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.
Answers
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
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
1/4*24+18=24
Step-by-step explanation:
1/4x+18=x
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--------------
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Step-by-step explanation:
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Answers
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y=2/3
Step-by-step explanation:
Answer:
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Step-by-step explanation:
The first thing you should do is convert both into standard y=mx+b form
For the first equation you subtract 5y and add 11 to both sides to get
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you divide by negative 5 to get
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13x-7= -11y
divide both sides by -11 to get
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Then plug x = -2 into the original equations to find y
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Add 26 to both sides
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y =3
1
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2
Answers
Answer:
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Answers
Answer:
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Pre-Algebra
Order of Operations: BPEMDAS
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Step 1: Define
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Point (4, -2)
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Answer:
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Step-by-step explanation:
Answer:
Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.
a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical.
b. Is the answer to the question that same as the solution to the inequality? Explain.
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
According to the question, given data are as follows:
Airplane altitude = 14,690 feet above
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So, let the difference between these two elevation be d,
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Ans23.0
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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y=3/2x-11/2
y=5/2x +10
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4th box
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Step-by-step explanation:
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Answer:
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Step-by-step explanation: