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
mel-nik [20]
3 years ago
11

A civil engineer is studying a left-turn lane that is long enough to hold seven cars. Let X be the number of cars in the line at

the end of a randomly chosen red light. The engineer believes that the probability that X = x is proportional to (x + 1)(8 − x) for x = 0, . . . , 7 (the possible values of X), i.e. P(X = x) = ( C(x + 1)(8 − x) for x = 0, 1, . . . , 7 0 otherwise 1. Determine the value of C. 2. Find the probability that X will be at least 5.

Engineering
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

a) C= 1/120

b) P(X>=5) = 0.333

Explanation:

The attached file contains the explanation for the answers

notka56 [123]3 years ago
7 0

Answer:

A) C = 1/120

B) P( x ≥ 5) = 1/3

Explanation:

I've attached explanations to this.

You might be interested in
There are three options for heating a particular house: a. Gas: $1.33/therm where 1 therm=105,500 kJ b. Electric Resistance: $0.
sergejj [24]

Answer:

Option ‘a’ is the cheapest for this house.

Explanation:

Cheapest method of heating must have least cost per kj of energy. So, convert all the energy in the same unit (say kj) and take select the cheapest method to heat the house.

Given:

Three methods are given to heat a particular house are as follows:

Method (a)

Through Gas, this gives energy of amount $1.33/therm.

Method (b)

Through electric resistance, this gives energy of amount $0.12/KWh.

Method (c)

Through oil, this gives energy of amount $2.30/gallon.

Calculation:

Step1

Change therm to kj in method ‘a’ as follows:

C_{1}=\frac{\$ 1.33}{therm}\times(\frac{1therm}{105500kj})

C_{1}=1.2606\times10^{-5} $/kj.

Step2

Change kWh to kj in method ‘b’ as follows:

C_{2}=\frac{\$ 0.12}{kWh}\times(\frac{1 kWh }{3600kj})

C_{2}=3.334\times10^{-5} $/kj.

Step3

Change kWh to kj in method ‘c’ as follows:

C_{3}=\frac{\$ 2.30}{gallon}\times(\frac{1 gallon }{138500kj})

C_{3}=1.66\times10^{-5} $/kj.

Thus, the method ‘a’ has least cost as compare to method b and c.

So, option ‘a’ is the cheapest for this house.

 

5 0
2 years ago
What type of companies would employ in mechanics engineering​
Alex73 [517]
What do y’all do when ya girl go eat lunch and eat it and eat
3 0
3 years ago
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Ann [662]

The number of tubs that each of them sold is; 24 tubs each

The number of days it will take for both of them to sell same amount of tubs is; 4 days

Number of cookies that Nicole had already sold = 4 tubs

Number of cookies sold by Josie before counting = 0 cookies

Nicole now sells 5 tubs per day and

Josie now sells 6 tubs per day.

Let the number of days it will take for them to have sold the same amount of cookies be d.

Thus;

5d + 4 = 6d + 0

6d - 5d = 4

d = 4 days

Thus, total number of cookies for both are;

Total for Nicole = 4 + 5(4) = 24 cookies

Total for Josie = 6(4) = 24 cookies

Read more about proportion at; brainly.com/question/870035

6 0
2 years ago
HELP PLEASE!!!!!!!!!!!
MAXImum [283]
C is your answers!!!!!$3&2)//
7 0
3 years ago
Read 2 more answers
Because of ____________ people must make choices, and when they choose, they incur a(n)______________.
lbvjy [14]
There must be a photo for me to answer!
3 0
2 years ago
Other questions:
  • Which of these is least likely a step in replacing a failed compressor?
    12·2 answers
  • Water is pumped from one large reservoir to another at a higher elevation. If the flow rate is 2.5 ft3 /s and the pump delivers
    12·1 answer
  • An automobile engine consumes fuel at a rate of 22 L/h and delivers 85 kW of power to the wheels. If the fuel has a heating valu
    8·2 answers
  • - If you overload the rear portion of you vehicle & it's raining out, your car could easily:
    14·1 answer
  • I have a question for you guys
    13·2 answers
  • The point of contact of two pitch circles of mating gears is called?
    10·1 answer
  • A student lives in an apartment with a floor area of 60 m2 and ceiling height of 1.8 m. The apartment has a fresh (outdoor) air
    14·1 answer
  • What building codes did Mega Corporation fail to follow?
    9·1 answer
  • What effect does air have on the acceleration of aircraft during flight?
    5·1 answer
  • What lump sum of money must be deposited in a bank account at present time so that Php 500 monthly can be withdrawn for five yea
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!