Seventy percent of light aircraft that disappear while in flight in a certain country are subsequently
discovered. Of the aircraft that are discovered, 60% have an emergency locator, whereas 90% of the
aircraft not discovered do not have an emergency locator. Suppose that a light aircraft has disappeared.
a) If it has an emergency locator, what is the probability that it will not be discovered?
b) If it does not have an emergency locator, what is the probability that it will be discovered?
c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is
the probability that 7 of them are discovered?

Part a

Therefore, the probability that it will not be discovered given that it has an emergency locator is 0.067.

Part b

Therefore, the probability that it will be discovered given that it does not have an emergency locator is 0.509.

Part c

The probability that 7 of them are discovered is 0.215.

Step-by-step explanation:

(a)

Define the events to find the probabilities.

Let

Locator

Discovered

And,

No Locator

Not discovered

The known probabilities are,

P(D)=0.7

P(D) =1-P(D)

= 1-0.7

= 0.3

P(LD)=0.6

P(L|D)=1-P(LD)

=1-0.6

= 0.4

P(L|D) =0.9

P(L|D)=1-P(L|D)

=1-0.9

= 0.1

Also,

P(DOL)=P(L|D)P(D)

= (0.7)(0.6)

= 0.42

P(DO L) = P(L|D)P(D)

= (0.4)(0.7)

= 0.28

P(DOL)= P(L|D)P(D)

= (0.1)(0.3)

= 0.03

P(Dn L) = P(L|D)P(D)

= (0.9)(0.3)

= 0.27

And,

P(L)=P(DOL)+P(DOL)

= 0.42+0.03

= 0.45

P(L) =1-P(L)

= 1-0.45

= 0.55

The probability that it will not be discovered given that it has an emergency locator is,

P(DL)- P(DOL)

P(L)

0.03

0.45

= 0.067

Part a

Therefore, the probability that it will not be discovered given that it has an emergency locator is 0.067.

Explanation | Hint for next step

Using the definition of a conditional probability, the probability that it will not be discovered given that it has an emergency locator is 0.067.

Step 2 of 3

(b)

The probability that it will be discovered given that it does not have an emergency locator is,

P(D|L) - P(DOL)

P(L)

0.03

0.55

= 0.509

Part b

Therefore, the probability that it will be discovered given that it does not have an emergency locator is 0.509.

Explanation | Hint for next step

Using the definition of a conditional probability, the probability that it will be discovered given that it does not have an emergency locator is 0.509.

Step 3 of 3

(c)

Let X be the number of aircrafts discovered.

Given that of the aircraft that are discovered, 60% have an emergency locator

Let the probability of success bep=0.60

.

The probability that 7 of them are discovered is,

P(X= 7+(19)10.00*(1-0.60)

= 0.215

Part c

The probability that 7 of them are discovered is 0.215.

Explanation

Using the binomial probability law, the probability that 7 of them are discovered is 0.

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation: