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Thepotemich [5.8K]
3 years ago
11

Need this very badly ​

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

C

Step-by-step explanation:directions

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1. Suppose an online retailer has determined that if a potential customer spends more than 5 minutes on their site, that the pro
vredina [299]

Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 12 customers, hence n = 12.
  • The probability of any of them making a purchase is of p = 0.4.

The probability that more than 7 will make a purchase is given by:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).

Hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042

P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012

P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02

P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0

P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0

Then:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.

0.056 = 5.6% probability that more than 7 will make a purchase.

More can be learned about the binomial distribution at brainly.com/question/24863377

3 0
2 years ago
Write an expression for the area of the figure. Expand and simplify.
RoseWind [281]
60 because y is substituting for 1 and if a number is 2y that means it is 2 because you multiple 2 and 1.
6 0
3 years ago
Read 2 more answers
The rate for the following: 6-pound bag of apples for \$4.00 .
pantera1 [17]

Given that,

Cost of 6 pounds apples = $4.00

To find,

Unit rate.

Solution,

We have,

6 pounds apples = $4.00

We can find the cost of 1 pound of apples as follows :

1 pound apples =$ (4/6)

= $0.67

So, the cost of 1 pound apples is $0.67.

4 0
3 years ago
Which statement describes the first step to solve the equation by completing the square?
BabaBlast [244]
Take 16x divide it by 2 and square it. 16/2= 8. 8^2= 64. So, the first step will be to add 64 to both sides.
8 0
3 years ago
The admissions office of a private university released the following admission data for the preceding academic year: From a pool
lina2011 [118]

Answer: Our required probability is 0.1695.

Step-by-step explanation:

Since we have given that

Number of male applicants = 4200

Number of female applicants = 3800

So, total number of applicants = 4200+3800 = 8000

Probability of male entered and subsequently enrolled is given by

0.4\times 0.4=0.16

Probability of female entered and subsequently enrolled is given by

0.4\times 0.45\\\\=0.18

Number of male entered and subsequently enrolled is given by

0.16\times 4200\\\\=672

Number of female entered and subsequently enrolled is given by

0.18\times 3800\\\\=684

So, Probability that a student who applied  for admission will be accepted by the university and subsequently will enroll is given by

\dfrac{672+684}{8000}\\\\=\dfrac{1356}{8000}\\\\=0.1695

Hence, our required probability is 0.1695.

3 0
3 years ago
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