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
mixas84 [53]
4 years ago
13

Your friend is trying to figure out how much money he will spend at a food truck over the next 400 days. He buys all his coffee

and falafel sandwiches there. Each coffee costs $1 and the number of cups of coffee he buys on day i is a random variable Ci with a Poisson distribution with mean = 1. Every day he also buys a $1 falafel sandwich at the food cart with a probability of 50%. The amount of coffee he buys each day is independent of whether he buys lunch at the cart, and his consumption of coffee and lunch is independent across days. (a) Let F be the amount he spends on falafel sandwiches over the next 400 days. Find E[F] and V(F).
Mathematics
1 answer:
Over [174]4 years ago
7 0

Answer:

E(F)=200

V(F)=100

Step-by-step explanation:

(a) Let F be the amount he spends on falafel sandwiches over the next 400 days. Find E[F] and V(F).

If we analized his expenses in falafel sandwiches, we know he buys a $1 sandwich with aprobability of 50%.

If we call the random variable D the daily expense in falafel sandwiches, it is a Bernoulli variable with p=0.50.

If F is the sum of the daily expenses D during the 400 days, then we can say it is a binomial variable with p=0.5 and n=400.

Then we can calculate the expected value of F as:

E(F)=nE(D)=400*0.5=200

The variance of F is then

V(F)=n*V(D)=n*p(1-p)=400*0.5*(1-0.5)=400*0.25=100

You might be interested in
Can someone help me with my math assignments I’ll pay u 30$
finlep [7]

through venmo or what?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What two numbers add up to 4 and multiply to -60
Jet001 [13]

Answer:

10 + -6

Step-by-step explanation:

add them up to 4 and multiply to -60

8 0
3 years ago
What's the circumference of a circle with a radius of 10 inches
jeka57 [31]

Answer:

5

Step-by-step explanation:

5

6 0
3 years ago
Read 2 more answers
1. Simplifying Equation Below<br> please help!!
vichka [17]

Answer: 0

Step-by-step explanation:

In this equation 0/y would equal 0, no matter what y is. 0/y means that there's 0 items out of y items (ex: substitute y with 2, it would be 0/2). Beginning with 1*0 (one times zero) the answer there would be 0. Since we already know that 0/y equals 0, the rest of the equation would be 0 - 0 which would equal to 0. Hope this explanation helps :)

8 0
3 years ago
Read 2 more answers
What is the length of side AC
natulia [17]

Answer:

7 Units.

Step-by-step explanation:

First of all, you could just count the units, but that's not really too effective. Otherwise, you could start from the coordinates of the "C" point, and see how it's at -Y = -5. Therefore, to get to the line separating the two points, you would have to subtract 5 from 5 to get to the line. Now, you look at point "A". It's Y coordinate is 2. Therefore, adding 5 and 2 together gives you 7 units.

6 0
3 years ago
Other questions:
  • Find all x-intercepts of the function. Express your answer as a list of x-values. f ( x ) = − 45 x 3 + 60 x 2 − 20 x
    9·1 answer
  • Maria was given a 5% raise on her weekly salary of $375.
    5·2 answers
  • PLZ HELP I AM STUCK!
    9·1 answer
  • I really need help on this
    8·2 answers
  • What is the area of this parallelogram?
    8·2 answers
  • The graph shows your elevation during a bike ride. Which statement is true about your bike ride?
    14·1 answer
  • Find all zeros of the polynomial function. g(x) = x^4 + 2x^3 + 7x^2 + 2x - 8
    13·1 answer
  • -2 x 3/7<br> please help me!
    5·2 answers
  • Identify the property used to the following statements
    6·1 answer
  • A tank pumps out liquid at a rate of 12 gallons every 20 days.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!