A would be the correct answer.
Binomial distribution will be used to know the probability that the total weight of the samples will exceed 530 pounds.
It is given that the rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds.
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.
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Solving:
-7 + y = 3 + 2y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-7 + y + -2y = 3 + 2y + -2y
Combine like terms: y + -2y = -1y
-7 + -1y = 3 + 2y + -2y
Combine like terms: 2y + -2y = 0
-7 + -1y = 3 + 0
-7 + -1y = 3
Add '7' to each side of the equation.
-7 + 7 + -1y = 3 + 7
Combine like terms: -7 + 7 = 0
0 + -1y = 3 + 7
-1y = 3 + 7
Combine like terms: 3 + 7 = 10
-1y = 10
Divide each side by '-1'.
y = -10
Hope it helps. (:
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