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
almond37 [142]
3 years ago
8

The monthly worldwide average number of airplane crashes of commercial airlines is 3.5. What is the probabil- ity that there wil

l be (a) at least 2 such accidents in the next month; (b) at most 1 accident in the next month
Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

Step-by-step explanation:

We would apply the formula for poisson distribution which is expressed as

P(x = r) = (e^- µ × µ^r)/r!

Where

µ represents the mean of the theoretical distribution.

r represents the number of successes of the event.

From the information given,

µ = 3.5

a)

For the probability that there will be at least 2 such accidents in the next month, it is expressed as

P(x ≥ 2) = 1 - P(x < 2)

P(x < 2) = P(x = 0) + P(x = 1)

Therefore,

P(x = 0) = (e^- 3.5 × 3.5^0)/0!

P(x = 0) = (e^- 3.5 × 1)/1

P(x = 0) = 0.03

P(x = 1) = (e^- 3.5 × 3.5^1)/1!

P(x = 1) = (e^- 3.5 × 3.5)/1

P(x = 1) = 0.11

P(x < 2) = P(x = 0) + P(x = 1) = 0.03 + 0.11 = 0.14

P(x ≥ 2) = 1 - 0.14 = 0.86

b)

For the probability that there will be at most 1 accident in the next month, it is expressed as

P(x ≤ 1) = P(x = 0) + P(x = 1)

P(x = 0) = 0.03

P(x = 1) = 0.11

P(x ≤ 1) = 0.03 + 0.11 = 0.14

You might be interested in
Marty and Stewart are stuffing envelopes with index cards. They are putting x index cards in each envelope. When they are finish
Yanka [14]

Abac then in the other century there was a lot of killings

Step-by-step explanation:

4 0
2 years ago
Alana biked 45 miles in 3 hours. How many miles did she bike per hour?
krok68 [10]
15 miles per hour.
Divide the number of miles by the number of hours to get the miles per hour.
5 0
3 years ago
Find the perimeter of the triangle.
ch4aika [34]

Answer:

3x +2x-5+(-7x+8)=

-2x+3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
2x-9&lt;-1 pleassssssse help me​
e-lub [12.9K]

Answer:

x <4

Step-by-step explanation:

2x-9<-1

Add 9 to each side

2x-9+9<-1+9

2x < 8

Divide each side by 2

2x/2 < 8/2

x <4

5 0
3 years ago
Solve the system of equations using subtraction. <br> 2x - 4y = - 12 <br>2x + y = 13​
alisha [4.7K]
First can you change
2x + y = -12
To have y as the subject

Looks like y = ???
7 0
2 years ago
Other questions:
  • Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transfor
    15·2 answers
  • The expression x+3/2x-8 is undefined when x=____?
    7·2 answers
  • Find the product, -7/9 × 3/5, -2/5 × -1 1/4, 1 3/4 × -1 1/4, 1 3/4 × -3/4, -7/8 × -1 3/7, answer all please and thank you
    10·1 answer
  • water drips from a faucet at a rate of 41 drops/ minute. Assuming there are 15,000 drops in gallon, how many minutes would it ta
    9·2 answers
  • 1. You and your friend are splitting a restaurant bill and leaving a tip. You pay half of the bill plus $5. Your friend pays hal
    15·1 answer
  • Quadrilateral ABCD is a parallelogram. If the measure of angle A is 62 degrees and the measure of angle ADB is 75 degrees, what
    8·1 answer
  • Find the roots of x^4-6x^2+8
    12·1 answer
  • Mr. Smith drove for 45 minutes at a speed of 40 km/h. He stopped for 15 minutes for a coffee break and then he drove for 2 hours
    9·1 answer
  • One factor of 8x^3+1 is 2x+1 The other factor is?
    6·1 answer
  • La linea punteada en la figura muestra un corte realizado a un triángulo. El corte es Paralelo A La Base Y Se Corta Por La Mitad
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!