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.)

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

Hence, the required probability is 0.031918.

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.