A survey question revealed that at a particular college 87 percent of students worked at least sometime during their undergradua
1 answer:
Answer:
The correct option is A. 198 degrees
Step-by-step explanation:
Consider the provided information.
87 percent of students worked at least sometime during their undergraduate career and 13 percent did not work at all.
Another question showed that 32 percent of the students worked throughout their undergraduate career.
87 percent of the students worked at least sometime during the college. Out of them 32% worked throughout the college.
Therefore, the students who worked sometime during their undergraduate career, but not throughout are:
(87-32)% = 55% .
As we know the angle measure in circle is 360 degrees.
55% of 360° is:
Hence, the measure of central angle would be 198 degrees
Therefore, the correct option is A. 198 degrees
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Answer:
15.24% probability that at least 2 will still stand after 35 years
Step-by-step explanation:
To solve this question, we need to understand the binomial distribution and the exponential distribution.
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.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
In which is the decay parameter.
The probability that x is lower or equal to a is given by:
Which has the following solution:
The probability of finding a value higher than x is:
Probability of a single tower being standing after 35 years:
Single tower, so exponential.
Mean of 25 years, so
We have to find
What is the probability that at least 2 will still stand after 35 years?
Now binomial.
Each tower has a 0.2466 probability of being standing after 35 years, so
3 towers, so
We have to find:
In which
15.24% probability that at least 2 will still stand after 35 years