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Answer:
22.60% probability that exactly 3 people are repeat offenders
Step-by-step explanation:
For each driver arrested selected, there are only two possible outcomes. Either they are repeat offenders, or they are not. The probability of an arrested driver being a repeat offender is independent from other arrested drivers. So we use the binomial probability distribution to solve this problem.
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.
In Illinois, 9% of all drivers arrested for DUI (Driving Under the Influence) are repeat offenders;
This means that
Suppose 28 people arrested for DUI in Illinois are selected at random.
This means that
a) What is the probability that exactly 3 people are repeat offenders
This is
22.60% probability that exactly 3 people are repeat offenders
Answer:
Step-by-step explanation:
Given:
AC = 5
BC = 6
DB = 4.2
∠ACD ≅ ∠BCD
AD =
∵ ∠ACD ≅ ∠BCD
∴ CD is the angle Bisector of ∠ ACB
We know that, from angle bisector theorem that,
The angle bisector of an interior angle of a triangle divides the opposite side in two segments such that the two segments are proportional to the other two sides of the same triangle.
Therefore, the sides that are in proportion are given as:
Substituting the given values we get:
Therefore, the value of is 3.5.