square. The opposite angles are equal, the diagonals intersect at midpoint, opposite sides remain parallel, and the diagonals bisect the angles.
Let the events be defined as follows:
A=Nathan suffers from an allergy
~A=Nathan does not suffer from an allergy
T=Nathan receives a positive test result
~T=Nathan does not receive a positive test result
According to the provided data,
P(A)=0.75 [ probability indicating that Nathan is allergic ]
P(T|A)=0.98 [ probability of obtaining a positive test result if Nathan is allergic to Penicillin]
We aim to calculate the probability that Nathan is both allergic and tests positive
P(T n A)
Using the definition of conditional probability,
P(T|A)=P(T n A)/P(A)
By substituting the known values,
0.98 = P(T n A) / 0.75
We then solve for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this assists you!!
The average years of employment is 14
with 73% having worked for at least 10 years.
To find the mean, add up the years of service and divide by the number of employees. The total years worked is 417, so the formula yields:
average years worked = 417/30 = 13.9, rounded to approximately 14 years.
To determine the percentage of employees with ten or more years, count those with 10 or more years and divide by the total employee count, converting the result into a percentage:
(10 years or over)/(total number) = 22/30 = 0.73 repeating, which approximates to 73%.
Using a spreadsheet tool can make this calculation simpler, as it can quickly compute the average and help tally how many employees have worked for 10 years or more.
