A bag holds 6 green, 9 red and 4 blue marbles a marble is selected at random what is the probability of not selecting a red marb
2 answers:
Answer:
The probability of not selecting a red marble, P(R)' = 10/19
Step-by-step explanation:
The probability of an event occurring is equal to the number of ways the required event occurs divided by the number of possible outcomes
The number of ways of an event not occurring is 1 less the probability of the event occurring
The number of green marbles in the bag = 6
The number of red marbles in the bag = 9
The number of blue marbles in the bag = 4
The sum of the marbles in the bag, n = 6 + 9 + 4 = 19
The number of ways of selecting a red marble = 9 ways
The probability of selecting a red marble = 9 ways/19 marbles = 9/19
The probability of not selecting a red marble = 1 - 9/19 = 10/19 =
The probability of not selecting a red marble P(R)' = 10/19
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The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The amounts (in ounces) of randomly selected eight 16-ounce beverage cans are given below.
16.5, 15.2, 15.4, 15.1, 15.3, 15.4, 16, 15.1
Assume that the amount of beverage in a randomly selected 16-ounce beverage can has a normal distribution. Compute a 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans and fill in the blanks appropriately.
A 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is ( , ) ounces. (round to 3 decimal places)
Answer:
Therefore, the 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (14.886, 16.113) ounces.
Step-by-step explanation:
Let us find out the mean amount of the 16-ounce beverage cans from the given data.
Using Excel,
=AVERAGE(number1, number2,....)
The mean is found to be
Let us find out the standard deviation of the 16-ounce beverage cans from the given data.
Using Excel,
=STDEV(number1, number2,....)
The standard deviation is found to be
The confidence interval is given by
Where is the sample mean and Margin of error is given by
Where n is the sample size, s is the sample standard deviation and is the t-score corresponding to a 99% confidence level.
The t-score corresponding to a 99% confidence level is
Significance level = α = 1 - 0.99 = 0.01/2 = 0.005
Degree of freedom = n - 1 = 8 - 1 = 7
From the t-table at α = 0.005 and DoF = 7
t-score = 3.4994
So the required 99% confidence interval is
Therefore, the 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (14.886, 16.113) ounces.
