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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Answer:
b. The slope of the line
Step-by-step explanation:
To explain the question statement, first we view the pattern of regression of equation which is
Y=a+bx
Where Y is dependent variable and x is an independent variable.
a represents the Y-intercept and depicts the value of dependent variable y when independent variable x=0. b represents the slope in the regression equation and interpreted as unit change in dependent variable Y due to unit change in independent variable X.
Answer:
The probability that you get zero questions correct is 0.4096
The probability that you get one questions correct is 0.4096
The probability that you get three questions correct is 0.0256
Step-by-step explanation:
These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:
Where x is the variable that says the number of success in the n situations
And nCx is calculate as:
From the question we can identify that:
- n is equal to 4 multiple choice question
- p is 1/5 or 0.2, the probability of get one question correct
- q is 4/5 or 0.8, the probability of get one question incorrect
Then the probability of get zero questions correct of 4 questions is:
The probability of get one question correct of 4 questions is:
The probability of get three questions correct of 4 questions is:
Answer:
2/9 is the correct option.
Step-by-step explanation:
As the spinner is numbered 2, 4 and 5
The general formula for probability :
P(A) = n(A) / n(S)
n(S) is the number of whole states occur in two spins which is 3 × 3 = 9
n(A) is the event that Rico will get a product of 20.
n(A) = 2 ∵ 4 × 5 and 5 × 4 will bring the product 20.
Therefor, the probability that Rico will get a product of 20 when Rico spins the spinner twice will be:
P(A) = n(A) / n(S)
= 2/9
Therefore, 2/9 is the correct option.
Answer:
5x + 10y = 90
Step-by-step explanation:
X is the number of times she takes the 5 mile, so the total distance would be 5x. Y is the number of times she takes the 10 mile, so the total distance would be 10y. And together they equal 90 miles, so 5x + 10y =90. Hope this helps.
