Answer:
Area of Un-shaded Sector is 376.99
Step-by-step explanation:
From the information given, we can say:
Radius of Circle = 12 (Since KL is radius and KL = 12)
The sector of shaded area covers 60 degrees
Total circle is 360, so unshaded sector is:
360 - 60 = 300 degrees
So, to find Non-Shaded Sector Area, we use sector area formula:
Where
is the angle of the sector (in our case, it is 300)
So we substitute and find the answer:
The area is 376.99
Answer:
a) There is a 62.29% probability that at least one of the five does not have the Rh factor.
b) There is a 22.36% probability that at most four of the six have Rh+ blood.
c) There need to be at least 8 people to have the probability of obtaining blood from at least six Rh+ donors over 0.95.
Step-by-step explanation:
For each person donating blood, there are only two possible outcomes. Either they have Rh+ blood, or they do not. This means that 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 combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
.
a) fine the probability that at least one of the five does not have the Rh factor.
Either all six have the factor, or at least one of them do not. The sum of the probabilities of these events is decimal 1. So:
In which:
So
There is a 62.29% probability that at least one of the five does not have the Rh factor.
b) find the probability that at most four of the six have Rh+ blood.
Either more than four have Rh+ blood, or at most four have. So
In which
There is a 22.36% probability that at most four of the six have Rh+ blood.
c) The clinic needs six Rh+ donors on a certain day. How many people must donate blood to have the probability of obtaining blood from at least six Rh+ donors over 0.95?
With 6 donors:
37.71% probability of obtaining blood from at least six Rh+ donors over 0.95.
With 7 donors:
0.3771 + 0.3960 = 0.7764 = 77.64% probability of obtaining blood from at least six Rh+ donors over 0.95.
With 8 donors
0.3771 + 0.3960 + 0.2376 = 1.01 = 101% probability of obtaining blood from at least six Rh+ donors over 0.95.
There need to be at least 8 people to have the probability of obtaining blood from at least six Rh+ donors over 0.95.