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Dmitry_Shevchenko [17]
3 years ago
14

A website randomly selects among 10 products to discount each day. The color printer of interest to you is discounted today. Det

ermine the following:_______.
(a) What is the probability that this product is first discounted again exactly 10 days from now?
(b) What is the expected number of days until this product is again discounted?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

a) P = 0.039

b) The expected number of days is 10 days.

Step-by-step explanation:

The most appropiate distribution to use in this case is the geometric distribution, in order to calculate the probability of a success after k failure trials.

The probability of success, as each of the 10 products are assumed to have fair probabilities, is:

p=1/10=0.1

Then, the probability that our product is not selected any given day is:

q=1-p=1-0.1=0.9

a) The probability that exactly this product is selected exactly 10 days from now is the probability that is not selected (probbility q) for the next 9 days and selected (probability p) at the 10th day:

P=q^9p^1=0.9^9\cdot0.1=0.3874\cdot0.1=0.039

b) The expected number of days is calculated as:

E(X)=\dfrac{1}{p}=\dfrac{1}{0.1}=10

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Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the
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Answer:

Q1) Final cost = y*0.85*1.05  

Q2) Perimeter = 0.1*x - 16

Q3) One over five ( m - 100)

Step-by-step explanation:

We are given three question as follows:

Q1) Jamie purchased a DVD that was on sale for 15% off. The sales tax in her county is 5%. Let y represent the original price of the DVD. Write an expression that can be used to determine the final cost of the DVD.

Solution:

Note: The effect of each percentage on original price is as follows, where y is the original price of the DVD:

                        Discount of 15 % = Price reduced by 0.15*y

                        Sales Tax of 5% = Price increased by 0.05*y

- The resulting prices from each percentage is:

                        Amount left after discount = y - 0.15*y = 0.85*y

                        Amount after tax = y + 0.05*y = 1.05*y

- The factors of each affect are:

                        Factor of discount = 0.85

                        Factor of Tax          = 1.05

Hence, The factors are multiplied by the original cost to get the combined effect as follows:

Answer:            Final cost = y*0.85*1.05                

Q2) Write an expression for the perimeter of the triangle shown below: A triangle is shown with side lengths labeled 0.5*x + 9, 3x, and - 3.4*x - 25.

Solution:

               The perimeter of the triangle is the sum of all 3 sides given:

                        Perimeter = (0.5*x + 9) + (3x) + ( -3.4*x - 25 )

                        Perimeter = (0.5*x + 3x - 3.4x) + ( 9 - 25 )

Answer:           Perimeter = 0.1*x - 16

Q3) Which expression is equivalent to one over five*m − 20?

Solution:

- Re-write expression:

                                                   (1 / 5)*m - 20

Take LCM of the denominator:

                                                  (m - 100) / 5

Answer:                             One over five ( m - 100)

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