Answer:
1.967 × 10⁻¹¹
Step-by-step explanation:
This is a conditional probability problem
Probability that a 12 year old leaf blower works for 5 more years = Probabilty that a leaf blower works for 17 years, given that it has worked for 12 years = P(17|12)
P(17|12) = P(17 n 12)/P(12)
P(17 n 12) = P(17)
Exponential random variable is given as
f(x) = λ e^(-λ.x)
λ = rate parameter = 5 years per blower
x = variable whose probability is required = 17
f(17) = 17 e^(-5×17)
f(17) = 17 e⁻⁸⁵ = 2.067 × 10⁻³⁶
f(12) = 12 e^(-5×12)
f(12) = 12 e⁻⁶⁰ = 1.051 × 10⁻²⁵
P(17|12) = (2.067 × 10⁻³⁶)/(1.051 × 10⁻²⁵)
P(17|12) = 1.967 × 10⁻¹¹
2/3 ÷ 4 = 2/3 * 1/4 = 2/12 = 1/6
Answer:
a) 47.55
b) 58
c) 47.88
Step-by-step explanation:
Given that the size of the orders is uniformly distributed over the interval
$25 ( a ) to $80 ( b )
<u>a) Determine the value for the first order size generated based on 0.41</u>
parameter for normal distribution is given as ; a = 25, b = 80
size/value of order = a + random number ( b - a )
= 25 + 0.41 ( 80 - 25 )
= 47.55
<u>b) Value of the last order generated based on random number (0.6)</u>
= a + random number ( b - a )
= 25 + 0.6 ( 80 - 25 )
= 25 + 33 = 58
<u>c) Average order size </u>
= ∑ order 1 + order 2 + ----- + order 10 ) / 10
= (47.55 + ...... + 58 ) / 10
= 478.8 / 10 = 47.88
Answer:
y = -4/5x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation in slope-intercept form
5y = -35 - 4x
y = -7 - 4/5x
Step 2: Write parallel line equation
y = -4/5x + 5
A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.
