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Jill has 2 black, 4 blue, 1 yellow, 2 orange, and 3 purple crayons in a bag. Without looking she pulls out a crayon. What is the
1 answer:
Answer:
1/6
Step-by-step explanation:
Number of orange crayons = 2
Total number of crayons = 2 + 4 + 1 + 2 + 3 = 12
Probability is calculated as:
Here the favorable or desired outcome is picking up an orange crayon. So number of favorable outcomes will be 2 as 2 orange crayons are available.
Total number of outcomes is 12 which is the sum of all the crayons available.
So, the probability the crayon she pulls out will be orange =
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Using the z-distribution, it is found that a sample size of 3,385 is required.
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
The margin of error is:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
In this problem, we have a 98% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 2.327.
We have no prior estimate, hence is used, which is when the largest sample size is needed. To find the sample size, we solve the margin of error expression for n when M = 0.02, hence:
n = 3,385.
A sample size of 3,385 is required.
More can be learned about the z-distribution at brainly.com/question/25890103
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