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Question: Assume that we have two events. A and B. that are mutually exclusive. Assume further that we know P(A) = .30 and P(B). .40.
a. What is P(A ∩ B)?
b. What is P(A I B)?
c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer.
d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
Do not reject H0; the percentage of Americans who only use cell phones does differ from 23% Do not reject H0; the percentage of Americans who only use cell phones does not differ from 23%
1. A research study performed at checkout lines at Publix Supermarket in South Florida revealed that between 4pm and 7pm on weekdays there is an average of 4 customers waiting in line. What is the probability that you visit a Publix today during t..
Determine the Euler characteristic of all connected closed surfaces
It will sell "ordinary" T-shirts at profit of $4 each, "fancy" T-shirts at profit of $5 each, and "very fancy" T-shirts at a profit of $4 each. How many of each kind of T-shirt should the club order to maximize profit?
Suppose f: [0, 1] → R is upper semicontinuous: This means that for every x ∈ [0, 1] and every ε > 0, there exists δ > 0 such that |y -x|
The 100% rule is used in decision modeling to determine whether or not a change in project constraints or variables will affect the outcome of a decision. Under the 100% rule, any combination changes can occur without a change in the solution, as ..
A journalist observes that the total number of Facebook users, between 2010 and 2015, can be modeled by the linear equation u = 213t - 1740 (10 ≤ t ≤ 15) where u is the total number of Facebook users in millions, and t is the number of years since..
Math 164 - Quiz two State carefully a theorem that guarantees that Newton's method will converge to a zero of a real valued function of one real variable and write down a system of two first order ODE that has precisely two equilibrium solutions.
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However, they have time to make only a total of 110 pins. If their is $4.90 for each giraffe and $1.25 for each frog, what is their maximum profit?
Chapter : Trapezium Rule of integrationQuestion : Find the using n= 5 by trapezium rule
1. let a 1 2 3 n.a how many relations on a are both symmetric and antisymmetric?b if r is a relation on a that is
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