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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

What increases the likelihood of a loss occurring?

Mrs. Ward is afraid she is going to be killed in a car accident. So she has chosen not to ride in cars. How does she handle her risk?

What is the probability that the colors red blue pink appear in the first second third tosses if 3 faces of a die are red blue and pink and it is thrown thrice?

The answer depends on how many faces the die has: a minimum of 4 and no maximum.

If you assume that it is a regular cubic die and that the other three faces are not red, blue nor pink, then the probability is 1/216.

Two possible outcomes of disequilibrium Economic?

Market disequilibrium is market conditions yielding surplus or shortage: a market state in which the forces of demand and supply are not balanced, leading to price fluctuations that reflect a shortage or a surplus of a product or commodity.

What is the standard deviation of a variance of 846?

If the variance is 846, then the standard deviation is 29.1, the square root of 846.

How do you assess if data is normally distributed?

The easiest way to tell if data is normally distributed is to plot the data.

line plot apex

What is the formula for a random variable?

The formula, if any, depends on the probability distribution function for the variable. In the case of a discrete variable, X, this defines the probability that X = x. For a continuous variable, the probability density function is a continuous function, f(x), such that Pr(a < X < b) is the area under the function f, between a and b (or the definite integral or f, with respect to x, between a and b.

One card is drawn from a standard deck of cards The probability of drawing a queen or any red card equals?

There are 2 black queens and 26 red cards in a standard deck. Therefore the probability is 28/52 = 7/13 = 53.85%

If you Have a deck of 52 cards What is the probability that first 4 are spades?

The probability of drawing 4 spades from a deck of 52 cards is 11 in 4165.

The probability of the first spade is 13 in 52, or 1 in 4. The second spade is 12 in 51, or 4 in 17. The third spade is 11 in 50. The fourth spade is 10 in 49. Multiply these four probabilities together and you get 440 in 166600, or 11 in 4165.

Is rolling an even number on a number cube an event or outcome?

Before you roll the cube it is an even. Afterwards, it is an outcome.

What is the probability of rolling either a 6 or 4 on one roll of a dice?

The probability of rolling either a 6 or 4 on one roll of a dice is two thirds (one sixth plus one sixth because both four and six have a probability of one sixth.

What function of course focusing mechanism?

The coarse focusing mechanism is the rough focus knob on the microscope. It is used to move the objective lenses toward or away from the specimen.

How large would your sample have to be for appropriate estimation of the whole population?

First you have chose an estimator for what you want to know about the population. In general the level of variability in the result that any estimator provides will depend on the variability in the population. Therefore, the greater the variability in the population the larger your sample size must be.

You will also need to decide how much precision is required in your estimate. The more precision you require the greater your sample size will have to be.

How many different ways can you arrange the word compare?

Since the letter of the word COMPARE are distinct, i.e. none of them repeat, then the number of different way you can arrange them is simply the number of permutations of 7 things taken 7 at a time. That is 7! or 5040.

Define a discrete random variable and its probability distribution?

Let x = number of heads when two unbiased coins are tossed. X is a random variable.

The sample space is {HH,HT,TH,TT} where H = heads and T=tails.

Here is the probability distribution of X.

x-------p(x)

0-------1/4

1-------2/4=1/2

2-------1/4

X assumes 3 values 0,1, and 2 with probabilities 1/4,1/2. amd 1/4.

Which of the following is a valid probability distribution for a discrete random variable?

A.1.0B.0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1, 0.1E.0.21, 0.16, 0.05, 0.04, 0.03, 0.12, 0.21, 0.18

no

C.0.18, 0.12, 0.03, -0.08, 0.21, 0.04, -0.34, 0.05, 0.16, 0.25, 0.21, 0.17D.0.02, 0.03, 0.21, 0.16, 0.04, 0.12, 0.18, 0.05, 0.16, 0.05

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