5/8 of the staff are male 5/12 of the staff works part time at the aquarium what is the fraction of the staff being female
2 answers:
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Answer:
Probability that the sample contains at least five Roman Catholics = 0.995 .
Step-by-step explanation:
We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.
The Binomial distribution probability is given by;
P(X = r) = for x = 0,1,2,3,.......
Here, n = number of trials which is 8 in our case
r = no. of success which is at least 5 in our case
p = probability of success which is probability of Roman Catholic of
0.90 in our case
So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)
=
= 56 * + 28 *
+ 8 *
+ 1 *
= 0.995
Therefore, probability that the sample contains at least five Roman Catholics is 0.995.
The area of the cross section of the column is
Explanation:
Given that a building engineer analyzes a concrete column with a circular cross section.
Also, given that the circumference of the column is meters.
We need to determine the area of the cross section of the column.
The area of the cross section of the column can be determined using the formula,
First, we shall determine the value of the radius r.
Since, given that circumference is meters.
We have,
Thus, the radius is
Now, substituting the value in the formula
, we get,
Thus, the area of the cross section of the column is