Answer:
The probability that a randomly chosen person gets an incorrect diagnosis is 2.965% = 0.02965.
Step-by-step explanation:
Given, The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease.
so, probability of incorrect diagnosis = 100-98 = 2% = 0.02.
and 97% accurate for a person who does not have the disease.
so, probability of incorrect diagnosis = 100-97 = 3% = 0.03.
And 3.5% of the people in a given population actually have the disorder.
⇒ the probability that a randomly chosen person gets an incorrect diagnosis is (3.5% × 0.02) + (96.5% × 0.03) = 2.965% = 0.02965.
Answer:
11/43
Step-by-step explanation:
A local community college has 860 students
Out of this 860 students, 220students ride bikes
Therefore the fraction of bike riders to the number of students can be calculated as follows
= 220/860
= 11/43
N= number of books
7.50(n + 0.2)=189
multiply 7.50 by each term in parentheses
(7.50*n) + (7.50*0.2)= 189
7.50n + 1.5= 189
subtract both sides by 1.5
7.50n= 187.50
divide both sides by 7.50
n= 25
ANSWER: She ordered 25 books.
Hope this helps! :)
Answer:
The probability is 
Step-by-step explanation:
The probability of guessing correctly, P = 0.54
Probability of not guessing correctly, q = 1 – P
q = 1 – 0.54 = 0.46
Number of trials, n = 32
Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.
Below is the calculation using binomial distribution.
Title:
<h2>The revenue will be maximum for 253 passengers.</h2>
Step-by-step explanation:
Let, the number of passenger is x, which is more than 194.
In this case, the travel agency will charge [312 - (x - 194)] per passenger.
The total revenue will be ![x[312 - (x - 194)] = 506x - x^{2}](https://tex.z-dn.net/?f=x%5B312%20-%20%28x%20-%20194%29%5D%20%3D%20506x%20-%20x%5E%7B2%7D)
.
As x is the variable here, we can represent the revenue function by R(x). Hence, 
.
The revenue will be maximum when 
.
