The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5
<u>Given data :</u>
Mean value of gasoline per hour = 875 gallons
Standard deviation = 55 gallons
<h3>Determine the probability of demand being greater than 1800 gallons over 2 hours </h3>
Demand for gas in 1 hour = X₁
Demand for gas in 2 hours = X₁ + X₂
Therefore ; ( X₁ + X₂) ~ N ( u₁+u₂, sd₁² + sd₂² )
In order to calculate probabilities for normals apply the equation below
Z = ( X- u ) / sd
where : u = 1800, sd = √ ( 55² + 55² ) = 77.78
using the z-table
P( Y > 1800) = P( Z > ( 1800 - 1800 ) / 77.78)
= P( Z>0 ) = 0.5
Hence we can conclude that The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5.
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Answer:
A) 200 units
Explanation:
mean daily demand = 20 calculators
standard deviation = 4 calculators
lead time = 9 days
z-critical value (for 95% in-stock probability) = 1.96
normal consumption during lead-time:
= mean demand × lead time
= 20 × 9
= 180 calculators
safety stock = z × SD × √L
= 1.96 × 4 × √9
= 1.96 × 4 × 3
= 23.52 calculators
reorder point = normal consumption + safety stock
= 180 + 23.52
= 203.52 calculators
I believe the answer is preparing a list of vegetables to purchase. That’s the only option that makes sense with his job.
The degree of risk is associated with the probability or magnitude of loss. The given statement is true.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
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Answer:
$1,282.80
Explanation:
The PMT formula is used for this question. The attachment is shown below:
The NPER shows the time period
Given that,
Present value = $300,000 - $30000 = $270,000
Future value = $0
Rate of interest = 4% ÷ 12 months = 0.33%
NPER = 30 years × 12 months = 360 months
The formula is shown below:
= PMT(Rate;NPER;-PV;FV;type)
The present value come in negative
So, after solving this, the answer is $1,282.80
