1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sveta_85 [38]
2 years ago
12

The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a

standard deviation of 1 minute. For about what percent of emergencies does the fire department arrive at the scene in between 4 minutes and 8 minutes ?
Mathematics
1 answer:
Kitty [74]2 years ago
8 0

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

You might be interested in
The difference of a rational number and an irrational number is _[blank]_ a rational number.
balu736 [363]
Never a rational number
8 0
2 years ago
Read 2 more answers
Help plzz! True or False? <br> -15 is a solution for -8x = 125
dmitriy555 [2]

Answer:

false, it doesn't equal 125

4 0
3 years ago
Read 2 more answers
Which figure does not appear to be congruent to the figure shown?
Artemon [7]
C im pretty sure thats it
8 0
3 years ago
For the animal shelter, Elena Nppurchased
Naddik [55]

Elena's total cost (C) is 5(9.98 + 24.99 + x)

Since each dog leashes cost $9.98, each bag of dog food cost $24.99 and each crate of egg cost $x, hence:

Total cost (C) = 5 * $9.98 + (5 * 24.99) + (5 * x)

C = 5(9.98 + 24.99 + x)

Therefore Elena's total cost (C) is 5(9.98 + 24.99 + x)

Find out more at: brainly.com/question/21105092

6 0
2 years ago
Ya'll help me w/slope, please
uranmaximum [27]

I got ECHA... hope it's right:)

4 0
2 years ago
Other questions:
  • Reciprocal parent function, F(x) = , right 4 units
    12·2 answers
  • For each fraction if you multiply both the numerator and the denominator by the same number is the resulting fraction equivalent
    12·1 answer
  • The variable Z is directly proportional to X, and inversely proportional to Y. When X is 10 and Y is 4, Z has the value 47.5.
    6·1 answer
  • The number line below represents which combined inequality?
    9·2 answers
  • 2.5 pounds of mangoes costs $10. How much does one pound cost?
    9·2 answers
  • Question 1. Determine whether the vectors u and v are parallel, orthogonal, or neither. u = &lt;10, 6&gt;, v = &lt;9, 5&gt;? Que
    15·1 answer
  • Can someone answer this and plz dont tell me HOW just the answer thx
    10·2 answers
  • Simplify 9(8x - 9) + 13x
    6·2 answers
  • The sum of two numbers is 5. One of the numbers is 9 less than the other number.
    7·1 answer
  • 9 pls pls pls help meeee!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!