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
Sedaia [141]
3 years ago
6

The Sky Ranch is a supplier of aircraft parts. Included in stock are 6 altimeters that are correctly calibrated and two that are

not. Three altimeters are randomly selected, one at a time, without replacement. Let the random variable x represent the number that are not correctly calibrated. Complete the probability distribution table; report probabilities accurate to 4 decimal places.
x 0 1 2 3
P (x)
Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Answer:

For x = 0, P(x = 0) = 0.35

For x = 1, P(x = 1) = 0.54

For x = 2, P(x = 2) = 0.11

For x = 3, P(x = 3) = 0

Step-by-step explanation:

We are given that the Sky Ranch is a supplier of aircraft parts. Included in stock are 6 altimeters that are correctly calibrated and two that are not. Three altimeters are randomly selected, one at a time, without replacement.

Let X = <u><em>the number that are not correctly calibrated.</em></u>

Number of altimeters that are correctly calibrated = 6

Number of altimeters that are not correctly calibrated = 2

Total number of altimeters = 6 + 2 = 8

(a) For x = 0: means there are 0 altimeters that are not correctly calibrated.

This means that all three selected altimeters are correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = ^{8}C_3

The number of ways of selecting 3 altimeters from a total of 6 altimeters that are correctly calibrated = ^{6}C_3

So, the required probability = \frac{^{6}C_3}{^{8}C_3}  

                                              = \frac{20}{56}  = <u>0.35</u>

(b) For x = 1: means there is 1 altimeter that is not correctly calibrated.

This means that from three selected altimeters; 1 is not correctly calibrated and 2 are correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = ^{8}C_3

The number of ways of selecting 2 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated = ^{6}C_2

The number of ways of selecting 1 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated = ^{2}C_1

So, the required probability = \frac{^{6}C_2 \times ^{2}C_1 }{^{8}C_3}  

                                                = \frac{30}{56}  = <u>0.54</u>

(c) For x = 2: means there is 2 altimeter that is not correctly calibrated.

This means that from three selected altimeters; 2 are not correctly calibrated and 1 is correctly calibrated.

Total number of ways of selecting 3 altimeters from a total of 8 = ^{8}C_3

The number of ways of selecting 1 correctly calibrated altimeters from a total of 6 altimeters that are correctly calibrated = ^{6}C_1

The number of ways of selecting 2 not correctly calibrated altimeters from a total of 2 altimeters that are not correctly calibrated = ^{2}C_2

So, the required probability = \frac{^{6}C_1 \times ^{2}C_2 }{^{8}C_3}  

                                                = \frac{6}{56}  = <u>0.11</u>

(d) For x = 3: means there is 3 altimeter that is not correctly calibrated.

This case is not possible, so this probability is 0.

You might be interested in
Need help immediately​
vekshin1
The answer is 6*square rooted*2
3 0
3 years ago
-0.5(x + 0.3) – 0.2x = 4.1
lys-0071 [83]

Answer:

x=-8

Step-by-step explanation:

I always change the decimals into whole numbers by multiplying them by 10.  If you do this, it is much easier to solve.  All you do is multiply every term by 10.

the equation changes to

-5(x+3)-2x=41

-5x-15-2x=41

combine like terms

-7x-15=41

bring the 15 over to the 41

-7x=56

divide everything by 7

-x=8

change x to a positive

x=-8

3 0
3 years ago
A bank account has a beginning of 560.00. After 6 months, the balance in the account has increased to 572.60. What interest rate
MaRussiya [10]

This is tricky because we are given the interest rate for the year but the problem is figureing the interest for 6 months or 1/2 year. We will have to double the difference before solving for the yearly interest.

572.60 - 560.00 = 12.60 interest added for 6 months x 2 = 25.20 for 12 months

(This problem assumes the interest will stay the same the next 6 months)

We need to find what percent 25.20 is to our original balance.

25.20/560 = x / 100

2520 = 560x

x = 4.5 percent interest

Check .045 x 560.00 = 25.20 interest in one year (or 12.60 in 6 months)

4 0
3 years ago
Find the 3rd term in the expansion of (a+b)^8 in simplest form.
Art [367]

Answer:

The fifth term is the middle term of nine, with coefficient given by all the ways of choosing  4  items out of  8 , namely the ways of choosing  4   a 's out of  8  binomial factors.

Step-by-step explanation:

4 0
3 years ago
In 3 years, a gyms membership went up from 6,400 to 8,400. Which expression shows how to find the percent of increase (A) 2,000/
deff fn [24]

Answer:

B. 2000/6400

Step-by-step explanation:

Percent increase is told by the attached formula.

Plugging it in, you get 2000/6400.

6 0
3 years ago
Other questions:
  • A worker can assemble 3 shelf units each hour. During the fifth hour of the shift, there were 115 shelf units in the warehouse.
    6·1 answer
  • Simplify:<br> 8+(-13)-18=
    10·2 answers
  • Andy sells homemade loaves of bread. He offers a discount to customers who purchase more than one loaf. The expression below rep
    7·2 answers
  • Jesse earns $3 each time he walks a dog. Last Monday and Tuesday, he earned a total of $45. He walked 8 dogs on Tuesday. How man
    13·2 answers
  • Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students
    5·1 answer
  • Which of the following values are in the range of the function graphed below?
    8·1 answer
  • What's the work and answer for this problem with the Pythagorean theorem
    9·2 answers
  • 5/6 + (-4/9)-(-2) ??????
    14·2 answers
  • Find the measure of the acute angles pls help
    8·1 answer
  • Solve for t.<br> 3t- 2 = -11<br> A. -12<br> B. -11<br> C. -9<br> D.-3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!