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High school probability

Recent questions in High school probability

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?

vousetmoiec 2021-11-17

Suppose that the random variable x, shown below, represents the number times . P(x) represents the probability of a randomly selected person having received that number of speeding tickets during that period. Use the probability distribution table shown below to answer the following questions.
$\begin{array}{cc} x & P (x) \\ 0 & 0.3176 \\ 1 & 0.2705 \\ 2 & 0.2469 \\ 3 & 0.0832 \\ 4 & 0.0485 \\ 5 & 0.0333 \\ 6 + & 0.0000 \end{array}$
a) What is the probability that a randomly selected person has received four tickets in a three-year period?
$P (x = 4) = P (x = 4) =$
b) What is the probability that a randomly selected person has received three tickets in a three-year period?
$P (x = 3) = P (x = 3) =$
c) What is the probability that that a randomly selected person has received more than one tickets in a three-year period?
$P (x > 1) = P (x > 1) =$
d) What is the probability that that a randomly selected person has received two or less tickets in a three-year period?
$P (x \leq 2) = P (x \leq 2) =$

n2z1emldk 2021-11-17

From Theoretical and Experimental Probability, which of the two method is more appropriate and valid to use in determining probabilities? Why?

angepepagiortzb 2021-11-17

Suppose your top drawer contains 44 different colored socks:
6 are white,
16 are black,
10 are pink, and
12 are blue.
All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time. Calculate the following probabilities, writing your answer either as a decimal or a fraction.
(a) What is the probability that you get a blue pair of socks?
(b) What is the probability that you do not get a blue pair of socks?
(c) What is the probability that neither is blue?
(d) What is the probability that you get either a white pair or a blue pair of socks?
(e) What is the probability that you get one black sock and one white sock?

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?

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.

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

Michael Dennis 2021-11-17

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

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?

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