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
creativ13 [48]
2 years ago
10

After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over

$2200 a day for about 85% of it's business days.
Mathematics
1 answer:
denpristay [2]2 years ago
5 0

Complete question is;

After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over $2200 a day for about 85% of it's business days. Using this as a reasonably accurate measure, find the probability that the green parrot will gross over $2200:

A. At least 5 of the next 7 business days.

B. at least 5 of the next 10 business days.

C. less than 3 of the next 5 business days.

d. Exactly 7 of the next 10 business days

e. At least 1 of the next 5 business days.

Answer:

A) P(X ≥ 5) = 0.9262

B) P(X ≥ 5) = 0.9986

C) P(X ≤ 2) = 0.0266

D) P(X = 7) = 0.1298

E) P(X ≥ 1) = 0.9999

Step-by-step explanation:

This is a binomial probability distribution problem and as such we will use the formula;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

A. At least 5 of the next 7 business days will be;

P (X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7)

P(X = 5) = C(7, 5) × 0.85^(5) × (1 - 0.85)^(7 - 5)

P(X = 5) = 0.20965

P(X = 6) = C(7, 6) × 0.85^(6) × (1 - 0.85)^(7 - 6)

P(X = 6) = 0.396

P(X = 7) = C(7, 7) × 0.85^(7) × (1 - 0.85)^(7 - 7)

P(X = 7) = 0.320577

Thus;

P(X ≥ 5) = 0.20965 + 0.396 + 0.320577

P(X ≥ 5) = 0.9262

B. Probability of at least 5 of the next 10 business days will be;

P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator attached, we can see that the answer is;

P(X ≥ 5) = 0.9986

C. Probability of less than 3 of the next 5 business days will be;

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

From online binomial calculator attached, we can see that the answer is;

P(X ≤ 2) = 0.0266

D. Probability of exactly 7 of the next 10 business days will be;

P(X = 7) = C(10, 7) × 0.85^(7) × (1 - 0.85)^(10 - 7)

P(X = 7) = 0.1298

e. Probability of at least 1 of the next 5 business days will be;

P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

From third image attached using online binomial calculator, we have;

P(X ≥ 1) = 0.9999

You might be interested in
Can someone plz help me solved this problem I need help ASAP plz help me! Will mark you as brainiest!
miv72 [106K]

Answer:

-1, 1

13, 15

Step-by-step explanation:

x and x+2 are the integers

  • x*(x+2)= 7(x+x+2) -1
  • x²+2x= 14x+14-1
  • x² - 12x -13= 0

Roots of the quadratic equation are: -1 and 13.

So the integers pairs are: -1, 1 and 13, 15

3 0
3 years ago
Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction o
gogolik [260]
Yes because yes and yes
8 0
2 years ago
During a dry year, the reservoir level dropped 512 feet. The next year the level rose 314 feet. Which expression shows the total
tia_tia [17]

Answer:

You will be hot as shet

Step-by-step explanation:

e

5 0
3 years ago
Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the n
AlexFokin [52]

Answer:

163 miles

Step-by-step explanation:

set up a ratio based on 49 miles in 1 hour (60 minutes):

let 'd' = distance in 3hrs, 20 min

3hrs, 20 min = 200 minutes

49/60 = d/200

cross-multiply:

60d = 9800

d = 163.3

7 0
2 years ago
What is the value of<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes
erma4kov [3.2K]

Answer:

2*2*2*2*9=144

√144

=12

8 0
2 years ago
Read 2 more answers
Other questions:
  • How many numbers are divisible by 100 between 1 and 6296?
    11·1 answer
  • What is the algebraic expression for: four less than three times the number of egg orders and six more than two times the number
    6·1 answer
  • 25 points:)<br><br> question 2-3
    12·1 answer
  • Eric has $100,000 in savings account.The interest rate is 8 % per year and is not compounded.To the nearest Dollar,how much will
    6·1 answer
  • A truck is 300 miles east of a car and is traveling west at the constant speed of 30 miles/hr meanwhile the car is going north a
    15·1 answer
  • Which one is more <br> –3\5 or –2/3<br> Please help
    5·2 answers
  • Plz help me answer this
    10·2 answers
  • 3 tons = ________ how many pounds
    9·2 answers
  • Sub :- Linear Equations
    15·1 answer
  • Which would be a solution to 2x + 3y =5 <br> answer choice<br> (5,5)<br> (1,,2)<br> (1,1)<br> (2,5)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!