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
How would I solve I need to know Asap and what is the answer
Elanso [62]

Answer:

A) 5

Step-by-step explanation:

distance = √(distance between x coordinates² + distance between y coordinates²)

the horizontal distance between the two points is 4

the vertical distance between the two points is 3

to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P

distance = √(4²+3²) = √25 = 5

8 0
2 years ago
Find the area of this shape.
ch4aika [34]
The top part of the shape is 8x6 and the bottom part is 6x6 so the answer is 84
3 0
3 years ago
By visual inspection determine the best fitting repression model for the scatterplot
Norma-Jean [14]

Answer:

exponential

Step-by-step explanation:

3 0
3 years ago
Which equation can be simplified to find the inverse of y = 5x² + 10?
notsponge [240]

Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

y-10 = 5 x^2       divide thru by 5

(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

± sqrt ((x-10)/5)   = y

6 0
1 year ago
Please answer all
vladimir1956 [14]

Step-by-step explanation:

b) y=x+1

table:

_x _|_2x_|_y_|(x, y)|

0     |2(0)  |1     |(0, 1)|

1      | 2(1)  |2    |(1, 2)|

2     | 2(2) |3    |(2, 3)|

3     | 2(3) |4    |(3, 4)|

c) y=3x+2

_x _|_2x_|_y_|(x, y)|

0     |2(0)  |2     |(0, 2)|

1      | 2(1)  |5    |(1, 5)|

2     | 2(2) |8    |(2, 8)|

3     | 2(3) |14   |(3, 14)|

To graph, plot the x, y points and connect all of them

7 0
2 years ago
Other questions:
  • PLEASE HELP ME PLEASE Yanna buys a shirt and a hat on sale for 40% off. If the price of the shirt before the sale was $28 and sh
    9·2 answers
  • The memory card on melcher did it's camera can hold about 430 pictures. Melcher used 18% of the memory card while taking picture
    14·2 answers
  • PLEASE HELP WILL MARK BRAINLIEST The price of an item has been reduced by 70%. The original price was $30. What is the price of
    10·2 answers
  • 28/36 reduced fraction
    12·2 answers
  • HELP ASAP!!! EASY POINTS!!!!
    9·1 answer
  • miguel joins a gym that has a 40$ membership fee and charges 22.50 per month.he also joins a martial art class that charges 16$
    8·1 answer
  • Do diagonals of a rhombus bisect the vertex angles???
    5·1 answer
  • Help me plz I need help
    6·1 answer
  • At the beginning of the month, Kim had $66.78. Since then, she received three payments of $33.50 from her babysitting job. Kim's
    15·1 answer
  • -4-6 answer now pls iwill mark yall brainliest
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!