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
SCORPION-xisa [38]
3 years ago
14

Suppose a brand of light bulbs is normally​ distributed, with a mean life of 1300 hr and a standard deviation of 50 hr. Find the

probability that a light bulb of that brand lasts between 1225 hr and 1365 hr.
Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

Since the life of the brand of light bulbs is normally​ distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = life of the brand of lightbulbs

u = mean life

s = standard deviation

From the information given,

u = 1300 hrs

s = 50 hrs

We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as

P(1225 ≤ x ≤ 1365)

For x = 1225,

z = (1225 - 1300)/50 = - 1.5

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

0.06681

For x = 1365,

z = (1365 - 1300)/50 = 1.3

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

0.9032

Therefore

P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364

You might be interested in
Where does (2,4) lie on the quadrant <br> plane
AfilCa [17]

Answer:

2 quadrant

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Alfonso solved a division problem by drawing an area model . a. Look at the area model . What division problem did Alfonso solve
r-ruslan [8.4K]

Answer:

The answer is "\frac{72}{4} =18".

Step-by-step explanation:

Given value:

4 40 32

Solution:

{\boxed{4\ \boxed{40} \ \boxed{32}}}

If we divide the value by 4 it will give 10 and 8.

\to \frac{40}{ 4} = 10\\\\\to \frac{32}{ 4} = 8\\

If we add the boxed value it will be equal to 72 and divide the value by 4 it will give a value 18.

\to 40+32 =72\\\\\to \frac{72}{4}=18

8 0
2 years ago
Freida drove 20 miles in 24 minutes. At this rate how many miles did she drive in 6 minutes?
marissa [1.9K]
Freida drove 5 miles!
8 0
3 years ago
If Alina had 1 dollar gave her friend 1/4 how much money does Alina have now ?????
podryga [215]

Answer:

.75

Step-by-step explanation:

1/4 OF 1 IS 25. 1.00-.25 IS .75.

8 0
3 years ago
Read 2 more answers
What does the linear inequality y ≥ −x − 3 look like?
kupik [55]
It is a line that divides the space into two.. The line is y=-x-3
8 0
3 years ago
Other questions:
  • About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum?
    13·1 answer
  • Mrs.Traynor's class is taking a field trip to the zoo.The trip cost $26 for each student.There are 22 students in her class.
    6·1 answer
  • the big town football team outscored its opponents 5:2 last season. if their opponents scored 38 points, how many points did big
    9·2 answers
  • 0.01 is...........0.01
    13·1 answer
  • HELPP! Brainliest is rewarded!
    14·2 answers
  • Archie earns $6 each week for doing his chores. He puts all but $2 into a savings account. How much money will Archie save in 2
    13·2 answers
  • What is the range of the function f(x)=12-3x for the domain (-4,-2,0,2,4)
    9·1 answer
  • Find the volume of the following. Round to nearest hundredths place:
    7·1 answer
  • rew wants to build a square sandbox with an area of 324 square feet. What is the total length of wood Drew needs to make the sid
    9·1 answer
  • A coat usually sells for $62.95. It is on sale for 10% off.<br> What is the sale price?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!