Dorothy Little purchased a mailing list of 4,000 names and addresses for her mail order business, but after scanning the list she doubts the authenticity of the list. She randomly selects eight names from the list for validation. If 30% of the names on the list are non-authentic, and x is the number of non-authentic names in her sample, P( x < 2) is .

The probability that in a sample of 8 names less than 2 are non-authentic is 0.26

Step-by-step explanation:

The random variable X is defined as the number of non-authentic names on the list.

It is provided that the proportion of non-authentic names on the list is, p = 0.30.

Dorothy selects a random sample of size, n = 8.

The random variable X follows a Binomial distribution with parameters n = 8 and p = 0.30.

The probability mass function of a Binomial distribution is:

Compute the probability that in a sample of 8 names less than 2 are non-authentic as follows:

P (X < 2) = P(X = 0) + P (X = 1)

Thus, the probability that in a sample of 8 names less than 2 are non-authentic is 0.26.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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