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1 answer:
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Answer:
0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year
Step-by-step explanation:
For each employee, there are only two possible outcomes. Either they survive the first year, or they do not. The probability of an employee surviving the first year is independent of other employees. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A San Francisco-based tech firm is able to keep 80% of its new employees after one year.
This means that
Q1. What is the chance that two randomly sampled new employees will both be able to survive their first year
This is P(X = 2) when n = 2. So
0.64 = 64% probability that two randomly sampled new employees will both be able to survive their first year
Answer:
The length of the sides of the square is approximately 11.239 centimeters.
Step-by-step explanation:
Since the circle is inscribed in the square, the length of each side of the square (), in centimeters, is equal to the length of the diameter of the circle (
), in centimeters. The area of the circle (
), in square centimeters:
(1)
Where is the diameter of the circle, in centimeters.
If we know that , then the length of the sides of the square is:
The length of the sides of the square is approximately 11.239 centimeters.