Probability

Relative dispersion = coefficient of variation = (9000/45000)(100) = 20.

This depends entirely on the genotype of the parents. The probability of getting a specific genotype is the probability of getting the correct allele from mother (1/2) multiplied by the probability of getting the correct allele from father (1/2) multiplied by the number of ways this can occur. The probability of getting a phenotype, if the phenotype is dominant, is the sum of the probability of getting two dominant alleles, and the probability of getting one dominant allele. If the phenotype is recessive, the probability is equal to the probability of getting two recessive alleles.

1/8

120.

There are 6 digits. If we pick the digits in order, there are

6 possible digits for the first digit

5 remaining digits for the second digit

4 remaining digits for the third digit.

6*5*4 = 120.

The easiest way of calculating this is to find the probability that all three are boys, as this is the only arrangement that does not fit the criteria. Then work out the answer by taking this away from 1. Probability that all three are boys = 1/2 x 1/2 x 1/2 = 1/8. probability of there being at least one girl is 1 - 1/8 = 7/8 or 87.5%

to ensure your experiment is precise and to prevent error to happen during experiment

not sure

Yes, they are. Mutually exclusive events cannot occur together. Complementary events cannot occur together either because an event and its complement are the negative of each other.

There are 13 diamonds in a 52-card deck

so the probability to get a diamond is 13/52=1/4=0.25

Half the cards in a standard pack are black.

Therefore the probability of drawing a black card is 1/2.

Half the sides of a coin are "heads" so again the probability is 1/2.

Therefore the probability you will both draw a black card and flip heads = 1/2 * 1/2 = 1/4.

There are 13 diamonds. Three cards are dealt. The probability of all of them being diamond is (13/52)(12/51)(11/50) = 1716/132600 = 11/850

No, a probability is a number between 0 (included) and 1 (included)

The probability is 1.

It is always raining - any time of the day or night, any day of the year - somewhere on Earth.

A number of trials, each of which has only two outcomes: these are usually termed "success" and "failure". The trials must be independent and the probability of success must remain constant.

8 numbers in total, 4 of those numbers are odd (1, 7, 5 and 3)

so 4/8

= 1/2

aka 50%, 0.5

120

There are 7 days in a week. One of those is Sunday. Therefore the probability at any given time that tomorrow will be Sunday is 1/7.

It means that the probability density function is symmetric about 0.

It will not. For the interval (x, x+dx) it may well give a non-zero probability.

With a continuous distribution, the probability of any particular value is always 0. What the probability density function gives is the probability that the variable is NEAR the selected value.

Z scores are used for standardized testing done by most school districts.

It is the most common way of standardizing data. IQ scores can be standardized using z scores. The mean is 100 and the standard deviation is 15.

You use the t score when the sample is small, <30 often. Many behavior ratings use t scores.

The null hypothesis could be that the 40 students are a sample from the same (or similar) population.

Because the number cube is not sentient enough to know the result of the spinner and modify its own outcome accordingly. And conversely, the outcome of the spinner is not affected by the roll of the cube.

There are (4*3)*(6*5*4*3*2*1) = 8640 ways.

4!(factorial) or 4x3x2x1 OR 24