Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person wi
1 answer:
Answer:
P(x=4) = 0.4
Step-by-step explanation:
The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.
f(x)= 1/ b-a a≤ x≤ b
Here a = 0 and b= 10 but we want to know the probability of wait time between 4 minutes and 10 minutes
P (X=x) = (x-a) 1/(b-a)
P(x=4) = (4-0) 1/ 10-0
= 4/10= 0.4
You might be interested in
Answer:
Study 1 Answers:
1) 0.76 represents the multiplier of the bacteria, in this case it is decreasing by 24% because the formula for exponential decay is 1 - r.
2) 1290 represents the initial value, or before the study began.
Study 2 Answers:
1) 1180 is the initial value, or before the study began.
2) Study 1 started with more bacteria
3) Study 1 is experiencing exponential decay, while study 2 is experiencing exponential growth
Step-by-step explanation:
Exponential functions are in the form , where a is the initial value, b is the multiplier, and x represents inputs, such as hours after a bacteria study.
Any multiplier above 1.00 is experiencing exponential growth, meaning it grows gradually over time, and any multiplier below 1.00 is experiencing exponential decay, meaning it decreases in population over time.
Answer:
General Formulas and Concepts:
<u>Algebra I</u>
Terms/Coefficients
- Expanding/Factoring
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Differentiate</u>
- Derivative Rule [Quotient Rule]:
- Basic Power Rule:
- Exponential Differentiation:
- Simplify:
- Rewrite:
- Factor:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation