(g) If each customer takes 3 minutes to check out, what is the probability that it will take more than 6 minutes for all the customers currently in line to check out? The probability that it will take more than 6 minutes for all the customers currently in line to

Answers

Answer 1

Answer:

The probability that it will take more than 6 minutes for all the customers in line to check out is 0.40.

We are given the probability distribution of x, the number of customers in line at a supermarket express checkout counter.

Moreover, we are given that each customer takes 3 minutes to check out.

It means that if there are 0 customers in line, i.e., x=0, then it will take 0 minutes for all the customers currently in line to check out.

If there is 1 customer in line, i.e., x=1, then it will take 3 minutes for all the customers currently in line to check out.

If there are 2 customers in line, i.e., x=2, then it will take 6 minutes for all the customers currently in line to check out.

If there are 3 customers in line, i.e., x=3, then it will take 9 minutes for all the customers currently in line to check out.

If there are 4 customers in line, i.e., x=4, then it will take 12 minutes for all the customers currently in line to check out.

If there are 5 customers in line, i.e., x=5, then it will take 15 minutes for all the customers currently in line to check out.

From above we note that if there are 3 or more customers in the line, then it will take more than 6 minutes (note that the case of check out time equal to 6 minutes is not included when we want 'more than 6 minutes') for all the customers currently in line to check out.

Thus, required probability is given by:

P(more than 6 minutes for all the customers currently in line to check out) = P(x ≥ 3)

= P(x=3) + P(x=4) + P(x=5)

= 0.20 + 0.15 + 0.05

= 0.40

Therefore, the probability that it will take more than 6 minutes for all the customers in line to check out is 0.40.

To learn more about the probability visit:

brainly.com/question/11234923.

#SPJ3

Answer 2

Answer:

Final answer:

Without specific information on the total number of customers or the distribution of customers in line, we cannot calculate a specific probability for it to take more than 6 minutes for all customers to check out, given that each customer takes 3 minutes.

Explanation:

The question is about the probability that it will take more than 6 minutes for all the customers in line to check out, given that each customer takes 3 minutes. The time it takes for all the customers to check out is determined by the number of customers in line. If there are two or more customers in line, it will definitely take more than 6 minutes for all of them to check out, because the checkout time is 3 minutes per customer.

So, the question of probability relates to the likelihood of there being two or more customers in line. Without information on the total number of customers, or the distribution of customers in line, we cannot calculate a specific probability.

Please note, this is a practical application of topics in probability and queue theory, involving concepts like mean arrival rate and service rate.

Learn more about Probability here:

brainly.com/question/32117953

#SPJ3

Related Questions

A direct mailing company sells computers and computer parts by mail. The company claims that at least 90% of all orders are mailed within 72 hours after they are received. The quality control department at the company often takes samples to check if this claim is valid. A recently taken random sample of 150 orders showed that 129 of them were mailed within 72 hours. Set up the null and alternative hypotheses to test whether the company’s claim is true?
The drama club is participating in a bake sale to help them raise money for their next show. They want to raise $475. They have to pay $25 to have a table at the bake sale. How many cakes will they need to sell if they charge $9 per cake?Which equation could be used to solve this problem?475 = 9 c + 25475 = 9 c - 25475 = 25 c - 9475 = 25 c + 9
I AM IN A TEST AND I NEED THE ANSWER SOON!!! PLEASEE!!!THANK YOU SO MUCH!!
Collect like terms−8d2−3d2
A theater has a seating capacity of 750 and charges $3 for children, s5 for students, and $7 for adults. At a certain screening with fll ttendance, there were combined. The receipts totaled $3450. How many children attended the show?

8/3+7/5a

Simplify your answer as much as possible.

Answers

Answer:

mixed number: 4 1/15

Exact: 61/15

I think the answer is 8/3 + 7a/5

I need a reason how sort from least to greatest I don’t understand

Answers

Answer:

Step-by-step explanation:

$√(9) < 3.758375839203... < √(16) \n\n(√(20) )/(4) =\sqrt{(20)/(16) }=√(1.25) \n\n3√(2) =√(18) \n\n\n1.25 < 9 < 16 < 18 < 22\n\n\n\Rightarrow\ \ (√(20) )/(4) < 3.758375839203... < 3√(2) < √(22)$

PLEASE HELP!!!!!
will mark brainliest!!!!!

Answers

(-9,-6), (-3,0), (-2,1), (4,7), (6,9)

If m∠1 = 3x, m∠3 = 2x + 20 and m∠5 = 30, what is the value of x?

Answers

m∠2 = 180 - m∠1 = 180 - 3x [supplementary angles]

In a triangle, the three interior angles always add to 180° ⇒
m∠2 + m∠3 + m∠5 = 180
180-3x + 2x+20 + 30 = 180
230 - x = 180
x = 230 - 180
x = 50

You need a 70% alcohol solution. On hand, you have a 60 mL of of a 25% alcohol mixture. You also have 75% alcohol mixture. How much of the 75% mixture will you need to add to obtain the desired solution ?

Answers

15ml to become more concentrated divide the amount

Step-by-step explanation:

Can someone help me with this math problem 26.04 divided by -6.2

Answers

Answer:

-4.2

Step-by-step explanation:

To divide 26.04 by -6.2, you can follow these steps: Multiply both numbers by 10 to eliminate decimal places. Divide the resulting numbers. The answer is 4.24.

To divide 26.04 by -6.2, you can follow these steps:

Multiply both the dividend and divisor by 10 to eliminate the decimal places. You will get -262.4 divided by -62.
Divide the numbers as usual. -262.4 divided by -62 equals 4.24.

Therefore, 26.04 divided by -6.2 is equal to 4.24.

Learn more about Mathematics here:

brainly.com/question/26854035

#SPJ3

Other Questions

Does anyone wanna help

The distribution of the annual incomes of a group of middle management employees approximated a normal distribution with a mean of $37,200 and a standard deviation of $800. About 68% of the incomes lie between what two incomes

in calculating interest in the U.S. Rule from the last partial payment, the interest is subtracted from the adjusted balance true or false

In a sample of 49 adolescents who served as the subjects in an immunologic study, one variable of interest was the diameter of a skin test reaction to an allergen. The sample mean and standard deviation were 21 and 11 mm erythema, respectively. a. Use a z- or t-distribution? Why? b. One-sided or two-sided test? Why? c. Can it be concluded from these data that the population mean is less than 24 mm erythema? d. What is the range on the p-value?