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dusya [7]
3 years ago
10

According to the "January theory," if the stock market is up for the month of January, it will be up for the year. If it is down

in January, it will be down for the year. According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years. Suppose there is no truth to this theory; that is, the probability it is either up or down is 0.5. What is the probability this could occur by chance? (Round your answer to 6 decimal places.)
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

Answer:

The required probability is 0.031918.

Step-by-step explanation:

Consider the provided information.

It is given that According to an article in The Wall Street Journal, this theory held for 22 out of the last 34 years.

Therefore n=34

The probability it is either up or down is 0.5.

Thus the value of p =0.5 and q = 0.5

Now calculate the probability

Let X is the number of years that theory held.

X has a binomial distribution with n=34 and p=0.5

P(X=22)=\binom{34}{22}(0.5)^{22}(0.5)^{12}\\P(X=22)=\frac{34!}{22!\times 12!}(0.5)^{22}(0.5)^{12}\\P(X=22)=548354040\times 5.8207660913\times 10^{11}\\P(X=22)=0.0319184060208\\P(X=22)\approx0.031918

Hence, the required probability is 0.031918.

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melamori03 [73]

Answer: 162.00 or 40.50 or 202.50

Step-by-step explanation:

$6.75 times 30 = 202.50

202.50 times 0.2 = 40.50

202.50 minus 40.50 = 162.00

7 0
3 years ago
PLEASE HELP! ( no random links )
yawa3891 [41]

Answer:

This is not a statistical question

Step-by-step explanation:

A statistical question is a question the gathers varying data

7 0
3 years ago
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Agata [3.3K]

Using the mean concept, it is found that the mean difference between the call times and the  company's average call time is given by:

  • C. 0.4

<h3>What is the mean?</h3>
  • The <em>mean </em>of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.

In this problem:

  • The four observations are the differences between the time of each phone call and the average time.
  • They are: {-2.32, -1.55, 4.79, 0.68}

Hence, the mean difference is:

M = \frac{-2.32 - 1.55 + 4.79 + 0.68}{4} = 0.4

Hence, option C is correct.

To learn more about the mean concept, you can take a look at brainly.com/question/13451786

6 0
2 years ago
Multiply and combine like terms. Use^for exponents. (2x-6) (3x-2)<br>​
Georgia [21]

Answer:

Expand the polynomial using the FOIL method.

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Step-by-step explanation:

5 0
2 years ago
NEED TO KNOW ASAP<br> Which of the following is a quadratic inequality?<br> Oy&lt;2x+7<br> Oy Oy
Burka [1]

Answer:

  (c)  y < x^2 -5x

Step-by-step explanation:

A quadratic inequality is one that involves a quadratic polynomial.

<h3>Identification</h3>

The degree of a polynomial is the value of the largest exponent of the variable. When the degree of a polynomial is 2, we call it a <em>quadratic</em>.

For the following inequalities, the degree of the polynomial in x is shown:

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<h3>Application</h3>

We see that the degree of the polynomial in x is 2 in ...

   y < x^2 -5x

so that is the quadratic inequality you're looking for.

__

<em>Additional comment</em>

When a term involves only one variable, its degree is the exponent of that variable: 5x^3 has degree 3. When a term involves more than one variable, the degree of the term is the sum of the exponents of the variables: 8x^4y3 has degree 4+3=7.

8 0
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