthy person remains helthy with probability 0.7 or becomes ill with probability 0.3. An ill person recovers with probability 0.6 or becomes hospitalized with probability 0.4. A hospitalized person may recover with probability 0.5 or remain hospitalized with probability 0.5. Find the number of healthy, ill and hospitalized people after a long run of the illness assuming that initially the number of healthy, ill and hospitalized people is:
A) ${\vec{v}}_{A} = ⟨ Healthy, ill, hospitalized ⟩ = ⟨ h, i, o ⟩ = ⟨ 50, 25, 12 ⟩$
B) ${\vec{v}}_{B} = ⟨ Healthy, ill, hospitalized ⟩ = ⟨ h, i, o ⟩ = ⟨ 87, 0, 0 ⟩$

Michael Dennis 2021-11-17

Ratio frequency identification (RFID) is an electronic scanning technology that can be used to identify items in a number of ways. One advantage of RFID is that it can rliminate the need to manual count invertory, which can help improve invertory management. The technology is not infalible, however, and sometimes errors occurs when items are scanned. The probability that a scarring error occurs is 0.063. Complete parts a through d.
a) Find the probability that exactly 16 items will be scarred incorrectly from the next 4,600 items scanned.
b) Find the probability that more than 16 items will be scanned incorrectly from the next 4.600 items scanned
c) Find the probability that the number of items scanned incorrectly is between 14 and 16, irclusive, from the next 4,600 items scanned.

Jason Watson 2021-11-17

The probability that a new computer functions for over 10,000 hours is 0.8, the probability that it functions for over 20,000 hours is 0.4 and the probability that it functions for over 30,000 hours is 0.1. If a new computer is still working after 10,000 hours, what is the probability that
i. its total life will exceed 20,000 hours;
ii. its additional life will exceed 20,000 hours?

Jason Watson 2021-11-17

A process yields 10% defective items. For testing purposes, 100 items are randomly selected from the process. A normal distribution may be approximated in order to get the probability of any event.
- What is the probability that the number of defectives exceeds 13?
- What is the probability that the number of defectives is less than 8?

wurmiana6d 2021-11-17

Find the probability P(E or F) if E and F are not related, $ P (E) = 0.41 , and P (F) = 0.47$ .
The probability P(E or F) is nothing.

nuais6lfp 2021-11-17

You can type blindfold at your keyboard, but that comes at a disadvantage of making typos. Let us say that you are required to type the word FLASH. You might insert anextra letter (all 26 letters equally likely) with probability 0.1, skip any required letter with probability 0.1, or write the correct required letter with probability 0.8. What is the probability that, when required to type the word FLASH, you instead end up writing FAST?
Hint:
- Letters F, A, S are correct required letters
- L and H are skipped letters
- T is the extra letter

gonjenjemeb 2021-11-17

Provide a question that requires the Law of Total Probability.
Provide an answer to the question that applies the Law of Total Probability. Be sure to phrase in terms of events.

Lorenzolaji 2021-11-17

If two events, Event A with probability P(A) and Event B with probability P(B) are independent, then the conditional probability P(A│B) is ?.
- P(B)
- 0
- P(A)
- $P (A) \times P (B)$

Grady Turner 2021-11-17

A producer wants to maximize its sale of special product which influenced directly weather conditions. In this sense, it must predict temperature and wind. Lets

Clifton Sanchez 2021-11-17

Assuming that the student preferences will follow a consistent probability model, a teacher offers his students the option of choosing one of four final exam schedules. He discovers that 12 students have registered for Time One, 8 for Time Two, 11 for Time Three, and 9 for Time Four after all 40 students have given their selections. Which of the subsequent statements is accurate? Please check all that apply.
a) The experimental probability of a student Time Four is larger that the theoretical probability.
b) The theoretical probability of a student picking Time Two is 25%.
c) The size of sample spaces is 40.
d) The size of the sample space is 4.
e) The experimental probability of a student picking Time Three is larger than the theoretical probability.

Nefissi8u 2021-11-17

A coin is tossed 5 times. Find the probability that none are heads. Find the probability that most 2 are heads, the probability that none are heads is?

jippie771h 2021-11-17

If it is known that the probability that a light bulb works correctly is 9 times greater than the probability that it has a fault, What is the maximum number of light bulbs they must make to have a probability greater than 0.5 that all of them work correctly?

Monincbh 2021-11-17

Suppose that 1212 of all cars sold at a Nissan dealer in a given year are Altimas, 1313 are Maximas, and the rest are Sentras. Suppose that 1212 of the Altimas, 1212 of the Maximas, and 2323 of the Sentras have a moon roof. Answer the following questions. For each question, first decide whether the probability is a conditional probability or not.
1. What is the probability a randomly selected car has a moon roof?
2. What is the probability that a randomly selected car has a moon roof given it is a Sentra?
3. What is the probability a randomly selected car is a Maxima if it has a moon roof?

skeexerxo175o 2021-11-17

Five times a coin is flipped, with a 0.40 chance that it will land on its tail.
1) Find the probability of obtaining exactly four tails
2) Find the probability of obtaining exactly one heads
3) True or False? The probabilities in parts A and B must be equal to each other.

Baublysiz 2021-11-17

At a doctor's office, patients arrive at a rate of ten per hour. With a probability of $\frac{1}{2}$ , each is either young or old. Assume you know that exactly ten young people arrived within an hour (say, 10 to 11am)
a) Compute the probability that exactly 10 old patients also entered.
b) Compute the probability that at least 20 patients have entered

skomminbv 2021-11-17

Calculate the following probabilities by expressing them with the appropriate notation. a) The probability of a 20-year-old person to live for at least 25 years b) The probability that a 30-year-old will die within the year following the age of 45 c) The probability that a 35-year-old person dies between the ages of 60 and 70 d) The probability that a 45-year-old will die within 5 years

If you are looking for high school probability equations, you are in the right place because we can provide you with the list of answers and questions that will help you as you deal with your equations or just need practical examples. If you need to deal with something specific, browse through the list of examples and see how each answer has been handled.

The high school probability differs from those engineering tasks, yet it is not always much simpler if you do not know the basics. Therefore, take your time to see our examples and learn.

High school probability

Probability Examples and Explanations