1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Burton Bush wants to retire in Arizona when he is 80 years of age. Burton, who is now 55, believes he will need $400,000 to reti
olga nikolaevna [1]
Comment if you need clarification!

7 0
3 years ago
Read 2 more answers
The tables below show four sets of data:
artcher [175]

Answer:

are think my answer is A, because x and y are are the same

6 0
3 years ago
Todd plans to swim 18 laps in a pool. Each lap 50 yards.so far Todd has swam 738 yards what percentage of the total has Todd com
Paha777 [63]

Answer:

He is 82 percent done

Step-by-step explanation:

by multiplying 18 laps by 50 yards we have to total distance of 900 yards

so using the equation (738/900) * 100 we get 82

4 0
3 years ago
Solve the inequality
Lana71 [14]
3x-12>15
3x>15+12
3x÷3>27÷3
x>9
7 0
3 years ago
Which representations of a transformation on a coordinate grid do NOT
Dmitry_Shevchenko [17]
I think answer should be e. Please give me brainlest let me know if it’s correct or not okay thanks bye I appreciate it
8 0
2 years ago
Other questions:
  • From a balloon 1191 feet high, the angle of depression to the ranger headquarters is 72°54'. How far is the headquarters from a
    15·1 answer
  • The average heights of x number of girls and 15 boys is 123. if the average heights of boys is 125 and that of girls is 120.find
    7·1 answer
  • The fare for a taxi cab is a $2 flat fee plus an additional $1.50 for each mile. Which equation represents the total cab fare in
    10·1 answer
  • Which graphs show functions with direct variation? Select three options.
    13·2 answers
  • If the circumference of a circle is x, then what is the area of the circle in terms of x?
    6·1 answer
  • Helpppppp me please I do anything!!!!
    15·2 answers
  • Drag the tiles to the correct boxes to complete the pair.
    11·1 answer
  • PLEASE HURRY WILL GIVE BRAINLIST ​
    8·2 answers
  • Write an integer addition
    11·1 answer
  • What is the missing reason for the 4th step in the proof below?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!