If two events A and B are independent and you know that P(A) = 0.85, what is the value of P(A | B)?

A biology professor claims that, on the average, 15% of her students get a grade of A, 30% get a B, and 30% get a C, 10% get a D, and 15% get an F. The grades of a random sample of 117 students were recorded. The following table presents the results. Grade 1- 12 Grade 2- 51 Grade 3- 23 Grade 4- 28 Grade 5- 3 What is the value of x2 (x squared) 11.143 9.488 49.038 47.900

By rewriting the formula for the Multiplication Rule, you can write a formula for finding P(A and B) conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B) A)= P(A) The probability that an airplane flight departs on time is 0.89. The probability that a flight arrives on time is 0.87. The probability that a flight departs and arrives on time is 0.83. The probability that a flight arrives on time given that it departed on time is (Round to the nearest thousandth as needed.) Get more help 经 Chp Use the information below to find the probability that a flight arrives on time given that it departed on time. 41°F Clear Cl

Use the following for the next two questions: The Hershey Company wants to know if it is doing better in the US than its biggest competitor, Nestle, during their biggest sales month of October. A random sample of 50 US grocery stores are chosen and their October, 2020 sales records are collected. Let ???? and ???? be the true average sales in millions of dollars of Hershey and Nestle products sold in US grocery stores during October, 2020 respectively. The 95% confidence interval for ???? − ???? from our sample data is (54, 346) millions of dollars   What is the difference in the sample means ??̅?? − ??̅??? Round to the nearest whole number. 200

A certain affects virus 0.4% of the population (in a population of 100,000 people, 400 will be infected with the virus). A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and it is positive 14% of the time if the person does not have the virus (false positive). Fill in the remainder of the following table and use it to answer the questions below. Infected Not Infected Total Positive Test Negative Test Total 400 99,600 100,000 Round all percents to the nearest tenth of a percent as needed. a) Examine the "Positive Test" row of the table. If a person tests positive for the virus, what is the probability that the person is really infected. (Note: in medical terminology, this probability measures the "positive predictive value" of the test) b) If a person tests negative for the virus, what is the probability that the person really is not infected. (This is called the "negative predictive value")

The probability that an event will happen is P(E)= 0.47. Find the probability that the event will not happen. The probability that the event will not happen is (Simplify your answer.)

Determine the value of each quantity. a. 7C3 b. 5C2 c. 8C4 d. 6CO e. 9C9

A student goes to the library. Let events B = the student checks out a book and D = the student checks out a DVD. Suppose that P(B) = 0.56, P(D) = 0.95 and P(B AND D) = 0.39. Find P(D|B). Give your answer as a decimal rounded to the nearest hundredth.

For two events A and B, P(A)=0.5 and P(B)=0.2. Then P(A or B) equals:

Given P(E or F) =0.65 , P(E) = 0.42 and P(EandF) = 0.02 , what is P(F) ?