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
Sophie [7]
3 years ago
11

Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day

is distributed normally. Find the probability that a truck drives between 132 and 159 miles in a day.
Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : \mu=110\text{ miles per day}

Standard deviation :  \sigma=38\text{ miles per day}

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 132 miles per day.

z=\dfrac{132-110}{38}\approx0.58

For x= 159 miles per day.

z=\dfrac{159-110}{38}\approx1.29

Now by using standard normal distribution table, the  probability that a truck drives between 132 and 159 miles in a day will be :-

P(132

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

You might be interested in
The human resources manager at a company records the length, in hours, of one shift at work, X. He crests the probability distri
Ahat [919]
Hello!

The words at least means that the worker needs to work 8, 9 or 10 hours. We can add probabilities, so we will add .6 (for those working 8 hours), .15 (for those working 9 hours) and .08 (for those working 10 hours) to get a total probability of .83.
Hope this helps!
5 0
3 years ago
Determine whether the following events are mutually exclusive:
Harman [31]

Answer:

non mutually exclusive event

Step-by-step explanation:

im not sure on this tho

3 0
3 years ago
Read 2 more answers
Worth 10 points pls help
Olenka [21]
What subject is this
3 0
2 years ago
Please put a picture
cupoosta [38]
Hope this helps you with your questions.

8 0
3 years ago
Margie needs to know the square footage for the first floor of the condo her client wants to make an offer on. The kitchen is 10
rodikova [14]

Answer: the total square footage is

850 ft³

Step-by-step explanation:

The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be

10 × 15 = 150 ft³

The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be

20 × 25 = 500 ft³

The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be

10 × 10 = 100 ft³

Also, the volume of the sunroom would be

10 × 10 = 100 ft³

Therefore, the total square footage is

150 + 500 + 100 + 100 = 850 ft³

3 0
3 years ago
Other questions:
  • How to find resistance
    11·1 answer
  • Use the distributive property to rewrite the following expression.
    13·2 answers
  • SbhxhdhdhdhdrjjddbcbfbdbbzxvCasszvsvdbhrhdbfnfbrhudhtbthrh help me
    13·1 answer
  • A database system assigns a 32-character ID to each record, where each character is either a number from 0 to 9 or a letter from
    9·1 answer
  • Which of the following correlation values represents a perfect linear relationship between two quantitative
    8·1 answer
  • What is 240 more than 100
    9·2 answers
  • Factor the expression using the GCF. 76d-24=
    11·1 answer
  • Of the students in the band, 1/6 play the flute and another 1/6 play the clarinet. What fraction of the students in the band pla
    10·1 answer
  • What is the slope of the line that passes through the points
    12·1 answer
  • Simplify 10 times the square root of quantity 2 y end quantity plus 5 times the square root of quantity 2 y end quantity plus 3
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!