Question: If P(A) = 0.5, P(A B) = 0.1, and P(A B) = 0.8, what is P(B)?

If P(A) = 0.5, P(A ∩ B) = 0.1, and P(A ∪ B) = 0.8, what is P(B)?

Step by Step Solution

★★★★★

3.26 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Since PA B PA P... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

943-M-S-P (8836).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

If P (a) = 0.4 and P(b/a) = 0.3, what is P(a and b)? If P(b) = 0.6, what is P(a/b)?

Q:

If P (A) = 0.4, P(B) = 0.5 and P(A and B) =0.7, Find P(A or B).

Q:

If P (A) = 0.3, P (B) = 0.2, and P (A U B) = 0.1, determine the following probabilities: (a) P (A) (b) P (A U B) (c) P (A` B) (d) P (A B) (e) P [(A U B)] (f) P (A` U B)

Q:

NEED THE ANSWERS TO THIS QUESTIONS.. MULTIPLE CHOICE Three types of batteries are being tested, type I, type II, and type III. The outcome (I, II, III) denotes that the battery of type I fails first,...

Q:

(a) the temperature where vaporization starts (b) the composition of the first bubble of vapor (c) the composition of the residual liquid when 25 mol% has evaporated, if all vapor formed is retained...

Q:

Answer the following questions. (Answers only, no need to explain) O Question 1 V 0/1 pt 3 99 8 Details A population numbers 12,000 organisms initially and decreases by 7.8% each year. Suppose P...

Q:

A manager wants to assign tasks to workstations as efficiently as possible and achieve an hourly output of 31 units. Assume the shop works a 58-minute hour. Assign the tasks shown in the accompanying...

Q:

Question 2 a) In a regional city, two lawn companies fertilise lawns during the summer. Company A has 72% of the market. Thirty per cent of the lawns fertilised by Company A could be rated as very...

Q:

Question 2 a) In a regional city, two lawn companies fertilise lawns during the summer. Company A has 72% of the market. Thirty per cent of the lawns fertilised by Company A could be rated as very...

Q:

Hello. I will be needing some assistance in this probability question as I find it hard to understand the chapter. Hope you can provide solutions to this question. Question 2 a) In a regional city,...

Q:

Ezra a high school senior; he works at The Home Depot as a sales associate, approximately 10 hours per week during the school year and 30 during the summer. He received this W-2 from his employer in...

Q:

Alex is in the course of trade selling real property. During the month of February, it had the following data (per sales document, inclusive of vat) Cash sales P560,000 Sales on deferred payment...

Q:

A compilation of your entire online history, habits and electronic profile is called _ _ _ _ _ _ _ _ _ _ _ . Group of answer choices Internet of Things ( IoT ) electronic profile digital personnel...

Q:

1 Assuming that Bangkok Bank issues a time draft on behalf of Sports Equipment, Inc. and Major Leagues, Inc., would Aussie Blades receive payment for its rollerblades before it delivers them? Do the...

Q:

The concentration of an active ingredient in the output of a chemical reaction is strongly influenced by the catalyst that is used in the reaction. It is believed that when catalyst A is used, the...

Q:

A taxi company tests a random sample of 10 steel-belted radial tires of a certain brand and records the following tread wear: 48,000, 53,000, 45,000, 61,000, 59,000, 56,000, 63,000, 49,000, 53,000,...

Q:

Consider Example 4.12 on page 189. Comment on any outliers. Example 4.12 Table 4.6: Nicotine Data for Example 4.12 1.74 1.97 2.31 1.92 1.47 2.55 1.69 1.09 1.79 2.28 1.70 1.64 1.24 2.03 0.85 1.86 1.58...

Q:

Topic: Annuities The time value of money is used for many important financial decisions that could affect long-term goals. The interest rate you pay on a loan can affect the amount you pay each...

Q:

For a Normal distribution with mean 0 and standard deviation 1, which of the following Python lines outputs the probability? Select one. import scipy.stats as st print(st.norm.cdf(1.88, 0, 1)) O...

Q:

Calculate the bond equivalent yield and effective annual return on a negotiable CD that is 1 2 0 days from maturity and has a quoted nominal yield of 6 . 6 4 percent. ( Use 3 6 5 days in a year. Do...