Question

In: Statistics and Probability

If A denotes some​ event, what does Upper A overbar ​denote? If ​P(A)equals0.008​, what is the...

If A denotes some​ event, what does Upper A overbar ​denote? If ​P(A)equals0.008​, what is the value of ​P(Upper A overbar​)? If ​P(A)equals0.008​, is Upper A overbar ​unlikely? What does Upper A overbar ​denote?

Solutions

Expert Solution

The symbol represents the complement of an event A.

The complement of an event is the set of all possible outcomes except that particular event A.

For example, if 'A' is the event of getting heads on tossing a coin, then its complement would represent getting tails.

Another example would be: If 'A' is the event of getting '6' on rolling a fair die then is the event that the outcome is anything (out of 1,2,3,4,5) but 6.

Thus, according to total probability sum law -

-------------------------------------------------------------

Thus, if P(A) = 0.008 then -

As this is a very high probability value so its not unlikely. Instead its very likely.

-----------------------------

We can say that probability of occurence of any event rather than A is 0.992.

_______________________________________

orchestra answered 2 years ago
Next > < Previous

Related Solutions

A. If Upper X overbar =61​, Upper S=27​, and n=49​, and assuming that the population is...
A. If Upper X overbar =61​, Upper S=27​, and n=49​, and assuming that the population is normally​ distributed, construct a 90 % confidence interval estimate of the population​ mean, B. If n=200 and X=40​, construct a 99% confidence interval estimate of the population proportion. C.If n=400 and X=140​, construct a 99% confidence interval estimate of the population proportion.
If Upper X overbar = 90​, σ = 9​, and n = 68​, construct a 95​%...
If Upper X overbar = 90​, σ = 9​, and n = 68​, construct a 95​% confidence interval estimate of the population​ mean, μ. ______ ≤ μ ≤ _____ ​(Round to two decimal places as​ needed.)
Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS package, and let B be the event that the next request is for help with SAS. Suppose that P(A)=0.30 and P(B) = 0.50
Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS package, and let B be the event that the next request is for help with SAS. Suppose that P(A)=0.30 and P(B) = 0.50. (a) Why is it not the case that P(A) + P(B) = 1? (b) Calculate P(A'). (c) Calculate P(A \( \cup \)B). (d) Calculate P(A' \( \cap \)B').
Suppose that a firm faces the demand curve, P = 100 - 3Q, where P denotes...
Suppose that a firm faces the demand curve, P = 100 - 3Q, where P denotes price in dollars and Q denotes total unit sales. The cost equation is TC = 200 + 22Q. a. Determine the firm’s profit-maximizing output and price.    b. Suppose that there is a change in the production process so that the cost equation becomes TC = 80 + 12Q + Q2.   Determine the resulting effect on the firm’s output:    c. Using the two...
If P denotes the price of goods and services measured in terms of money, then
If P denotes the price of goods and services measured in terms of money, thena. 1/P represents the value of money measured in terms of goods and services.b. P can be interpreted as the inflation rate.c. the supply of money influences the value of P, but the demand for money does not.d. All of the above are correct.
E$/euro denotes the dollar per euro nominal exchange rate. P$/(Peruo)denotes the consumer price index in the...
E$/euro denotes the dollar per euro nominal exchange rate. P$/(Peruo)denotes the consumer price index in the US(Europe). which of the following is the definition of the dollar per euro real exchange rate？ A. E$/euro B.E$/euro P$/P euro C.E$/euro P euro/P$ D.none of the above
Let P(A)= event that the card selected is a heart, P(B)= event that the card selected...
Let P(A)= event that the card selected is a heart, P(B)= event that the card selected is a club, P(C)= event that the card selected is spade, P(D)= event that the card selected is a diamond, P(E)= even that the card selected is a face card. Find P(A), P(B or D), P(selecting an ace), P(selecting an even digit card or E), P(selecting a red card) P(King of hearts) Create a probability statement and find the theoretical probability.
If Upper X overbar equals71​, sigma equals 14​, and n equals 66​, construct a 99% confidence...
If Upper X overbar equals71​, sigma equals 14​, and n equals 66​, construct a 99% confidence interval estimate of the population​ mean, mu . _ < or equal mu < or equal _
Describe a normative event and a idiosyncratic event. What are some normative events that typically occur...
Describe a normative event and a idiosyncratic event. What are some normative events that typically occur in young adulthood? How might a idiosyncratic event shape /impact the life of young adult? Your response should be 5 paragraphs in length. Be mindful of using proper grammar and spelling. Please be specific in your example.
Test the hypothesis using the​ P-value approach. Upper H 0 : p equals 0.50 versus Upper...
Test the hypothesis using the​ P-value approach. Upper H 0 : p equals 0.50 versus Upper H 1 : p less than 0.50 n equals 150 comma x equals 66 comma alpha equals 0.10 Perform the test using the​ P-value approach. ​P-valueequals nothing ​(Round to four decimal places as​ needed.)
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT